Publications

2024 (accepted)

• Rezgar Shakeri*, Leila Ghaffari*, Jeremy L. Thompson*, and Jed Brown. Stable numerics for finite-strain elasticity. 2024 (accepted). doi:10.48550/arXiv.2401.13196.
  [BibTeX]

  @misc{shakeri2024stable,
      author = "Shakeri*, Rezgar and Ghaffari*, Leila and Thompson*, Jeremy L. and Brown, Jed",
      title = "Stable numerics for finite-strain elasticity",
      journal = "International Journal for Numerical Methods in Engineering",
      year = "2024 (accepted)",
      doi = "10.48550/arXiv.2401.13196"
  }

2023 (submitted)

• Martin Schreiber and Jed Brown. A generalized rational approximation of exponential integration (REXI) for massively parallel time integration. working paper or preprint, December 2023 (submitted). URL: https://hal.science/hal-04363335.
  [ PDF ] [BibTeX]

  @unpublished{schreiber2023generalizedrexi,
      AUTHOR = "Schreiber, Martin and Brown, Jed",
      TITLE = "A generalized rational approximation of exponential integration ({REXI}) for massively parallel time integration",
      URL = "https://hal.science/hal-04363335",
      NOTE = "working paper or preprint",
      YEAR = "2023 (submitted)",
      MONTH = "December",
      KEYWORDS = "Exponential integrators rational approximation parallel-in-time Cauchy contour Butcher table diagonalization AMS subject classifications ; Exponential integrators ; rational approximation ; parallel-in-time ; Cauchy contour ; Butcher table ; diagonalization AMS subject classifications",
      PDF = "https://hal.science/hal-04363335/file/paper\_unified\_rexi.pdf",
      HAL_ID = "hal-04363335",
      HAL_VERSION = "v1"
  }

2023

• Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari*, Sebastian Grimberg, Tzanio Kolev, David Medina, Will Pazner, Thilina Ratnayaka, Rezgar Shakeri*, Jeremy L Thompson*, Stanimire Tomov, and James Wright III*. libCEED user manual. November 2023. doi:10.5281/zenodo.10062388.
  [BibTeX]

  @misc{libceed-user-manual,
      author = "Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Dobrev, Veselin and Dudouit, Yohann and Ghaffari*, Leila and Grimberg, Sebastian and Kolev, Tzanio and Medina, David and Pazner, Will and Ratnayaka, Thilina and Shakeri*, Rezgar and Thompson*, Jeremy L and Tomov, Stanimire and Wright III*, James",
      title = "{libCEED} User Manual",
      month = "November",
      year = "2023",
      publisher = "Zenodo",
      version = "0.12.0",
      doi = "10.5281/zenodo.10062388"
  }

• Zach Atkins*, Jed Brown, Leila Ghaffari*, Rezgar Shakeri*, Ren Stengel*, and Jeremy L Thompson*. Ratel user manual. November 2023. doi:10.5281/zenodo.10063890.
  [BibTeX]

  @misc{ratel-user-manual,
      author = "Atkins*, Zach and Brown, Jed and Ghaffari*, Leila and Shakeri*, Rezgar and Stengel*, Ren and Thompson*, Jeremy L",
      title = "Ratel User Manual",
      month = "November",
      year = "2023",
      publisher = "Zenodo",
      version = "v0.3.0",
      doi = "10.5281/zenodo.10063890"
  }

• Satish Balay, Shrirang Abhyankar, Mark F. Adams, Steven Benson, Jed Brown, Peter Brune, Kris Buschelman, Emil Constantinescu, Lisandro Dalcin, Alp Dener, Victor Eijkhout, Jacob Faibussowitsch, William D. Gropp, Václav Hapla, Tobin Isaac, Pierre Jolivet, Dmitry Karpeev, Dinesh Kaushik, Matthew G. Knepley, Fande Kong, Scott Kruger, Dave A. May, Lois Curfman McInnes, Richard Tran Mills, Lawrence Mitchell, Todd Munson, Jose E. Roman, Karl Rupp, Patrick Sanan, Jason Sarich, Barry F. Smith, Stefano Zampini, Hong Zhang, Hong Zhang, and Junchao Zhang. PETSc/TAO users manual. Technical Report ANL-21/39 - Revision 3.20, Argonne National Laboratory, 2023. doi:10.2172/2205494.
  [BibTeX]

  @TechReport{petsc-user-ref,
      author = "Balay, Satish and Abhyankar, Shrirang and Adams, Mark F. and Benson, Steven and Brown, Jed and Brune, Peter and Buschelman, Kris and Constantinescu, Emil and Dalcin, Lisandro and Dener, Alp and Eijkhout, Victor and Faibussowitsch, Jacob and Gropp, William D. and Hapla, V\'{a}clav and Isaac, Tobin and Jolivet, Pierre and Karpeev, Dmitry and Kaushik, Dinesh and Knepley, Matthew G. and Kong, Fande and Kruger, Scott and May, Dave A. and McInnes, Lois Curfman and Mills, Richard Tran and Mitchell, Lawrence and Munson, Todd and Roman, Jose E. and Rupp, Karl and Sanan, Patrick and Sarich, Jason and Smith, Barry F. and Zampini, Stefano and Zhang, Hong and Zhang, Hong and Zhang, Junchao",
      title = "{PETSc/TAO} Users Manual",
      institution = "Argonne National Laboratory",
      number = "ANL-21/39 - Revision 3.20",
      doi = "10.2172/2205494",
      year = "2023"
  }

• Jeff Hammond, Lisandro Dalcin, Erik Schnetter, Marc Pérache, Jean-Baptiste Besnard, Jed Brown, Gonzalo Brito Gadeschi, Simon Byrne, Joseph Schuchart, and Hui Zhou. Mpi application binary interface standardization. In Proceedings of the 30th European MPI Users' Group Meeting, 1–12. 2023. Best Paper Award. doi:10.1145/3615318.3615319.
  [BibTeX]

  @inproceedings{hammond2023mpi,
      author = "Hammond, Jeff and Dalcin, Lisandro and Schnetter, Erik and P{\'e}rache, Marc and Besnard, Jean-Baptiste and Brown, Jed and Gadeschi, Gonzalo Brito and Byrne, Simon and Schuchart, Joseph and Zhou, Hui",
      title = "MPI Application Binary Interface Standardization",
      booktitle = "Proceedings of the 30th European MPI Users' Group Meeting",
      pages = "1--12",
      year = "2023",
      doi = "10.1145/3615318.3615319",
      note = "Best Paper Award"
  }

• Tzanio Kolev, Paul Fischer, Ahmad Abdelfattah, Zachary Atkins*, Adeleke Bankole*, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, John Holmen, Kenneth E Jansen, Stefan Kerkemeier, Yu-Hsiang Lan, Damon McDougall, Elia Merzari, Misun Min, Malachi Phillips, Thilina Ratnayaka, Kris Rowe, Mark S. Shephard, Cameron W. Smith, Jeremy L. Thompson*, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, Umesh Unnikrishnan, Arturo Vargas, Tim Warburton, and James Wright III*. CEED ECP Milestone Report: Support ECP applications in their exascale challenge problem runs. April 2023. doi:10.5281/zenodo.7820316.
  [BibTeX]

  @misc{kolev_2023_7820316,
      author = "Kolev, Tzanio and Fischer, Paul and Abdelfattah, Ahmad and Atkins*, Zachary and Bankole*, Adeleke and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Carson, Robert and Chalmers, Noel and Dobrev, Veselin and Holmen, John and Jansen, Kenneth E and Kerkemeier, Stefan and Lan, Yu-Hsiang and McDougall, Damon and Merzari, Elia and Min, Misun and Phillips, Malachi and Ratnayaka, Thilina and Rowe, Kris and Shephard, Mark S. and Smith, Cameron W. and Thompson*, Jeremy L. and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Unnikrishnan, Umesh and Vargas, Arturo and Warburton, Tim and Wright III*, James",
      title = "{CEED ECP Milestone Report: Support ECP applications in their exascale challenge problem runs}",
      month = "April",
      year = "2023",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.7820316"
  }

• Tzanio Kolev, Paul Fischer, Ahmad Abdelfattah, Ramesh Balakrishnan, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Hugh Carson, Robert Carson, Noel Chalmers, Matthew Churchfield, Veselin Dobrev, Sebastian Grimberg, Yichen Guo, Stefan Kerkemeier, Yu-Hsiang Lan, Victor A. Mateevitsi, Matthew McCall, Elia Merzari, Misun Min, Ketan Mittal, Will Pazner, Malachi Phillips, Finnur Pind, Thilina Ratnayaka, Robert N. Rieben, Kris Rowe, Mark S. Shephard, Cameron W. Smith, Thomas Stitt, Michael Sprague, Amik St-Cyr, Solvi Thrastarson, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, Arturo Vargas, Tim Warburton, and Kenneth Weiss. CEED ECP Milestone Report: Document and popularize CEED-developed software and standards. October 2023. doi:10.5281/zenodo.10023494.
  [BibTeX]

  @misc{kolev_2023_10023494,
      author = "Kolev, Tzanio and Fischer, Paul and Abdelfattah, Ahmad and Balakrishnan, Ramesh and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Carson, Hugh and Carson, Robert and Chalmers, Noel and Churchfield, Matthew and Dobrev, Veselin and Grimberg, Sebastian and Guo, Yichen and Kerkemeier, Stefan and Lan, Yu-Hsiang and Mateevitsi, Victor A. and McCall, Matthew and Merzari, Elia and Min, Misun and Mittal, Ketan and Pazner, Will and Phillips, Malachi and Pind, Finnur and Ratnayaka, Thilina and Rieben, Robert N. and Rowe, Kris and Shephard, Mark S. and Smith, Cameron W. and Stitt, Thomas and Sprague, Michael and St-Cyr, Amik and Thrastarson, Solvi and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Vargas, Arturo and Warburton, Tim and Weiss, Kenneth",
      title = "{CEED ECP Milestone Report: Document and popularize CEED-developed software and standards}",
      month = "October",
      year = "2023",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.10023494"
  }

• Michael McCabe*, Peter Harrington, Shashank Subramanian, and Jed Brown. Towards stability of autoregressive neural operators. Transactions on Machine Learning Research, 2023. URL: https://openreview.net/forum?id=RFfUUtKYOG.
  [BibTeX]

  @article{mccabe2023autoregressive,
      author = "McCabe*, Michael and Harrington, Peter and Subramanian, Shashank and Brown, Jed",
      title = "Towards Stability of Autoregressive Neural Operators",
      journal = "Transactions on Machine Learning Research",
      issn = "2835-8856",
      year = "2023",
      url = "https://openreview.net/forum?id=RFfUUtKYOG"
  }

• Jeremy L. Thompson*, Jed Brown, and Yunhui He. Local fourier analysis of p-multigrid for high-order finite element operators. SIAM Journal on Scientific Computing, 45(3):S351–S370, 2023. doi:10.1137/21M1431199.
  [BibTeX]

  @article{thompson2023lfapmg,
      author = "Thompson*, Jeremy L. and Brown, Jed and He, Yunhui",
      title = "Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators",
      journal = "SIAM Journal on Scientific Computing",
      volume = "45",
      number = "3",
      pages = "S351-S370",
      year = "2023",
      doi = "10.1137/21M1431199",
      abstract = "Multigrid methods are popular for solving linear systems derived from discretizing PDEs. Local Fourier analysis (LFA) is a technique for investigating and tuning multigrid methods. P-multigrid is popular for high-order or spectral finite element methods, especially on unstructured meshes. In this paper, we introduce LFAToolkit.jl, a new Julia package for LFA of high-order finite element methods. LFAToolkit.jl analyzes preconditioning techniques for arbitrary systems of second order PDEs and supports mixed finite element methods. Specifically, we develop LFA of p-multigrid with arbitrary second-order PDEs using high-order finite element discretizations and examine the performance of Jacobi and Chebyshev smoothing for two-grid schemes with aggressive p-coarsening. A natural extension of this LFA framework is the analysis of h-multigrid for finite element discretizations or finite difference discretizations that can be represented in the language of finite elements. With this extension, we can replicate previous work on the LFA of h-multigrid for arbitrary order discretizations using a convenient and extensible abstraction. Examples in one, two, and three dimensions are presented to validate our LFA of p-multigrid for the Laplacian and linear elasticity."
  }

