Matthew G. Knepley

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 43

Top Topics

Parallel Computation

Finite Element Methods

Boundary Conditions

Partial Differential Equations

Top Venues

SIAM J. Sci. Comput.

Concurr. Comput. Pract. Exp.

Comput. Sci. Eng.

Publications

David A. Ham, Vaclav Hapla, Matthew G. Knepley, Lawrence Mitchell, Koki Sagiyama
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations. CoRR (2024)
Richard Tran Mills, Mark F. Adams, Satish Balay, Jed Brown, Jacob Faibussowitsch, Toby Isaac, Matthew G. Knepley, Todd S. Munson, Hansol Suh, Stefano Zampini, Hong Zhang, Junchao Zhang
PETSc/TAO Developments for Early Exascale Systems. CoRR (2024)
Daniel S. Finn, Matthew G. Knepley, Joseph V. Pusztay, Mark F. Adams
A Numerical Study of Landau Damping with PETSc-PIC. CoRR (2023)
Mark F. Adams, Satish Balay, Oana Marin, Lois Curfman McInnes, Richard Tran Mills, Todd S. Munson, Hong Zhang, Junchao Zhang, Jed Brown, Victor Eijkhout, Jacob Faibussowitsch, Matthew G. Knepley, Fande Kong, Scott Kruger, Patrick Sanan, Barry F. Smith, Hong Zhang
The PETSc Community Is the Infrastructure. CoRR (2022)
Jed Brown, Valeria Barra, Natalie Beams, Leila Ghaffari, Matthew G. Knepley, William Moses, Rezgar Shakeri, Karen Stengel, Jeremy L. Thompson, Junchao Zhang
Performance Portable Solid Mechanics via Matrix-Free p-Multigrid. CoRR (2022)
Joseph G. Wallwork, Matthew G. Knepley, Nicolas Barral, Matthew D. Piggott
Parallel Metric-Based Mesh Adaptation in PETSc using ParMmg. CoRR (2022)
Abhishek Mishra, David Salac, Matthew G. Knepley
On the order of accuracy for finite difference approximations of partial differential equations using stencil composition. CoRR (2022)
Aman Timalsina, Matthew G. Knepley
Tetrahedralization of a Hexahedral Complex. CoRR (2022)
Junchao Zhang, Jed Brown, Satish Balay, Jacob Faibussowitsch, Matthew G. Knepley, Oana Marin, Richard Tran Mills, Todd S. Munson, Barry F. Smith, Stefano Zampini
The PetscSF Scalable Communication Layer. IEEE Trans. Parallel Distributed Syst. 33 (4) (2022)
Mark F. Adams, Dylan P. Brennan, Matthew G. Knepley, Peng Wang
Landau collision operator in the CUDA programming model applied to thermal quench plasmas. IPDPS (2022)
Joseph V. Pusztay, Matthew G. Knepley, Mark F. Adams
Conservative Projection Between Finite Element and Particle Bases. SIAM J. Sci. Comput. 44 (4) (2022)
Mark F. Adams, Satish Balay, Oana Marin, Lois Curfman McInnes, Richard Tran Mills, Todd S. Munson, Hong Zhang, Junchao Zhang, Jed Brown, Victor Eijkhout, Jacob Faibussowitsch, Matthew G. Knepley, Fande Kong, Scott Kruger, Patrick Sanan, Barry F. Smith, Hong Zhang
The PETSc Community as Infrastructure. Comput. Sci. Eng. 24 (3) (2022)
Richard Tran Mills, Mark F. Adams, Satish Balay, Jed Brown, Alp Dener, Matthew G. Knepley, Scott E. Kruger, Hannah Morgan, Todd S. Munson, Karl Rupp, Barry F. Smith, Stefano Zampini, Hong Zhang, Junchao Zhang
Toward performance-portable PETSc for GPU-based exascale systems. Parallel Comput. 108 (2021)
Junchao Zhang, Jed Brown, Satish Balay, Jacob Faibussowitsch, Matthew G. Knepley, Oana Marin, Richard Tran Mills, Todd S. Munson, Barry F. Smith, Stefano Zampini
The PetscSF Scalable Communication Layer. CoRR (2021)
Vaclav Hapla, Matthew G. Knepley, Michael Afanasiev, Christian Boehm, Martin van Driel, Lion Krischer, Andreas Fichtner
Fully Parallel Mesh I/O Using PETSc DMPlex with an Application to Waveform Modeling. SIAM J. Sci. Comput. 43 (2) (2021)
Patrick E. Farrell, Matthew G. Knepley, Lawrence Mitchell, Florian Wechsung
PCPATCH: Software for the Topological Construction of Multigrid Relaxation Methods. ACM Trans. Math. Softw. 47 (3) (2021)
Hannah Morgan, Patrick Sanan, Matthew G. Knepley, Richard Tran Mills
Understanding performance variability in standard and pipelined parallel Krylov solvers. CoRR (2021)
Hannah Morgan, Patrick Sanan, Matthew G. Knepley, Richard Tran Mills
Understanding performance variability in standard and pipelined parallel Krylov solvers. Int. J. High Perform. Comput. Appl. 35 (1) (2021)
Maurice S. Fabien, Matthew G. Knepley, Béatrice M. Rivière
Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. J. Num. Math. 28 (3) (2020)