• Jake Tronge, Howard Pritchard, and Jed Brown. Improving MPI safety for modern languages. In Proceedings of the 30th European MPI Users' Group Meeting, 1–11. 2023. doi:10.1145/3615318.3615328.
  [BibTeX]

  @inproceedings{tronge2023improving,
      author = "Tronge, Jake and Pritchard, Howard and Brown, Jed",
      title = "Improving {MPI} Safety for Modern Languages",
      booktitle = "Proceedings of the 30th European MPI Users' Group Meeting",
      pages = "1--11",
      year = "2023",
      doi = "10.1145/3615318.3615328"
  }

2022

• Mark Adams, Satish Balay, Oana Marin, Lois Curfman Mcinnes, Richard Tran Mills, Todd Munson, Hong Zhang, Junchao Zhang, Jed Brown, Victor Eijkhout, Jacob Faibussowitsch, Matthew Knepley, Fande Kong, Scott Kruger, and Barry Smith. The petsc community as infrastructure. Computing in Science & Engineering, 2022. arXiv:2201.00967, doi:10.1109/MCSE.2022.3169974.
  [BibTeX]

  @article{petsc2022community,
      author = "Adams, Mark and Balay, Satish and Marin, Oana and Mcinnes, Lois Curfman and Mills, Richard Tran and Munson, Todd and Zhang, Hong and Zhang, Junchao and Brown, Jed and Eijkhout, Victor and Faibussowitsch, Jacob and Knepley, Matthew and Kong, Fande and Kruger, Scott and Smith, Barry",
      title = "The PETSc Community as Infrastructure",
      journal = "Computing in Science \\& Engineering",
      archivePrefix = "arXiv",
      eprint = "2201.00967",
      doi = "10.1109/MCSE.2022.3169974",
      year = "2022"
  }

• Jed Brown, Valeria Barra*, Natalie Beams, Leila Ghaffari*, Matthew Knepley, William Moses, Rezgar Shakeri*, Karen Stengel*, Jeremy L. Thompson*, and Junchao Zhang. Performance portable solid mechanics via matrix-free $p$-multigrid. 2022. URL: https://arxiv.org/abs/2204.01722, doi:10.48550/ARXIV.2204.01722.
  [BibTeX]

  @misc{brown2023perfportable,
      author = "Brown, Jed and Barra*, Valeria and Beams, Natalie and Ghaffari*, Leila and Knepley, Matthew and Moses, William and Shakeri*, Rezgar and Stengel*, Karen and Thompson*, Jeremy L. and Zhang, Junchao",
      doi = "10.48550/ARXIV.2204.01722",
      url = "https://arxiv.org/abs/2204.01722",
      keywords = "Mathematical Software (cs.MS), Computational Engineering, Finance, and Science (cs.CE), Distributed, Parallel, and Cluster Computing (cs.DC), Numerical Analysis (math.NA), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics, G.1.8; G.1.5; G.1.10; G.4; J.2; J.6; D.1.3",
      title = "Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid",
      publisher = "arXiv",
      year = "2022",
      copyright = "Creative Commons Attribution 4.0 International"
  }

• Kenneth E. Jansen and Jed Brown. Numerical Methods in Turbulence Simulation, chapter Finite element methods for turbulence. Academic Press, 2022. doi:10.1016/B978-0-32-391144-3.00011-5.
  [BibTeX]

  @inbook{jansen2022feturbulence,
      author = "Jansen, Kenneth E. and Brown, Jed",
      title = "Numerical Methods in Turbulence Simulation",
      chapter = "Finite element methods for turbulence",
      bookeditor = "Moser, Robert",
      publisher = "Academic Press",
      year = "2022",
      isbn = "978-0-323-91144-3",
      doi = "10.1016/B978-0-32-391144-3.00011-5"
  }

• Tzanio Kolev, Paul Fischer, Ahmad Abdelfattah, Adeleke Bankole*, Natalie Beams, Michael Brazell, Jed Brown, Jean-Sylvain Camier, Noel Chalmers, Matthew Churchfield, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari*, John Holmen, Stefan Kerkemeier, Yu-Hsiang Lan, Yimin Lin, Damon McDougall, Elia Merzari, Misun Min, Ketan Mittal, Will Pazner, Malachi Phillips, Thilina Ratnayaka, Kris Rowe, Mark S. Shephard, Cameron W. Smith, Michael Sprague, Jeremy L. Thompson*, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, Tim Warburton, and James Wright* III. CEED ECP Milestone Report: Improve performance and capabilities of CEED-enabled ECP applications on Frontier/Aurora EA. September 2022. doi:10.5281/zenodo.7202571.
  [BibTeX]

  @misc{kolev_tzanio_2022_7202571,
      author = "Kolev, Tzanio and Fischer, Paul and Abdelfattah, Ahmad and Bankole*, Adeleke and Beams, Natalie and Brazell, Michael and Brown, Jed and Camier, Jean-Sylvain and Chalmers, Noel and Churchfield, Matthew and Dobrev, Veselin and Dudouit, Yohann and Ghaffari*, Leila and Holmen, John and Kerkemeier, Stefan and Lan, Yu-Hsiang and Lin, Yimin and McDougall, Damon and Merzari, Elia and Min, Misun and Mittal, Ketan and Pazner, Will and Phillips, Malachi and Ratnayaka, Thilina and Rowe, Kris and Shephard, Mark S. and Smith, Cameron W. and Sprague, Michael and Thompson*, Jeremy L. and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Warburton, Tim and Wright* III, James",
      title = "{CEED ECP Milestone Report: Improve performance and capabilities of CEED-enabled ECP applications on Frontier/Aurora EA}",
      month = "September",
      year = "2022",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.7202571"
  }

• Tzanio Kolev, Paul Fischer, Ahmad Abdelfattah, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari*, Aditya Y. Joshi, Stefan Kerkemeier, Yu-Hsiang Lan, Damon McDougall, David Medina, Misun Min, Abhishek Mishra, Will Pazner, Malachi Phillips, Thilina Ratnayaka, Mark S. Shephard, Morteza H. Siboni, Cameron W. Smith, Jeremy L. Thompson*, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: High-order algorithmic developments and optimizations for more robust exascale applications. April 2022. doi:10.5281/zenodo.6514857.
  [BibTeX]

  @misc{kolev_tzanio_2022_6514857,
      author = "Kolev, Tzanio and Fischer, Paul and Abdelfattah, Ahmad and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Carson, Robert and Chalmers, Noel and Dobrev, Veselin and Dudouit, Yohann and Ghaffari*, Leila and Joshi, Aditya Y. and Kerkemeier, Stefan and Lan, Yu-Hsiang and McDougall, Damon and Medina, David and Min, Misun and Mishra, Abhishek and Pazner, Will and Phillips, Malachi and Ratnayaka, Thilina and Shephard, Mark S. and Siboni, Morteza H. and Smith, Cameron W. and Thompson*, Jeremy L. and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: High-order algorithmic developments and optimizations for more robust exascale applications}",
      month = "April",
      year = "2022",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.6514857"
  }

• Junchao Zhang, Jed Brown, Satish Balay, Jacob Faibussowitsch, Matthew Knepley, Oana Marin, Richard Tran Mills, Todd Munson, Barry F. Smith, and Stefano Zampini. The PetscSF scalable communication layer. IEEE Transactions on Parallel and Distributed Systems, 2022. arXiv:2102.13018, doi:10.1109/TPDS.2021.3084070.
  [BibTeX]

  @article{zhang2022petscsf,
      author = "Zhang, Junchao and Brown, Jed and Balay, Satish and Faibussowitsch, Jacob and Knepley, Matthew and Marin, Oana and Mills, Richard Tran and Munson, Todd and Smith, Barry F. and Zampini, Stefano",
      title = "The {PetscSF} Scalable Communication Layer",
      journal = "IEEE Transactions on Parallel and Distributed Systems",
      archivePrefix = "arXiv",
      eprint = "2102.13018",
      year = "2022",
      volume = "33",
      issue = "4",
      doi = "10.1109/TPDS.2021.3084070"
  }

2021

• Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Ryan Bleile, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, Paul Fischer, Ali Karakus, Stefan Kerkemeier, Tzanio Kolev, Yu-Hsiang Lan, Elia Merzari, Misun Min, Malachi Phillips, Thilina Rathnayake, Robert Rieben, Thomas Stitt, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, Arturo Vargas, Timothy Warburton, and Kenneth Weiss. GPU algorithms for efficient exascale discretizations. Parallel Computing, 108:102841, 2021. arXiv:2109.05072, doi:10.1016/j.parco.2021.102841.
  [BibTeX]

  @article{abdelfattah2021gpu,
      author = "Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Bleile, Ryan and Brown, Jed and Camier, Jean-Sylvain and Carson, Robert and Chalmers, Noel and Dobrev, Veselin and Dudouit, Yohann and Fischer, Paul and Karakus, Ali and Kerkemeier, Stefan and Kolev, Tzanio and Lan, Yu-Hsiang and Merzari, Elia and Min, Misun and Phillips, Malachi and Rathnayake, Thilina and Rieben, Robert and Stitt, Thomas and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Vargas, Arturo and Warburton, Timothy and Weiss, Kenneth",
      title = "{GPU} Algorithms for Efficient Exascale Discretizations",
      journal = "Parallel Computing",
      volume = "108",
      pages = "102841",
      year = "2021",
      doi = "10.1016/j.parco.2021.102841",
      archivePrefix = "arXiv",
      eprint = "2109.05072",
      primaryClass = "cs.DC"
  }

• Jed Brown, Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Jean-Sylvain Camier, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari*, Tzanio Kolev, David Medina, Will Pazner, Thilina Ratnayaka, Jeremy Thompson*, and Stan Tomov. libCEED: fast algebra for high-order element-based discretizations. Journal of Open Source Software, 6(63):2945, 2021. doi:10.21105/joss.02945.
  [BibTeX]

  @article{brown2021libceed,
      author = "Brown, Jed and Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Camier, Jean-Sylvain and Dobrev, Veselin and Dudouit, Yohann and Ghaffari*, Leila and Kolev, Tzanio and Medina, David and Pazner, Will and Ratnayaka, Thilina and Thompson*, Jeremy and Tomov, Stan",
      title = "{libCEED}: Fast algebra for high-order element-based discretizations",
      year = "2021",
      publisher = "The Open Journal",
      journal = "Journal of Open Source Software",
      volume = "6",
      number = "63",
      pages = "2945",
      doi = "10.21105/joss.02945"
  }

• Jed Brown, Yunhui He, Scott MacLachlan, Matt Menickelly, and Stefan M Wild. Tuning multigrid methods with robust optimization. SIAM Journal on Scientific Computing, 43:A109–A138, 2021. arXiv:2001.00887, doi:10.1137/19M1308669.
  [BibTeX]

  @article{brown2021tuning,
      author = "Brown, Jed and He, Yunhui and MacLachlan, Scott and Menickelly, Matt and Wild, Stefan M",
      title = "Tuning Multigrid Methods with Robust Optimization",
      journal = "SIAM Journal on Scientific Computing",
      volume = "43",
      issue = "1",
      pages = "A109--A138",
      archivePrefix = "arXiv",
      eprint = "2001.00887",
      year = "2021",
      doi = "10.1137/19M1308669"
  }

• Tzanio Kolev, Paul Fischer, Anthony P. Austin, Andrew T. Barker, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, and et al. CEED ECP milestone report: high-order algorithmic developments and optimizations for large-scale GPU-accelerated simulations. March 2021. doi:10.5281/zenodo.4672664.
  [BibTeX]

  @misc{kolev2021ceedms36,
      author = "Kolev, Tzanio and Fischer, Paul and Austin, Anthony P. and Barker, Andrew T. and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Chalmers, Noel and Dobrev, Veselin and Dudouit, Yohann and et al.",
      title = "{CEED ECP} Milestone Report: High-order algorithmic developments and optimizations for large-scale {GPU}-accelerated simulations",
      DOI = "10.5281/zenodo.4672664",
      publisher = "Zenodo",
      year = "2021",
      month = "March"
  }

• Tzanio Kolev, Paul Fischer, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Noel Chalmers, Veselin Dobrev, Yohan Dudouit, Stefan Kerkemeier, Yu-Hsiang Lan, Yimin Lin, Neil Lindquist, Damon McDougall, David Medina, Elia Merzari, Misun Min, Scott Moe, Will Pazner, Malachi Phillips, Thilina Ratnayaka, Kris Rowe, Mark S. Shephard, Cameron W. Smith, Stanimire Tomov, and Tim Warburton. CEED ECP Milestone Report: Port and optimize the CEED software stack to Aurora / Frontier EA Systems. September 2021. URL: https://doi.org/10.5281/zenodo.5542244, doi:10.5281/zenodo.5542244.
  [BibTeX]

  @misc{kolev_tzanio_2021_5542244,
      author = "Kolev, Tzanio and Fischer, Paul and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Chalmers, Noel and Dobrev, Veselin and Dudouit, Yohan and Kerkemeier, Stefan and Lan, Yu-Hsiang and Lin, Yimin and Lindquist, Neil and McDougall, Damon and Medina, David and Merzari, Elia and Min, Misun and Moe, Scott and Pazner, Will and Phillips, Malachi and Ratnayaka, Thilina and Rowe, Kris and Shephard, Mark S. and Smith, Cameron W. and Tomov, Stanimire and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Port and optimize the CEED software stack to Aurora / Frontier EA Systems}",
      month = "September",
      year = "2021",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.5542244",
      url = "https://doi.org/10.5281/zenodo.5542244"
  }

• Tzanio Kolev, Paul Fischer, Misun Min, Jack Dongarra, Jed Brown, Veselin Dobrev, Tim Warburton, Stanimire Tomov, Mark S. Shephard, Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Jean-Sylvain Camier, Noel Chalmers, Yohann Dudouit, Ali Karakus, Ian Karlin, Stefan Kerkemeier, Yu-Hsiang Lan, David Medina, Elia Merzari, Aleksandr Obabko, Will Pazner, Thilina Rathnayake, Cameron W. Smith, Lukas Spies, Kasia Swirydowicz, Jeremy Thompson*, Ananias Tomboulides, and Vladimir Tomov. Efficient exascale discretizations: high-order finite element methods. International Journal of High Performance Computing Applications, 2021. arXiv:2109.04996, doi:10.1177/10943420211020803.
  [BibTeX]

  @article{kolev2021ecpceed,
      author = "Kolev, Tzanio and Fischer, Paul and Min, Misun and Dongarra, Jack and Brown, Jed and Dobrev, Veselin and Warburton, Tim and Tomov, Stanimire and Shephard, Mark S. and Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Camier, Jean-Sylvain and Chalmers, Noel and Dudouit, Yohann and Karakus, Ali and Karlin, Ian and Kerkemeier, Stefan and Lan, Yu-Hsiang and Medina, David and Merzari, Elia and Obabko, Aleksandr and Pazner, Will and Rathnayake, Thilina and Smith, Cameron W. and Spies, Lukas and Swirydowicz, Kasia and Thompson*, Jeremy and Tomboulides, Ananias and Tomov, Vladimir",
      title = "Efficient Exascale Discretizations: High-Order Finite Element Methods",
      journal = "International Journal of High Performance Computing Applications",
      year = "2021",
      doi = "10.1177/10943420211020803",
      archivePrefix = "arXiv",
      eprint = "2109.04996",
      primaryClass = "cs.DC"
  }

• Michael McCabe* and Jed Brown. Learning to assimilate in chaotic dynamical systems. In Thirty-Fifth Conference on Neural Information Processing Systems. 2021. Acceptance Rate 25.6URL: https://proceedings.neurips.cc/paper/2021/hash/65cc2c8205a05d7379fa3a6386f710e1-Abstract.html.
  [BibTeX]

  @inproceedings{mccabe2021learning,
      author = "McCabe*, Michael and Brown, Jed",
      title = "Learning to Assimilate in Chaotic Dynamical Systems",
      booktitle = "Thirty-Fifth Conference on Neural Information Processing Systems",
      year = "2021",
      note = "Acceptance Rate 25.6\\%",
      url = "https://proceedings.neurips.cc/paper/2021/hash/65cc2c8205a05d7379fa3a6386f710e1-Abstract.html",
      reviewurl = "https://openreview.net/forum?id=ctusEbqyLwO"
  }

• Arash Mehraban*, Jeremy Thompson*, Jed Brown, Richard Regueiro, Valeria Barra*, and Henry Tufo. Simulating compressible and nearly-incompressible linear elasticity using an efficient parallel scalable matrix-free high-order finite element method. In Proceedings of WCCM-ECCOMAS2020, 1–15. 2021. doi:10.23967/wccm-eccomas.2020.302.
  [ PDF ] [BibTeX]

  @InProceedings{mehraban2021nearlyincompressible,
      author = "Mehraban*, Arash and Thompson*, Jeremy and Brown, Jed and Regueiro, Richard and Barra*, Valeria and Tufo, Henry",
      title = "Simulating Compressible and Nearly-Incompressible Linear Elasticity Using an Efficient Parallel Scalable Matrix-Free High-Order Finite Element Method",
      booktitle = "Proceedings of {WCCM-ECCOMAS2020}",
      pages = "1--15",
      year = "2021",
      doi = "10.23967/wccm-eccomas.2020.302",
      pdf = "//files/MehrabanAO-CompressibleNearlyIncompressibleLinearElasticity-2021.pdf"
  }

• Richard Tran Mills, Mark F. Adams, Satish Balay, Jed Brown, Alp Dener, Matthew Knepley, Scott E. Kruger, Hannah Morgan, Todd Munson, Karl Rupp, Barry F. Smith, Stefano Zampini, Hong Zhang, and Junchao Zhang. Toward performance-portable PETSc for GPU-based exascale systems. Parallel Computing, 108:102831, 2021. arXiv:2011.00715, doi:10.1016/j.parco.2021.102831.
  [BibTeX]

  @article{mills2021ecppetsc,
      author = "Mills, Richard Tran and Adams, Mark F. and Balay, Satish and Brown, Jed and Dener, Alp and Knepley, Matthew and Kruger, Scott E. and Morgan, Hannah and Munson, Todd and Rupp, Karl and Smith, Barry F. and Zampini, Stefano and Zhang, Hong and Zhang, Junchao",
      title = "Toward Performance-Portable {PETSc} for {GPU}-based Exascale Systems",
      journal = "Parallel Computing",
      volume = "108",
      pages = "102831",
      year = "2021",
      doi = "10.1016/j.parco.2021.102831",
      archivePrefix = "arXiv",
      eprint = "2011.00715",
      primaryClass = "cs.MS"
  }

2020

• Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari*, Tzanio Kolev, David Medina, Thilina Rathnayake, Jeremy L Thompson*, and Stanimire Tomov. Libceed user manual. September 2020. doi:10.5281/zenodo.4302737.
  [BibTeX]

  @misc{abdelfattah_ahmad_2020_4302737,
      author = "Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Dobrev, Veselin and Dudouit, Yohann and Ghaffari*, Leila and Kolev, Tzanio and Medina, David and Rathnayake, Thilina and Thompson*, Jeremy L and Tomov, Stanimire",
      title = "libCEED User Manual",
      month = "September",
      year = "2020",
      publisher = "Zenodo",
      version = "0.7",
      doi = "10.5281/zenodo.4302737"
  }

• Paul Fischer, Misun Min, Thilina Rathnayake, Som Dutta, Tzanio Kolev, Veselin Dobrev, Jean-Sylvain Camier, Martin Kronbichler, Tim Warburton, Kasia Świrydowicz, and Jed Brown. Scalability of high-performance PDE solvers. International Journal of High Performance Computing Applications, 34:562–586, 2020. arXiv:2004.06722, doi:10.1177/1094342020915762.
  [BibTeX]

  @article{fischer2020scalability,
      author = "Fischer, Paul and Min, Misun and Rathnayake, Thilina and Dutta, Som and Kolev, Tzanio and Dobrev, Veselin and Camier, Jean-Sylvain and Kronbichler, Martin and Warburton, Tim and Świrydowicz, Kasia and Brown, Jed",
      title = "Scalability of High-Performance {PDE} Solvers",
      journal = "International Journal of High Performance Computing Applications",
      publisher = "SAGE Publications",
      year = "2020",
      volume = "34",
      issue = "5",
      pages = "562--586",
      doi = "10.1177/1094342020915762",
      archivePrefix = "arXiv",
      eprint = "2004.06722"
  }

• Tzanio Kolev, Paul Fischer, Ahmad Abdelfattah, Shreyas Ananthan, Valeria Barra*, Natalie Beams, Ryan Bleile, Jed Brown, Robert Carson, Jean-Sylvain Camier, Matthew Churchfield, Veselin Dobrev, Jack Dongarra, Yohann Dudouit, Ali Karakus, Stefan Kerkemeier, YuHsiang Lan, David Medina, Elia Merzari, Misun Min, Scott Parker, Thilina Ratnayaka, Cameron Smith, Michael Sprague, Thomas Stitt, Jeremy Thompson*, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, Arturo Vargas, Tim Warburton, and Kenneth Weiss. CEED ECP Milestone Report: Improve performance and capabilities of CEED-enabled ECP applications on Summit/Sierra. May 2020. doi:10.5281/zenodo.3860804.
  [BibTeX]

  @misc{kolev_tzanio_2020_3860804,
      author = "Kolev, Tzanio and Fischer, Paul and Abdelfattah, Ahmad and Ananthan, Shreyas and Barra*, Valeria and Beams, Natalie and Bleile, Ryan and Brown, Jed and Carson, Robert and Camier, Jean-Sylvain and Churchfield, Matthew and Dobrev, Veselin and Dongarra, Jack and Dudouit, Yohann and Karakus, Ali and Kerkemeier, Stefan and Lan, YuHsiang and Medina, David and Merzari, Elia and Min, Misun and Parker, Scott and Ratnayaka, Thilina and Smith, Cameron and Sprague, Michael and Stitt, Thomas and Thompson*, Jeremy and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Vargas, Arturo and Warburton, Tim and Weiss, Kenneth",
      title = "{CEED ECP Milestone Report: Improve performance and capabilities of CEED-enabled ECP applications on Summit/Sierra}",
      month = "May",
      year = "2020",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.3860804"
  }

• Tzanio Kolev, Paul Fischer, Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Noel Chalmers, Veselin Dobrev, Stefan Kerkemeier, Yu-Hsiang Lan, Elia Merzari, Misun Min, Malachi Phillips, Thilina Ratnayaka, Kris Rowe, Jeremy Thompson*, Ananias Tomboulides, Stanimire Tomov, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Support CEED-enabled ECP applications in their preparation for Aurora/Frontier. September 2020. doi:10.5281/zenodo.4146401.
  [BibTeX]

  @misc{kolev_tzanio_2020_4146401,
      author = "Kolev, Tzanio and Fischer, Paul and Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Chalmers, Noel and Dobrev, Veselin and Kerkemeier, Stefan and Lan, Yu-Hsiang and Merzari, Elia and Min, Misun and Phillips, Malachi and Ratnayaka, Thilina and Rowe, Kris and Thompson*, Jeremy and Tomboulides, Ananias and Tomov, Stanimire and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Support CEED-enabled ECP applications in their preparation for Aurora/Frontier}",
      month = "September",
      year = "2020",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.4146401"
  }

• Tristan Konolige* and Jed Brown. Multigrid for bundle adjustment. 2020. arXiv:2007.01941.
  [BibTeX]

  @misc{konolige2020multigrid,
      author = "Konolige*, Tristan and Brown, Jed",
      title = "Multigrid for Bundle Adjustment",
      year = "2020",
      eprint = "2007.01941",
      archivePrefix = "arXiv",
      primaryClass = "cs.CV"
  }

• Michael McCabe* and Jed Brown. Using differentiable physics for self-supervised assimilation of chaotic dynamical systems. In Workshop on Differentiable Vision, Graphics, and Physics in Machine Learning at NeurIPS 2020. 2020. URL: https://montrealrobotics.ca/diffcvgp/assets/papers/16.pdf.
  [BibTeX]

  @inproceedings{mccabe2020assimilation,
      author = "McCabe*, Michael and Brown, Jed",
      title = "Using Differentiable Physics for Self-Supervised Assimilation of Chaotic Dynamical Systems",
      booktitle = "Workshop on Differentiable Vision, Graphics, and Physics in Machine Learning at NeurIPS 2020",
      url = "https://montrealrobotics.ca/diffcvgp/assets/papers/16.pdf",
      year = "2020"
  }

• Arash Mehraban*, Jed Brown, Valeria Barra*, Henry Tufo, Jeremy Thompson*, and Richard Regueiro. Efficient Residual and Matrix-Free Jacobian Evaluation for Three-Dimensional Tri-Quadratic Hexahedral Finite Elements With Nearly-Incompressible Neo-Hookean Hyperelasticity Applied to Soft Materials on Unstructured Meshes in Parallel, With PETSc and libCEED. In ASME International Mechanical Engineering Congress and Exposition, volume Volume 12: Mechanics of Solids, Structures, and Fluids. 11 2020. V012T12A027. doi:10.1115/IMECE2020-24522.
  [BibTeX]

  @inproceedings{mehraban2020neohookean,
      author = "Mehraban*, Arash and Brown, Jed and Barra*, Valeria and Tufo, Henry and Thompson*, Jeremy and Regueiro, Richard",
      title = "{Efficient Residual and Matrix-Free Jacobian Evaluation for Three-Dimensional Tri-Quadratic Hexahedral Finite Elements With Nearly-Incompressible Neo-Hookean Hyperelasticity Applied to Soft Materials on Unstructured Meshes in Parallel, With PETSc and libCEED}",
      volume = "Volume 12: Mechanics of Solids, Structures, and Fluids",
      booktitle = "ASME International Mechanical Engineering Congress and Exposition",
      year = "2020",
      month = "11",
      doi = "10.1115/IMECE2020-24522",
      note = "V012T12A027"
  }

• Valeria Barra*, Jed Brown, Jeremy Thompson*, and Yohann Dudouit. High-performance operator evaluations with ease of use: libCEED's Python interface. In Meghann Agarwal, Chris Calloway, Dillon Niederhut, and David Shupe, editors, Proceedings of the 19th Python in Science Conference, 85 – 90. 2020. doi:10.25080/Majora-342d178e-00c.
  [BibTeX]

  @InProceedings{libceed-paper-proc-scipy-2020,
      author = "{V}aleria {B}arra* and {J}ed {B}rown and {J}eremy {T}hompson* and {Y}ohann {D}udouit",
      editor = "{M}eghann {A}garwal and {C}hris {C}alloway and {D}illon {N}iederhut and {D}avid {S}hupe",
      title = "{H}igh-performance operator evaluations with ease of use: lib{C}{E}{E}{D}'s {P}ython interface",
      booktitle = "{P}roceedings of the 19th {P}ython in {S}cience {C}onference",
      pages = "85 - 90",
      year = "2020",
      doi = "10.25080/Majora-342d178e-00c"
  }

2019

• Lorena Barba, Juanjo Bazán, Jed Brown, Roman V Guimera, Melissa Gymrek, Alex Hanna, Lindsey J Heagy, Kathryn D Huff, Daniel S Katz, Christopher R Madan, and et al. Giving software its due through community-driven review and publication. April 2019. URL: osf.io/f4vx6, doi:10.31219/osf.io/f4vx6.
  [BibTeX]

  @misc{barba2019softwaredue,
      author = "Barba, Lorena and Bazán, Juanjo and Brown, Jed and Guimera, Roman V and Gymrek, Melissa and Hanna, Alex and Heagy, Lindsey J and Huff, Kathryn D and Katz, Daniel S and Madan, Christopher R and et al.",
      title = "Giving software its due through community-driven review and publication",
      url = "osf.io/f4vx6",
      publisher = "OSF Preprints",
      year = "2019",
      month = "April",
      doi = "10.31219/osf.io/f4vx6"
  }

• Lorena A. Barba, Lecia J. Barker, Douglas S. Blank, Jed Brown, Allen B. Downey, Timothy George, Lindsey J. Heagy, Kyle T. Mandli, Jason K. Moore, David Lippert, Kyle E. Niemeyer, Ryan R. Watkins, Richard H. West, Elizabeth Wickes, Carol Willing, and Michael Zingale. Teaching and Learning with Jupyter. GitHub, 2019. URL: https://jupyter4edu.github.io/jupyter-edu-book/.
  [BibTeX]

  @book{jupyter4edu,
      author = "Barba, Lorena A. and Barker, Lecia J. and Blank, Douglas S. and Brown, Jed and Downey, Allen B. and George, Timothy and Heagy, Lindsey J. and Mandli, Kyle T. and Moore, Jason K. and Lippert, David and Niemeyer, Kyle E. and Watkins, Ryan R. and West, Richard H. and Wickes, Elizabeth and Willing, Carol and Zingale, Michael",
      title = "Teaching and Learning with Jupyter",
      year = "2019",
      publisher = "GitHub",
      url = "https://jupyter4edu.github.io/jupyter-edu-book/"
  }

• Jed Brown, Ahmad Abdelfattah, Valeria Barra*, Veselin Dobrev, Yohann Dudouit, Paul Fischer, Tzanio Kolev, David Medina, Misun Min, Thilina Ratnayaka, Cameron Smith, Jeremy Thompson*, Stanimire Tomov, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Public release of CEED 2.0. March 2019. doi:10.5281/zenodo.2641316.
  [BibTeX]

  @misc{brown_jed_2019_2641316,
      author = "Brown, Jed and Abdelfattah, Ahmad and Barra*, Valeria and Dobrev, Veselin and Dudouit, Yohann and Fischer, Paul and Kolev, Tzanio and Medina, David and Min, Misun and Ratnayaka, Thilina and Smith, Cameron and Thompson*, Jeremy and Tomov, Stanimire and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Public release of CEED 2.0}",
      month = "March",
      year = "2019",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.2641316"
  }

• Jed Brown, Yunhui He, and Scott MacLachlan. Local Fourier analysis of balancing domain decomposition by constraints algorithms. SIAM Journal on Scientific Computing, 41:S346–S369, 2019. arXiv:2108.01841, doi:10.1137/18M1191373.
  [ PDF ] [BibTeX]

  @article{brown2019lfabddc,
      author = "Brown, Jed and He, Yunhui and MacLachlan, Scott",
      title = "Local {F}ourier analysis of Balancing Domain Decomposition by Constraints Algorithms",
      journal = "SIAM Journal on Scientific Computing",
      volume = "41",
      issue = "5",
      pages = "S346--S369",
      publisher = "SIAM",
      year = "2019",
      doi = "10.1137/18M1191373",
      archivePrefix = "arXiv",
      eprint = "2108.01841",
      pdf = "https://jedbrown.org/files/BrownHeMacLachlan-LocalFourierAnalysisOfBDDCAlgorithms-2019.pdf"
  }

• Jean-Sylvain Camier, Paul Fischer, Ali Karakus, Stefan Kerkemeier, Tzanio Kolev, Yu-Hsiang Lan, David Medina, Elia Merzari, Misun Min, Aleks Obabko, Thilina Ratnayaka, Dillon Shaver, Ananias Tomboulides, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Engage second wave ECP/CEED applications. March 2019. doi:10.5281/zenodo.2542359.
  [BibTeX]

  @misc{camier_jean_sylvain_2019_2542359,
      author = "Camier, Jean-Sylvain and Fischer, Paul and Karakus, Ali and Kerkemeier, Stefan and Kolev, Tzanio and Lan, Yu-Hsiang and Medina, David and Merzari, Elia and Min, Misun and Obabko, Aleks and Ratnayaka, Thilina and Shaver, Dillon and Tomboulides, Ananias and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Engage second wave ECP/CEED applications}",
      month = "March",
      year = "2019",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.2542359"
  }

• Mark Shephard, Valeria Barra*, Jed Brown, Jean-Sylvain Camier, Yohan Dudouit, Paul Fischer, Tzanio Kolev, David Medina, Misun Min, Cameron Smith, Morteza H. Siboni, Jeremy Thompson*, and Tim Warburton. CEED ECP Milestone Report: Improved Support for Parallel Adaptive Simulation in CEED. July 2019. doi:10.5281/zenodo.3336420.
  [BibTeX]

  @misc{shephard_mark_2019_3336420,
      author = "Shephard, Mark and Barra*, Valeria and Brown, Jed and Camier, Jean-Sylvain and Dudouit, Yohan and Fischer, Paul and Kolev, Tzanio and Medina, David and Min, Misun and Smith, Cameron and Siboni, Morteza H. and Thompson*, Jeremy and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Improved Support for Parallel Adaptive Simulation in CEED}",
      month = "July",
      year = "2019",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.3336420"
  }

• Stanimire Tomov, Ahmad Abdelfattah, Valeria Barra*, Natalie Beams, Jed Brown, Jean-Sylvain Camier, Veselin Dobrev, Jack Dongarra, Yohann Dudouit, Paul Fischer, Ali Karakus, Stefan Kerkemeier, Tzanio Kolev, YuHsiang Lan, Elia Merzari, Misun Min, Aleks Obabko, Scott Parker, Thilina Ratnayaka, Jeremy Thompson*, Ananias Tomboulides, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Performance tuning of CEED software and 1st and 2nd wave apps. October 2019. doi:10.5281/zenodo.3477618.
  [BibTeX]

  @misc{tomov_stanimire_2019_3477618,
      author = "Tomov, Stanimire and Abdelfattah, Ahmad and Barra*, Valeria and Beams, Natalie and Brown, Jed and Camier, Jean-Sylvain and Dobrev, Veselin and Dongarra, Jack and Dudouit, Yohann and Fischer, Paul and Karakus, Ali and Kerkemeier, Stefan and Kolev, Tzanio and Lan, YuHsiang and Merzari, Elia and Min, Misun and Obabko, Aleks and Parker, Scott and Ratnayaka, Thilina and Thompson*, Jeremy and Tomboulides, Ananias and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Performance tuning of CEED software and 1st and 2nd wave apps}",
      month = "October",
      year = "2019",
      publisher = "Zenodo",
      doi = "10.5281/zenodo.3477618"
  }

2018

• Shrirang Abhyankar, Jed Brown, Emil M. Constantinescu, Debojyoti Ghosh, Barry F. Smith, and Hong Zhang. Petsc/ts: a modern scalable ode/dae solver library. 2018. arXiv:1806.01437.
  [BibTeX]

  @misc{abhyankar2018petscts,
      author = "Abhyankar, Shrirang and Brown, Jed and Constantinescu, Emil M. and Ghosh, Debojyoti and Smith, Barry F. and Zhang, Hong",
      title = "PETSc/TS: A Modern Scalable ODE/DAE Solver Library",
      year = "2018",
      eprint = "1806.01437",
      archivePrefix = "arXiv",
      primaryClass = "math.NA"
  }

• Katherine Barnhart, Thorsten Becker, Mark Behn, Jed Brown, Eunseo Choi, Catherine Cooper, Juliane Dannberg, Nicole Gasparini, Rene Gassmoeller, Lorraine Hwang, Boris Kaus, Louise Kellogg, Luc Lavier, Eric Mittelstaedt, Louis Moresi, Adina Pusok, Greg Tucker, Phaedra Upton, and Pedro Va. CTSP: coupling of tectonic and surface processes. Technical Report, University of Colorado, 2018.
  [ PDF ] [BibTeX]

  @techreport{barnhart2018ctsp,
      author = "Barnhart, Katherine and Becker, Thorsten and Behn, Mark and Brown, Jed and Choi, Eunseo and Cooper, Catherine and Dannberg, Juliane and Gasparini, Nicole and Gassmoeller, Rene and Hwang, Lorraine and Kaus, Boris and Kellogg, Louise and Lavier, Luc and Mittelstaedt, Eric and Moresi, Louis and Pusok, Adina and Tucker, Greg and Upton, Phaedra and Va, Pedro",
      title = "{CTSP}: Coupling of Tectonic and Surface Processes",
      subtitle = "Whitepaper Reporting Outcomes from NSF-Sponsored Workshop",
      institution = "University of Colorado",
      year = "2018",
      pdf = "https://jedbrown.org/files/CTSP-Report-2018.pdf"
  }

• Jed Brown, Ahmad Abdelfata, Jean-Sylvain Camier, Veselin Dobrev, Jack Dongarra, Paul Fischer, Aaron Fisher, Yohann Dudouit, Azzam Haidar, Kazem Kamran, Tzanio Kalev, Misun Min, Thilina Ratnayaka, Mark Shephard, Cameron Smith, Stanimire Tomov, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Public release of CEED 1.0. March 2018. doi:10.5281/zenodo.2542343.
  [BibTeX]

  @misc{brown_jed_2018_2542343,
      author = "Brown, Jed and Abdelfata, Ahmad and Camier, Jean-Sylvain and Dobrev, Veselin and Dongarra, Jack and Fischer, Paul and Fisher, Aaron and Dudouit, Yohann and Haidar, Azzam and Kamran, Kazem and Kalev, Tzanio and Min, Misun and Ratnayaka, Thilina and Shephard, Mark and Smith, Cameron and Tomov, Stanimire and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Public release of CEED 1.0}",
      month = "March",
      year = "2018",
      doi = "10.5281/zenodo.2542343"
  }

• Jed Brown, Veselin Dobrev, Som Dutta, Paul Fischer, Kazem Kamran, Tzanio Kolev, David Medina, Misun' Min, Thilina Ratnayaka, Mark Shephard, Cameron Smith, and Jeremy Thompson*. CEED ECP Milestone Report: Propose high-order mesh/data format. June 2018. doi:10.5281/zenodo.2542346.
  [BibTeX]

  @misc{brown_jed_2018_2542346,
      author = "Brown, Jed and Dobrev, Veselin and Dutta, Som and Fischer, Paul and Kamran, Kazem and Kolev, Tzanio and Medina, David and Min, Misun' and Ratnayaka, Thilina and Shephard, Mark and Smith, Cameron and Thompson*, Jeremy",
      title = "{CEED ECP Milestone Report: Propose high-order mesh/data format}",
      month = "June",
      year = "2018",
      doi = "10.5281/zenodo.2542346"
  }

• Dmitry Duplyakin*, Jed Brown, and Donna Calhoun. Evaluating active learning with cost and memory awareness. In 2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 214–223. IEEE, 2018. Acceptance Rate 24.4doi:10.1109/IPDPS.2018.00031.
  [ PDF ] [BibTeX]

  @inproceedings{duplyakin2018memory,
      author = "Duplyakin*, Dmitry and Brown, Jed and Calhoun, Donna",
      title = "Evaluating Active Learning with Cost and Memory Awareness",
      booktitle = "2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS)",
      doi = "10.1109/IPDPS.2018.00031",
      pages = "214--223",
      year = "2018",
      organization = "IEEE",
      note = "Acceptance Rate 24.4\\%",
      pdf = "https://jedbrown.org/files/DuplyakinBrownCalhoun-ActiveLearningCostMemoryAware-2018.pdf"
  }

• Tristan Konolige* and Jed Brown. A parallel solver for graph Laplacians. In Proceedings of the Platform for Advanced Scientific Computing (PASC). 2018. Best Paper Award (25arXiv:1705.06266, doi:10.1145/3218176.3218227.
  [ PDF ] [BibTeX]

  @inproceedings{konolige2018parallel,
      author = "Konolige*, Tristan and Brown, Jed",
      title = "A Parallel Solver for Graph {L}aplacians",
      booktitle = "Proceedings of the Platform for Advanced Scientific Computing (PASC)",
      doi = "10.1145/3218176.3218227",
      note = "Best Paper Award (25\\%)",
      archivePrefix = "arXiv",
      eprint = "1705.06266",
      year = "2018",
      pdf = "https://arxiv.org/pdf/1705.06266.pdf"
  }

• Stanimire Tomov, Pedro Bello-Maldonado, Jed Brown, Jean-Sylvain Camier, Veselin Dobrev, Jack Dongarr, Paul Fischer, Azzam Haidar, Tzanio Kolev, Elia Merzari, Misun Min, Aleks Obabko, Scott Parker, Thilina Ratnayaka, Jeremy Thompson*, Ahmad Abdelfattah, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Performance tuning of CEED software and first wave apps. September 2018. doi:10.5281/zenodo.2542350.
  [BibTeX]

  @misc{tomov_stanimire_2018_2542350,
      author = "Tomov, Stanimire and Bello-Maldonado, Pedro and Brown, Jed and Camier, Jean-Sylvain and Dobrev, Veselin and Dongarr, Jack and Fischer, Paul and Haidar, Azzam and Kolev, Tzanio and Merzari, Elia and Min, Misun and Obabko, Aleks and Parker, Scott and Ratnayaka, Thilina and Thompson*, Jeremy and Abdelfattah, Ahmad and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Performance tuning of CEED software and first wave apps}",
      month = "September",
      year = "2018",
      doi = "10.5281/zenodo.2542350"
  }

• Samuel Williams, Mark F. Adams, and Jed Brown. High-performance geometric multigrid: An HPC performance benchmark. SIAM News, 2018. URL: https://sinews.siam.org/Details-Page/the-high-performance-geometric-multigrid-an-hpc-performance-benchmark.
  [BibTeX]

  @article{williams2018hpgmg,
      author = "Williams, Samuel and Adams, Mark F. and Brown, Jed",
      title = "High-Performance Geometric Multigrid: {A}n {HPC} Performance Benchmark",
      journal = "SIAM News",
      volume = "51",
      number = "3",
      year = "2018",
      url = "https://sinews.siam.org/Details-Page/the-high-performance-geometric-multigrid-an-hpc-performance-benchmark"
  }

2017

• Mark F Adams, Eero Hirvijoki, Matthew G Knepley, Jed Brown, Tobin Isaac, and Richard Mills. Landau collision integral solver with adaptive mesh refinement on emerging architectures. SIAM Journal on Scientific Computing, 39(6):C452–C465, 2017. arXiv:1702.08880, doi:10.1137/17M1118828.
  [ PDF ] [BibTeX]

  @article{AdamsHirvijokiKnepleyBrownIsaacMills2017,
      author = "Adams, Mark F and Hirvijoki, Eero and Knepley, Matthew G and Brown, Jed and Isaac, Tobin and Mills, Richard",
      title = "Landau Collision Integral Solver with Adaptive Mesh Refinement on Emerging Architectures",
      journal = "SIAM Journal on Scientific Computing",
      volume = "39",
      number = "6",
      pages = "C452--C465",
      year = "2017",
      publisher = "SIAM",
      doi = "10.1137/17M1118828",
      archivePrefix = "arXiv",
      eprint = "1702.08880",
      pdf = "https://jedbrown.org/files/AdamsHirvijokiKnepleyBrownIsaacMills-LandauCollisionIntegralSolverAMR-2017.pdf"
  }

• Jed Brown, Jean-Sylvain Camier, Veselin Dobrev, Paul Fischer, Tzanio Kolev, Thilina' Ratnayaka, Mark Shephard, Jeremy Thompson*, and Vladimir Tomov. Ceed ecp milestone report: initial ceed api. December 2017. doi:10.5281/zenodo.2542340.
  [BibTeX]

  @misc{brown_jed_2017_2542340,
      author = "Brown, Jed and Camier, Jean-Sylvain and Dobrev, Veselin and Fischer, Paul and Kolev, Tzanio and Ratnayaka, Thilina' and Shephard, Mark and Thompson*, Jeremy and Tomov, Vladimir",
      title = "CEED ECP Milestone Report: Initial CEED API",
      month = "December",
      year = "2017",
      doi = "10.5281/zenodo.2542340"
  }

• Veselin Dobrev, Jack Dongarra, Jed Brown, Paul Fischer, Azzam Haidar, Ian Karlin, Tzanio Kolev, Misun Min, Tim Moon, Thilina Ratnayaka, Stanimire Tomov, and Vladimir Tomov. CEED ECP Milestone Report: Identify initial kernels, bake-off problems (benchmarks) and miniapps. July 2017. doi:10.5281/zenodo.2542333.
  [BibTeX]

  @misc{dobrev_veselin_2017_2542333,
      author = "Dobrev, Veselin and Dongarra, Jack and Brown, Jed and Fischer, Paul and Haidar, Azzam and Karlin, Ian and Kolev, Tzanio and Min, Misun and Moon, Tim and Ratnayaka, Thilina and Tomov, Stanimire and Tomov, Vladimir",
      title = "{CEED ECP Milestone Report: Identify initial kernels, bake-off problems (benchmarks) and miniapps}",
      month = "July",
      year = "2017",
      doi = "10.5281/zenodo.2542333"
  }

• Kenneth E. Jansen, Michel Rasquin, Jed Brown, Cameron Smith, Mark S. Shephard, and Chris Carothers. Exascale Scientific Applications, chapter Extreme scale unstructured adaptive CFD for aerodynamic flow control. Chapman and Hall/CRC Press, 2017. doi:10.1201/b21930-15.
  [BibTeX]

  @inbook{jansen2017flowcontrol,
      author = "Jansen, Kenneth E. and Rasquin, Michel and Brown, Jed and Smith, Cameron and Shephard, Mark S. and Carothers, Chris",
      title = "Exascale Scientific Applications",
      chapter = "Extreme scale unstructured adaptive {CFD} for aerodynamic flow control",
      bookeditor = "Straatsma, Tjerk P. and Antypas, Katerina B. and Willioms, Timothy J.",
      publisher = "Chapman and Hall/CRC Press",
      abstract = "Understanding the flow of fluid, either liquid or gas, through and around solid bodies has challenged man since the dawn of scientific inquiry. Many of the great minds of science and mathematics have progressively built up a hierarchy of fluid models since fluid flow impacts our lives in so many fundamental ways - from the early days of flow of water in viaducts to cities, to today's flight of planes. This chapter is concerned with the computational modeling of turbulent flow around aerodynamic bodies such as planes and wind turbines. In this case, viscous effects near the solid bodies create very thin boundary layers that yield highly anisotropic (gradients normal to the surface may be 106 larger than gradients along the surface) solutions to the governing non-linear partial differential equations (PDE); the Navier-Stokes equations. Furthermore, turbulent flows develop extremely broad ranges of length and time scales motivating the use of discretization methods capable of employing adaptivity and implicit time integration. The combination of these features - non-linear, anisotropy, adaptivity, and implicit - dramatically raise the complexity of the discretization, posing large challenges to efficient scalable parallel implementation. However, through careful design, the more complex algorithms can provide great reductions in computational cost relative to simpler methods (e.g., Cartesian grids with explicit time integration) that are easier to mate efficiently to hardware. In this chapter, we not only describe our approach but we also address the fact that while complex algorithms may never be as efficient flop-for-flop as simple methods, in the important measure of science-per-core-hour, they can still win big by making complex features like adaptivity and implicit methods as efficient and scalable as possible.",
      doi = "10.1201/b21930-15",
      year = "2017"
  }

• Misun Min, Jed Brown, Veselin Dobrev, Paul Fischer, Tzanio Kolev, David Medina, Elia Merzari, Aleks Obabko, Scott Parker, Ron Rahaman, Stanimire Tomov, Vladimir Tomov, and Tim Warburton. CEED ECP Milestone Report: Initial Integration of CEED Software in ECP Applications. October 2017. doi:10.5281/zenodo.2542338.
  [BibTeX]

  @misc{min_misun_2017_2542338,
      author = "Min, Misun and Brown, Jed and Dobrev, Veselin and Fischer, Paul and Kolev, Tzanio and Medina, David and Merzari, Elia and Obabko, Aleks and Parker, Scott and Rahaman, Ron and Tomov, Stanimire and Tomov, Vladimir and Warburton, Tim",
      title = "{CEED ECP Milestone Report: Initial Integration of CEED Software in ECP Applications}",
      month = "October",
      year = "2017",
      doi = "10.5281/zenodo.2542338"
  }

2016

• Mark F. Adams, Jed Brown, Matthew G. Knepley, and Ravi Samtaney. Segmental refinement: a multigrid technique for data locality. SIAM Journal on Scientific Computing, 38(4):C426–C440, 2016. arXiv:1406.7808, doi:10.1137/140975127.
  [BibTeX]

  @article{AdamsBrownKnepleySamtaney2016,
      author = "Adams, Mark F. and Brown, Jed and Knepley, Matthew G. and Samtaney, Ravi",
      title = "Segmental Refinement: A Multigrid Technique for Data Locality",
      journal = "SIAM Journal on Scientific Computing",
      archivePrefix = "arXiv",
      eprint = "1406.7808",
      volume = "38",
      number = "4",
      pages = "C426--C440",
      doi = "10.1137/140975127",
      year = "2016"
  }

• Satish Balay, Jed Brown, Matthew G. Knepley, Lois McInnes, and Barry Smith. Software Engineering for Science, chapter Providing Mixed Language and Legacy Support within a Library, pages 201–215. Taylor & Francis, 2016. doi:10.1201/9781315368924.
  [ PDF ] [BibTeX]

  @inbook{BalayBrownKnepleyMcInnesSmith2015,
      author = "Balay, Satish and Brown, Jed and Knepley, Matthew G. and McInnes, Lois and Smith, Barry",
      bookeditor = "Carver, Jeffrey C. and Chue Hong, Neil P. and Thiruvathukal, George K.",
      title = "Software Engineering for Science",
      chapter = "Providing Mixed Language and Legacy Support within a Library",
      publisher = "Taylor \\& Francis",
      year = "2016",
      pages = "201--215",
      pdf = "https://jedbrown.org/files/BalayBrownKnepleyMcInnerSmith-ProvidingMixedLanguageLegacySupportLibraryPETSc-2016.pdf",
      doi = "10.1201/9781315368924"
  }

• Jed Brown. Higher standards on the control of numerical accuracy. 2016. Whitepaper accepted to the DOE Advancing X-cutting Ideas for Computational Climate Science (AXICCS).
  [ PDF ] [BibTeX]

  @misc{brown2016standards,
      author = "Brown, Jed",
      title = "Higher Standards on the Control of Numerical Accuracy",
      pdf = "https://jedbrown.org/files/Brown-HigherStandardsNumericalAccuracy-2015.pdf",
      note = "Whitepaper accepted to the DOE Advancing X-cutting Ideas for Computational Climate Science (AXICCS)",
      year = "2016"
  }

• Dmitry Duplyakin*, Jed Brown, and Robert Ricci. Active learning in performance analysis. In Proceedings of the IEEE Cluster Conference. September 2016. Acceptance Rate 24.1URL: http://www.flux.utah.edu/paper/duplyakin-cluster16, doi:10.1109/CLUSTER.2016.63.
  [ PDF ] [BibTeX]

  @InProceedings{duplyakin2016active,
      author = "Duplyakin*, Dmitry and Brown, Jed and Ricci, Robert",
      title = "Active Learning in Performance Analysis",
      booktitle = "Proceedings of the IEEE Cluster Conference",
      doi = "10.1109/CLUSTER.2016.63",
      year = "2016",
      month = "September",
      url = "http://www.flux.utah.edu/paper/duplyakin-cluster16",
      note = "Acceptance Rate 24.1\\%",
      pdf = "https://jedbrown.org/files/DuplyakinBrownRicci-ActiveLearningPerformanceAnalysis-2016.pdf"
  }

• M. Knepley, D. A. May, J. Brown, and B. Smith. Extensibility in PETSc. SIAM News, 2016. URL: https://sinews.siam.org/Details-Page/extensibility-in-petsc.
  [BibTeX]

  @article{petsc-extensibility2016,
      author = "Knepley, M. and May, D. A. and Brown, J. and Smith, B.",
      title = "Extensibility in {PETSc}",
      journal = "SIAM News",
      volume = "49",
      number = "9",
      year = "2016",
      url = "https://sinews.siam.org/Details-Page/extensibility-in-petsc"
  }

2015

• Jed Brown, Matthew G. Knepley, and Barry F. Smith. Run-time extensibility and librarization of simulation software. IEEE Computing in Science and Engineering, 17(1):38–45, 2015. doi:10.1109/MCSE.2014.95.
  [ PDF ] [BibTeX]

  @article{brown2015runtime,
      author = "Brown, Jed and Knepley, Matthew G. and Smith, Barry F.",
      title = "Run-time extensibility and librarization of simulation software",
      journal = "IEEE Computing in Science and Engineering",
      volume = "17",
      number = "1",
      pages = "38--45",
      year = "2015",
      doi = "10.1109/MCSE.2014.95",
      pdf = "https://jedbrown.org/files/BrownKnepleySmith-RuntimeExtensibilityAndLibrarizationOfSimulationSoftware-2014.pdf"
  }

• Eric C Cyr, Eric Phipps, Michael A Heroux, Jed Brown, Ethan T Coon, Mark Hoemmen, Robert C Kirby, Tzanio V Kolev, James C Sutherland, and Christian R Trott. Algorithms and abstractions for assembly in PDE codes: workshop report. Technical Report SAND2015-1379, Sandia National Laboratory, 2015. doi:10.2172/1504610.
  [ PDF ] [BibTeX]

  @techreport{cyr2015assembly,
      author = "Cyr, Eric C and Phipps, Eric and Heroux, Michael A and Brown, Jed and Coon, Ethan T and Hoemmen, Mark and Kirby, Robert C and Kolev, Tzanio V and Sutherland, James C and Trott, Christian R",
      title = "Algorithms and Abstractions for Assembly in {PDE} Codes: Workshop Report",
      number = "SAND2015-1379",
      institution = "Sandia National Laboratory",
      year = "2015",
      pdf = "https://www.osti.gov/servlets/purl/1504610",
      doi = "10.2172/1504610"
  }

• Debojyoti Ghosh, Emil M. Constantinescu, and Jed Brown. Efficient implementation of nonlinear compact schemes on massively parallel platforms. SIAM Journal on Scientific Computing, 37(3):C354–C383, 2015. Also preprint ANL/MCS-P5121-0414. doi:10.1137/140989261.
  [ PDF ] [BibTeX]

  @article{ghosh2015efficient,
      author = "Ghosh, Debojyoti and Constantinescu, Emil M. and Brown, Jed",
      title = "Efficient Implementation of Nonlinear Compact Schemes on Massively Parallel Platforms",
      journal = "SIAM Journal on Scientific Computing",
      volume = "37",
      number = "3",
      pages = "C354--C383",
      doi = "10.1137/140989261",
      note = "Also preprint ANL/MCS-P5121-0414",
      pdf = "http://www.mcs.anl.gov/\textasciitilde emconsta/Repository/Papers/Ghosh\_S2014a-preprint.pdf",
      year = "2015"
  }

• Matthew G. Knepley, Jed Brown, Lois Curfman McInnes, Barry Smith, Karl Rupp, and Mark Adams. Exascale computing without threads. 2015. Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on Scientific Software Architecture for Portability and Performance.
  [ PDF ] [BibTeX]

  @misc{KnepleyBrownMcInnesSmithRuppAdams2015,
      author = "Knepley, Matthew G. and Brown, Jed and McInnes, Lois Curfman and Smith, Barry and Rupp, Karl and Adams, Mark",
      title = "Exascale Computing without Threads",
      pdf = "http://www.orau.gov/hpcor2015/whitepapers/Exascale\_Computing\_without\_Threads-Barry\_Smith.pdf",
      note = "Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on Scientific Software Architecture for Portability and Performance",
      year = "2015"
  }

• Matthew G. Knepley, Jed Brown, Lois Curfman McInnes, Barry Smith, Karl Rupp, and Mark Adams. Overview of the PETSc library. 2015. Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on Scientific Software Architecture for Portability and Performance.
  [ PDF ] [BibTeX]

  @misc{KnepleyBrownMcInnesSmithRuppAdams2015b,
      author = "Knepley, Matthew G. and Brown, Jed and McInnes, Lois Curfman and Smith, Barry and Rupp, Karl and Adams, Mark",
      title = "Overview of the {PETSc} Library",
      pdf = "http://www.orau.gov/hpcor2015/whitepapers/Overview\_of\_the\_PETSc\_Library-Lois\_McInnes.pdf",
      note = "Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on Scientific Software Architecture for Portability and Performance",
      year = "2015"
  }

• David A. May, Jed Brown, and Laetitia Le Pourhiet. A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow. Computer Methods in Applied Mechanics and Engineering, 290(0):496–523, 2015. doi:10.1016/j.cma.2015.03.014.
  [ PDF ] [BibTeX]

  @article{may2015scalable,
      author = "May, David A. and Brown, Jed and Pourhiet, Laetitia Le",
      title = "A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous {S}tokes flow",
      journal = "Computer Methods in Applied Mechanics and Engineering",
      volume = "290",
      number = "0",
      pages = "496--523",
      year = "2015",
      issn = "0045-7825",
      doi = "10.1016/j.cma.2015.03.014",
      pdf = "https://jedbrown.org/files/MayBrownLePourhiet-ScalableMatrixFreeMultigridPreconditionerFEHeterogeneousStokes-2015.pdf"
  }

• Karl Rupp, Satish Balay, Jed Brown, Matthew G. Knepley, Lois Curfman McInnes, and Barry F. Smith. On the evolution of user support topics in computational science and engineering software. ArXiv e-prints, 2015. Whitepaper for Computational Science & Engineering Software Sustainability and Productivity Challenges. arXiv:1510.01122.
  [BibTeX]

  @article{RuppBalayBrownKnepleyMcInnesSmith2015,
      author = "Rupp, Karl and Balay, Satish and Brown, Jed and Knepley, Matthew G. and McInnes, Lois Curfman and Smith, Barry F.",
      title = "On The Evolution Of User Support Topics in Computational Science and Engineering Software",
      note = "Whitepaper for Computational Science \\& Engineering Software Sustainability and Productivity Challenges",
      journal = "ArXiv e-prints",
      archivePrefix = "arXiv",
      eprint = "1510.01122",
      year = "2015"
  }

2014

• M. F. Adams, J. Brown, J. Shalf, B. Van Straalen, E. Strohmaier, and S. Williams. HPGMG 1.0: a benchmark for ranking high performance computing systems. Technical Report LBNL-6630E, LBNL, Berkeley, 2014. doi:10.2172/1131029.
  [BibTeX]

  @techreport{HPGMGv1,
      author = "Adams, M. F. and Brown, J. and Shalf, J. and Straalen, B. Van and Strohmaier, E. and Williams, S.",
      title = "{HPGMG} 1.0: A Benchmark for Ranking High Performance Computing Systems",
      institution = "LBNL",
      address = "Berkeley",
      year = "2014",
      NUMBER = "LBNL-6630E",
      doi = "10.2172/1131029"
  }

• Debojyoti Ghosh, Emil M. Constantinescu, and Jed Brown. Scalable nonlinear compact schemes. Technical Report ANL/MCS-TM-340, Argonne National Laboratory, 2014.
  [ PDF ] [BibTeX]

  @techreport{ghosh2014scalable,
      author = "Ghosh, Debojyoti and Constantinescu, Emil M. and Brown, Jed",
      title = "Scalable Nonlinear Compact Schemes",
      number = "ANL/MCS-TM-340",
      institution = "Argonne National Laboratory",
      year = "2014",
      abstract = "Solutions to hyperbolic conservation laws are often characterized by a large range of length scales as well as discontinuities. Standard nonlinear finite-difference schemes, such as the WENO schemes, yield non- oscillatory solutions but lack the spectral resolution required to model the relevant length scales. Linear compact schemes have a high spectral resolution; however, they suffer from spurious oscillations across discontinuities and sharp gradients. Weighted nonlinear compact schemes, such as the CRWENO scheme and the hybrid compact-WENO schemes, combine the non-oscillatory nature of the WENO schemes with the high spectral resolution of the compact schemes and are thus ideal for solutions with multiple length scales and discontinuities. One example of an application area is compressible, turbulent flows. The CRWENO scheme and the hybrid compact-WENO schemes have a nonlinear, solution-dependent left-hand side and therefore require the solution of banded systems of equations at each time-integration step or stage. Application of these schemes to multiprocessor simulations requires an efficient, scalable algorithm for the solution to the banded systems. Past efforts at implementing nonlinear compact schemes for parallel simulations suffer from one or more of the following drawbacks: parallelization-induced approximations and errors, complicated and inefficient scheduling of communication and computation, significant increase in the mathematical complexity of the banded systems solver, and high communication overhead. Therefore, these algorithms do not scale well for massively parallel simulations and are inefficient compared with the corresponding standard finite-difference schemes.",
      pdf = "http://www.mcs.anl.gov/papers/ANL/MCS-TM-340.pdf"
  }

• Dave A. May, Jed Brown, and Laetitia Le Pourhiet. pTatin3D: High-performance methods for long-term lithospheric dynamics. In Proceedings of SC14: International Conference for High Performance Computing, Networking, Storage and Analysis. ACM, 2014. Acceptance Rate 21doi:10.1109/SC.2014.28.
  [ PDF ] [BibTeX]

  @inproceedings{may2014ptatin,
      author = "May, Dave A. and Brown, Jed and Pourhiet, Laetitia Le",
      title = "{pTatin3D}: {H}igh-Performance Methods for Long-Term Lithospheric Dynamics",
      booktitle = "Proceedings of SC14: International Conference for High Performance Computing, Networking, Storage and Analysis",
      year = "2014",
      organization = "ACM",
      note = "Acceptance Rate 21\\%",
      pdf = "https://jedbrown.org/files/MayBrownLePourhiet-pTatin3d-2014.pdf",
      doi = "10.1109/SC.2014.28"
  }

2013

• Mark F. Adams, Jed Brown, and Matthew G. Knepley. Low-communication techniques for extreme-scale multilevel solvers. In Exascale Mathematics Workshop, Aug 21–22, Washington, DC. DOE Office of Advanced Scientific Computing Research, 2013.
  [BibTeX]

  @inproceedings{AdamsBrownKnepley2013,
      author = "Adams, Mark F. and Brown, Jed and Knepley, Matthew G.",
      title = "Low-communication techniques for extreme-scale multilevel solvers",
      booktitle = "Exascale Mathematics Workshop, Aug 21--22, Washington, DC",
      organization = "DOE Office of Advanced Scientific Computing Research",
      year = "2013"
  }

• Jennifer Arrigo, Jed Brown, Louise Kellogg, Lorraine Hwang, Scott Peckham, and David Tarboton. EarthCube modeling workshop results. Technical Report, Computational Infrastructure for Geodynamics, 2013. URL: http://geodynamics.org/cig/community/workshops/Earthcube13/ExecSummary.
  [BibTeX]

  @techreport{arrigo2013earthcube,
      author = "Arrigo, Jennifer and Brown, Jed and Kellogg, Louise and Hwang, Lorraine and Peckham, Scott and Tarboton, David",
      title = "{EarthCube} Modeling Workshop Results",
      institution = "Computational Infrastructure for Geodynamics",
      url = "http://geodynamics.org/cig/community/workshops/Earthcube13/ExecSummary",
      year = "2013"
  }

• J. Brown. Scalable repository workflows. 2013. Whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale Science, available via \url http://www.orau.gov/swproductivity2014/papers.htm.
  [ PDF ] [BibTeX]

  @misc{brown2013repo,
      author = "Brown, J.",
      title = "Scalable Repository Workflows",
      note = "Whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}",
      year = "2013",
      pdf = "https://jedbrown.org/files/Brown-ScalableRepositoryWorkflows-2013.pdf"
  }

• Jed Brown. Vectorization, communication aggregation, and reuse in stochastic and temporal dimensions. In Exascale Mathematics Workshop, Aug 21–22, Washington, DC. DOE Office of Advanced Scientific Computing Research, 2013.
  [BibTeX]

  @inproceedings{brown2013dimension,
      author = "Brown, Jed",
      title = "Vectorization, communication aggregation, and reuse in stochastic and temporal dimensions",
      booktitle = "Exascale Mathematics Workshop, Aug 21--22, Washington, DC",
      year = "2013",
      organization = "DOE Office of Advanced Scientific Computing Research"
  }

• Jed Brown and Peter Brune. Low-rank quasi-Newton updates for robust Jacobian lagging in Newton-type methods. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, 2554–2565. 2013.
  [ PDF ] [BibTeX]

  @inproceedings{brown2013quasinewton,
      author = "Brown, Jed and Brune, Peter",
      title = "Low-rank quasi-{N}ewton updates for robust {J}acobian lagging in {N}ewton-type methods",
      year = "2013",
      booktitle = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering",
      pages = "2554--2565",
      pdf = "https://jedbrown.org/files/BrownBrune-LowRankQuasiNewtonRobustJacobianLagging-2013.pdf"
  }

• Jed Brown, Barry F. Smith, and Aron Ahmadia. Achieving textbook multigrid efficiency for hydrostatic ice flow. SIAM Journal on Scientific Computing, 35(2):359–375, 2013. Also preprint ANL/MCS-P743-1298. doi:10.1137/110834512.
  [BibTeX]

  @article{brown2013tmeice,
      author = "Brown, Jed and Smith, Barry F. and Ahmadia, Aron",
      title = "Achieving textbook multigrid efficiency for hydrostatic ice flow",
      journal = "SIAM Journal on Scientific Computing",
      volume = "35",
      number = "2",
      year = "2013",
      pages = "359--375",
      doi = "10.1137/110834512",
      note = "Also preprint ANL/MCS-P743-1298"
  }

• Barry F. Smith Jed Brown, Matthew G. Knepley. Run-time extensibility: anything less is unsustainable. In Workshop towards Sustainable Software for Science: Practice and Experiences (WSSSPE). 2013. doi:10.6084/m9.figshare.791571.
  [BibTeX]

  @inproceedings{brown2013runtime,
      author = "Jed Brown, Matthew G. Knepley, Barry F. Smith",
      title = "Run-time extensibility: anything less is unsustainable",
      booktitle = "Workshop towards Sustainable Software for Science: Practice and Experiences (WSSSPE)",
      doi = "10.6084/m9.figshare.791571",
      year = "2013"
  }

• David E. Keyes, Lois Curfman McInnes, Carol Woodward, William Gropp, Eric Myra, Michael Pernice, John Bell, Jed Brown, Alain Clo, Jeffrey Connors, Emil Constantinescu, Don Estep, Kate Evans, Charbel Farhat, Ammar Hakim, Glenn Hammond, Glen Hansen, Judith Hill, Tobin Isaac, Xiangmin Jiao, Kirk Jordan, Dinesh Kaushik, Efthimios Kaxiras, Alice Koniges, Kihwan Lee, Aaron Lott, Qiming Lu, John Magerlein, Reed Maxwell, Michael McCourt, Miriam Mehl, Roger Pawlowski, Amanda Peters Randles, Daniel Reynolds, Beatrice Rivière, Ulrich Rüde, Tim Scheibe, John Shadid, Brendan Sheehan, Mark Shephard, Andrew Siegel, Barry Smith, Xianzhu Tang, Cian Wilson, and Barbara Wohlmuth. Multiphysics simulations: challenges and opportunities. International Journal of High Performance Computing Applications, 27(1):4–83, February 2013. Special issue. doi:10.1177/1094342012468181.
  [BibTeX]

  @article{KeyesMcInnesWoodwardEtAl13,
      author = {Keyes, David E. and McInnes, Lois Curfman and Woodward, Carol and Gropp, William and Myra, Eric and Pernice, Michael and Bell, John and Brown, Jed and Clo, Alain and Connors, Jeffrey and Constantinescu, Emil and Estep, Don and Evans, Kate and Farhat, Charbel and Hakim, Ammar and Hammond, Glenn and Hansen, Glen and Hill, Judith and Isaac, Tobin and Jiao, Xiangmin and Jordan, Kirk and Kaushik, Dinesh and Kaxiras, Efthimios and Koniges, Alice and Lee, Kihwan and Lott, Aaron and Lu, Qiming and Magerlein, John and Maxwell, Reed and McCourt, Michael and Mehl, Miriam and Pawlowski, Roger and Randles, Amanda Peters and Reynolds, Daniel and Rivi\`{e}re, Beatrice and R\"{u}de, Ulrich and Scheibe, Tim and Shadid, John and Sheehan, Brendan and Shephard, Mark and Siegel, Andrew and Smith, Barry and Tang, Xianzhu and Wilson, Cian and Wohlmuth, Barbara},
      title = "Multiphysics Simulations: Challenges and Opportunities",
      journal = "International Journal of High Performance Computing Applications",
      month = "February",
      year = "2013",
      volume = "27",
      number = "1",
      pages = "4--83",
      doi = "10.1177/1094342012468181",
      note = "Special issue",
      abstract = "We consider multiphysics applications from algorithmic and architectural perspectives, where ``algorithmic'' includes both mathematical analysis and computational complexity and ``architectural'' includes both software and hardware environments. Many diverse multiphysics applications can be reduced, en route to their computational simulation, to a common algebraic coupling paradigm. Mathematical analysis of multiphysics coupling in this form is not always practical for realistic applications, but model problems representative of applications discussed herein can provide insight. A variety of software frameworks for multiphysics applications have been constructed and refined within disciplinary communities and executed on leading-edge computer systems. We examine several of these, expose some commonalities among them, and attempt to extrapolate best practices to future systems. From our study, we summarize challenges and forecast opportunities."
  }

• Matthew G. Knepley, Jed Brown, Lois Curfman McInnes, and Barry F. Smith. Accurately citing software and algorithms used in publications. In Workshop towards Sustainable Software for Science: Practice and Experiences (WSSSPE). 2013. doi:10.6084/m9.figshare.785731.
  [BibTeX]

  @inproceedings{knepley2013citations,
      author = "Knepley, Matthew G. and Brown, Jed and McInnes, Lois Curfman and Smith, Barry F.",
      title = "Accurately Citing Software and Algorithms Used in Publications",
      booktitle = "Workshop towards Sustainable Software for Science: Practice and Experiences (WSSSPE)",
      doi = "10.6084/m9.figshare.785731",
      year = "2013"
  }

• Tareq M. Malas, Aron J. Ahmadia, Jed Brown, John A. Gunnels, and David E. Keyes. Optimizing the performance of streaming numerical kernels on the IBM BlueGene/P PowerPC 450 processor. International Journal of High Performance Computing Applications, 27(2):193–209, 2013. doi:10.1177/1094342012444795.
  [BibTeX]

  @article{malas2012streaming,
      author = "Malas, Tareq M. and Ahmadia, Aron J. and Brown, Jed and Gunnels, John A. and Keyes, David E.",
      title = "Optimizing the Performance of Streaming Numerical Kernels on the {IBM BlueGene/P PowerPC} 450 Processor",
      journal = "International Journal of High Performance Computing Applications",
      volume = "27",
      number = "2",
      pages = "193--209",
      year = "2013",
      publisher = "SAGE Publications",
      doi = "10.1177/1094342012444795"
  }

• M. G. Knepley, J. Brown, K. Rupp, and B. F. Smith. Achieving high performance with unified residual evaluation. ArXiv e-prints, September 2013. arXiv:1309.1204.
  [BibTeX]

  @article{KnepleyBrownRuppSmith13,
      author = "{Knepley}, M. G. and {Brown}, J. and {Rupp}, K. and {Smith}, B. F.",
      title = "Achieving High Performance with Unified Residual Evaluation",
      journal = "ArXiv e-prints",
      eprint = "1309.1204",
      archivePrefix = "arXiv",
      primaryClass = "cs.MS",
      keywords = "Computer Science - Mathematical Software, Computer Science - Computational Engineering, Finance, and Science",
      year = "2013",
      month = "September",
      adsurl = "http://adsabs.harvard.edu/abs/2013arXiv1309.1204K",
      adsnote = "Provided by the SAO/NASA Astrophysics Data System"
  }

2012

• Mark Adams, Jed Brown, and Barry F. Smith. Exascale programming models must vigorously enable libraries. In DOE Exascale Research Conference. 2012.
  [BibTeX]

  @inproceedings{adams2012exascalelibraries,
      author = "Adams, Mark and Brown, Jed and Smith, Barry F.",
      title = "Exascale Programming Models Must Vigorously Enable Libraries",
      booktitle = "DOE Exascale Research Conference",
      year = "2012"
  }

• Mihai Anitescu, Jed Brown, Paul Fischer, Sven Leyffer, Lois Curfman McInnes, Todd Munson, and Barry F. Smith. Exascale co-design opportunities: Multilevel approaches for hierarchical models, architectures, algorithms, and software. In DOE Exascale Research Conference. 2012.
  [BibTeX]

  @inproceedings{anitescu2012exascale,
      author = "Anitescu, Mihai and Brown, Jed and Fischer, Paul and Leyffer, Sven and McInnes, Lois Curfman and Munson, Todd and Smith, Barry F.",
      title = "Exascale Co-design Opportunities: {M}ultilevel Approaches for Hierarchical Models, Architectures, Algorithms, and Software",
      booktitle = "DOE Exascale Research Conference",
      year = "2012"
  }

• Rodney Biezuner, Jed Brown, Grey Ercole, and Eder Martins. Computing the first eigenpair of the $p$-Laplacian via inverse iteration of sublinear supersolutions. Journal of Scientific Computing, 52:180–201, 2012. doi:10.1007/s10915-011-9540-0.
  [BibTeX]

  @article{biezuner2012computing,
      author = "Biezuner, Rodney and Brown, Jed and Ercole, Grey and Martins, Eder",
      affiliation = "Departamento de Matem\'atica—ICEx, Universidade Federal de Minas Gerais, Av. Ant\^onio Carlos 6627, Caixa Postal 702, 30161-970 Belo Horizonte, MG, Brazil",
      title = "Computing the First Eigenpair of the $p$-{L}aplacian via Inverse Iteration of Sublinear Supersolutions",
      journal = "Journal of Scientific Computing",
      publisher = "Springer Netherlands",
      issn = "0885-7474",
      keyword = "Mathematics and Statistics",
      pages = "180--201",
      volume = "52",
      issue = "1",
      year = "2012",
      doi = "10.1007/s10915-011-9540-0"
  }

• Jed Brown. User-defined non-blocking collectives must make progress. IEEE Technical Committee on Scalable Computing, 2012. URL: https://www.ieeetcsc.org/activities/blog/user_defined_nonblocking_collectives_must_make_progress.
  [BibTeX]

  @article{brown2012nonblockingieee,
      author = "Brown, Jed",
      title = "User-Defined Non-Blocking Collectives Must Make Progress",
      journal = "IEEE Technical Committee on Scalable Computing",
      type = "Blog",
      url = "https://www.ieeetcsc.org/activities/blog/user\_defined\_nonblocking\_collectives\_must\_make\_progress",
      year = "2012"
  }

• Jed Brown, Matthew G. Knepley, David A. May, Lois C. McInnes, and Barry F. Smith. Composable linear solvers for multiphysics. In Proceeedings of the 11th International Symposium on Parallel and Distributed Computing (ISPDC 2012), 55–62. IEEE Computer Society, 2012. doi:10.1109/ISPDC.2012.16.
  [BibTeX]

  @inproceedings{bkmms2012,
      author = "Brown, Jed and Knepley, Matthew G. and May, David A. and McInnes, Lois C. and Smith, Barry F.",
      title = "Composable Linear Solvers for Multiphysics",
      booktitle = "Proceeedings of the 11th International Symposium on Parallel and Distributed Computing (ISPDC 2012)",
      year = "2012",
      doi = "10.1109/ISPDC.2012.16",
      publisher = "IEEE Computer Society",
      pages = "55--62"
  }

• L. Ridgway Scott, Jed Brown, George W. Bergantz, Dan Cooley, Clint Dawson, Maarten de Hoop, Donald Estep, Natasha Flyer, Efi Foufoula-Georgiou, Michael Ghil, Matthew Knepley, Randall J. LeVeque, Lek-Heng Lim, Serge Prudhomme, Adrian Sandu, Frederik J. Simons, Philip B. Stark, Michael Stein, Seth Stein, Toshiro Tanimoto, Daniel Tartakovsky, Jonathan Weare, Robert Weiss, Grady B. Wright, and Dave Yuen. Fostering interactions between the geosciences and mathematics, statistics, and computer science. Technical Report 2012-02, University of Chicago, 2012.
  [ PDF ] [BibTeX]

  @techreport{scott2012fosteringgeo,
      author = "Scott, L. Ridgway and Brown, Jed and Bergantz, George W. and Cooley, Dan and Dawson, Clint and de Hoop, Maarten and Estep, Donald and Flyer, Natasha and Foufoula-Georgiou, Efi and Ghil, Michael and Knepley, Matthew and LeVeque, Randall J. and Lim, Lek-Heng and Prudhomme, Serge and Sandu, Adrian and Simons, Frederik J. and Stark, Philip B. and Stein, Michael and Stein, Seth and Tanimoto, Toshiro and Tartakovsky, Daniel and Weare, Jonathan and Weiss, Robert and Wright, Grady B. and Yuen, Dave",
      title = "Fostering Interactions Between the Geosciences and Mathematics, Statistics, and Computer Science",
      institution = "University of Chicago",
      number = "2012-02",
      year = "2012",
      pdf = "http://cs.uchicago.edu/files/tr\_authentic/TR-2012-02.pdf"
  }

• Barry Smith, Lois Curfman McInnes, Emil Constantinescu, Mark Adams, Satish Balay, Jed Brown, Matthew Knepley, and Hong Zhang. PETSc's software strategy for the design space of composable extreme-scale solvers. Preprint ANL/MCS-P2059-0312, Argonne National Laboratory, 2012. DOE Exascale Research Conference, April 16-18, 2012, Portland, OR.
  [BibTeX]

  @techreport{smcabbkz2012,
      author = "Smith, Barry and McInnes, Lois Curfman and Constantinescu, Emil and Adams, Mark and Balay, Satish and Brown, Jed and Knepley, Matthew and Zhang, Hong",
      title = "{PETSc's} software strategy for the design space of composable extreme-scale solvers",
      institution = "Argonne National Laboratory",
      type = "Preprint",
      note = "{DOE} Exascale Research Conference, April 16-18, 2012, Portland, OR",
      year = "2012",
      number = "ANL/MCS-P2059-0312"
  }

2010

• Jason M. Amundson, Mark Fahnestock, Martin Truffer, Jed Brown, Martin P. Lüthi, and Roman J. Motyka. Ice mélange dynamics and implications for terminus stability, Jakobshavn Isbræ, Greenland. Journal of Geophysical Research, 115:F01005, 2010. doi:10.1029/2009JF001405.
  [BibTeX]

  @article{amundson2010ice,
      author = {Amundson, Jason M. and Fahnestock, Mark and Truffer, Martin and Brown, Jed and L{\"u}thi, Martin P. and Motyka, Roman J.},
      title = "{Ice m{\'e}lange dynamics and implications for terminus stability, Jakobshavn Isbr{\ae}, Greenland}",
      journal = "Journal of Geophysical Research",
      volume = "115",
      pages = "F01005",
      year = "2010",
      doi = "10.1029/2009JF001405"
  }

• Jed Brown. Efficient nonlinear solvers for nodal high-order finite elements in 3D. Journal of Scientific Computing, 45:48–63, 2010. doi:10.1007/s10915-010-9396-8.
  [ PDF ] [BibTeX]

  @article{brown2010dohp,
      author = "Brown, Jed",
      affiliation = {Versuchsanstalt f\"ur Wasserbau, Hydrologie und Glaziologie (VAW), ETH Z\"urich, Z\"urich, Switzerland},
      title = "Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in {3D}",
      journal = "Journal of Scientific Computing",
      publisher = "Springer Netherlands",
      issn = "0885-7474",
      keyword = "Mathematics and Statistics",
      pages = "48-63",
      volume = "45",
      issue = "1",
      doi = "10.1007/s10915-010-9396-8",
      abstract = "Conventional high-order finite element methods are rarely used for industrial problems because the Jacobian rapidly loses sparsity as the order is increased, leading to unaffordable solve times and memory requirements. This effect typically limits order to at most quadratic, despite the favorable accuracy and stability properties offered by quadratic and higher order discretizations. We present a method in which the action of the Jacobian is applied matrix-free exploiting a tensor product basis on hexahedral elements, while much sparser matrices based on Q 1 sub-elements on the nodes of the high-order basis are assembled for preconditioning. With this dual-order scheme, storage is independent of spectral order and a natural taping scheme is available to update a full-accuracy matrix-free Jacobian during residual evaluation. Matrix-free Jacobian application circumvents the memory bandwidth bottleneck typical of sparse matrix operations, providing several times greater floating point performance and better use of multiple cores with shared memory bus. Computational results for the p-Laplacian and Stokes problem, using block preconditioners and AMG, demonstrate mesh-independent convergence rates and weak (bounded) dependence on order, even for highly deformed meshes and nonlinear systems with several orders of magnitude dynamic range in coefficients. For spectral orders around 5, the dual-order scheme requires half the memory and similar time to assembled quadratic (Q 2) elements, making it very affordable for general use.",
      year = "2010",
      pdf = "https://jedbrown.org/files/Brown-EfficientNonlinearSolversNodalHighOrder3D-2010.pdf"
  }

2009

• Edward Bueler and Jed Brown. Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model. Journal of Geophysical Research-Earth Surface, 114(F3):F03008, 2009. arXiv:0810.3449, doi:10.1029/2008JF001179.
  [BibTeX]

  @article{bueler2009shallow,
      author = "Bueler, Edward and Brown, Jed",
      title = "{Shallow shelf approximation as a ``sliding law'' in a thermomechanically coupled ice sheet model}",
      journal = "Journal of Geophysical Research-Earth Surface",
      volume = "114",
      number = "F3",
      pages = "F03008",
      year = "2009",
      publisher = "American Geophysical Union",
      doi = "10.1029/2008JF001179",
      archivePrefix = "arXiv",
      eprint = "0810.3449"
  }

• K. Burckhardt, D. Szczerba, J. Brown, K. Muralidhar, and G. Székely. Fast implicit simulation of oscillatory flow in human abdominal bifurcation using a schur complement preconditioner. In H. Sips, D. Epema, and H.-X. Lin, editors, Euro-Par 2009 Parallel Processing, volume 5704 of Lecture Notes in Computer Science, 747–759. Springer, August 2009. doi:10.1007/978-3-642-03869-3_70.
  [BibTeX]

  @InProceedings{eth_biwi_00721,
      author = "Burckhardt, K. and Szczerba, D. and Brown, J. and Muralidhar, K. and Székely, G.",
      editor = "Sips, H. and Epema, D. and Lin, H.-X.",
      title = "Fast Implicit Simulation of Oscillatory Flow in Human Abdominal Bifurcation using a Schur Complement Preconditioner",
      booktitle = "Euro-Par 2009 Parallel Processing",
      year = "2009",
      month = "August",
      pages = "747-759",
      volume = "5704",
      series = "Lecture Notes in Computer Science",
      publisher = "Springer",
      keywords = "Aortic aneurysm, flow simulation, streamline diffusion FEM, indefinite matrix, parallel Krylov solver",
      doi = "10.1007/978-3-642-03869-3\_70"
  }

2007

• E. Bueler, J. Brown, and C. Lingle. Exact solutions to the thermomechanically coupled shallow ice approximation: effective tools for verification. J. Glaciol, 53:499–516, 2007. doi:10.3189/002214307783258396.
  [BibTeX]

  @article{bueler2007est,
      author = "Bueler, E. and Brown, J. and Lingle, C.",
      title = "{Exact solutions to the thermomechanically coupled shallow ice approximation: effective tools for verification}",
      journal = "J. Glaciol",
      volume = "53",
      pages = "499--516",
      year = "2007",
      doi = "10.3189/002214307783258396"
  }

• Edward Bueler, Craig S. Lingle, and Jed Brown. Fast computation of a viscoelastic deformable Earth model for ice-sheet simulations. Annals of Glaciology, 46:97–105, 2007. doi:10.3189/172756407782871567.
  [BibTeX]

  @article{bueler2007fcv,
      author = "Bueler, Edward and Lingle, Craig S. and Brown, Jed",
      title = "Fast computation of a viscoelastic deformable {Earth} model for ice-sheet simulations",
      journal = "Annals of Glaciology",
      volume = "46",
      pages = "97--105",
      year = "2007",
      doi = "10.3189/172756407782871567"
  }

2005

• Edward Bueler, Craig S. Lingle, Jed A. Kallen-Brown, David N. Covey, and Latrice N. Bowman. Exact solutions and numerical verification for isothermal ice sheets. Journal of Glaciology, 51(173):291–306, 2005. doi:10.3189/172756505781829449.
  [BibTeX]

  @article{bueler2005iso,
      author = "Bueler, Edward and Lingle, Craig S. and Kallen-Brown, Jed A. and Covey, David N. and Bowman, Latrice N.",
      title = "Exact solutions and numerical verification for isothermal ice sheets",
      journal = "Journal of Glaciology",
      volume = "51",
      number = "173",
      pages = "291--306",
      year = "2005",
      doi = "10.3189/172756505781829449"
  }