Richard Tran Mills, Mark F. Adams, Satish Balay, Jed Brown, Alp Dener, Matthew G. Knepley, Scott E. Kruger, Hannah Morgan, Todd S. Munson, Karl Rupp, Barry F. Smith, Stefano Zampini, Hong Zhang, Junchao Zhang
Toward Performance-Portable PETSc for GPU-based Exascale Systems. CoRR (2020)
Vaclav Hapla, Matthew G. Knepley, Michael Afanasiev, Christian Boehm, Martin van Driel, Lion Krischer, Andreas Fichtner
Fully Parallel Mesh I/O using PETSc DMPlex with an Application to Waveform Modeling. CoRR (2020)
Patrick E. Farrell, Matthew G. Knepley, Florian Wechsung, Lawrence Mitchell
PCPATCH: software for the topological construction of multigrid relaxation methods. CoRR (2019)
M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley
Composable block solvers for the four-field double porosity/permeability model. J. Comput. Phys. 386 (2019)
Maurice S. Fabien, Matthew G. Knepley, Richard Tran Mills, Béatrice M. Rivière
Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method. SIAM J. Sci. Comput. 41 (2) (2019)
Justin Chang, Maurice S. Fabien, Matthew G. Knepley, Richard Tran Mills
Comparative Study of Finite Element Methods Using the Time-Accuracy-Size(TAS) Spectrum Analysis. SIAM J. Sci. Comput. 40 (6) (2018)
Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson
A performance spectrum for parallel computational frameworks that solve PDEs. Concurr. Comput. Pract. Exp. 30 (11) (2018)
Maurice S. Fabien, Matthew G. Knepley, Béatrice M. Rivière
A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media. CoRR (2018)
Justin Chang, Maurice S. Fabien, Matthew G. Knepley, Richard Tran Mills
Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis. CoRR (2018)
Maurice S. Fabien, Matthew G. Knepley, Béatrice M. Rivière
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. CoRR (2018)
M. S. Joshaghani, Justin Chang, K. B. Nakshatrala, Matthew G. Knepley
Composable block solvers for the four-field double porosity/permeability model. CoRR (2018)
Mark F. Adams, Eero Hirvijoki, Matthew G. Knepley, Jed Brown, Tobin Isaac, Richard Tran Mills
Landau Collision Integral Solver with Adaptive Mesh Refinement on Emerging Architectures. CoRR (2017)
Jonas Actor, Matthew G. Knepley
An Algorithm for Computing Lipschitz Inner Functions in Kolmogorov's Superposition Theorem. CoRR (2017)
Mark F. Adams, Eero Hirvijoki, Matthew G. Knepley, Jed Brown, Tobin Isaac, Richard Tran Mills
Landau Collision Integral Solver with Adaptive Mesh Refinement on Emerging Architectures. SIAM J. Sci. Comput. 39 (6) (2017)
Justin Chang, K. B. Nakshatrala, Matthew G. Knepley, S. Lennart Johnsson
A performance spectrum for parallel computational frameworks that solve PDEs. CoRR (2017)
Dave A. May, Patrick Sanan, Karl Rupp, Matthew G. Knepley, Barry F. Smith
Extreme-scale Multigrid Components within PETSc. CoRR (2016)
Dave A. May, Patrick Sanan, Karl Rupp, Matthew G. Knepley, Barry F. Smith
Extreme-Scale Multigrid Components within PETSc. PASC (2016)
Mark F. Adams, Jed Brown, Matthew G. Knepley, Ravi Samtaney
Segmental Refinement: A Multigrid Technique for Data Locality. SIAM J. Sci. Comput. 38 (4) (2016)
Michael Lange, Lawrence Mitchell, Matthew G. Knepley, Gerard J. Gorman
Efficient Mesh Management in Firedrake Using PETSc DMPlex. SIAM J. Sci. Comput. 38 (5) (2016)
Peter R. Brune, Matthew G. Knepley, Barry F. Smith, Xuemin Tu
Composing Scalable Nonlinear Algebraic Solvers. CoRR (2016)
Matthew G. Knepley, Karl Rupp, Andy R. Terrel
Finite Element Integration with Quadrature on the GPU. CoRR (2016)
Hannah Morgan, Matthew G. Knepley, Patrick Sanan, L. Ridgway Scott
A stochastic performance model for pipelined Krylov methods. Concurr. Comput. Pract. Exp. 28 (18) (2016)
Hannah Morgan, Matthew G. Knepley, Patrick Sanan, L. Ridgway Scott
A Stochastic Performance Model for Pipelined Krylov Methods. CoRR (2016)
Nicolas Barral, Matthew G. Knepley, Michael Lange, Matthew D. Piggott, Gerard J. Gorman
Anisotropic mesh adaptation in Firedrake with PETSc DMPlex. CoRR (2016)
Matthew G. Knepley, Michael Lange, Gerard J. Gorman
Unstructured Overlapping Mesh Distribution in Parallel. CoRR (2015)
Peter R. Brune, Matthew G. Knepley, Barry F. Smith, Xuemin Tu
Composing Scalable Nonlinear Algebraic Solvers. SIAM Rev. 57 (4) (2015)
Michael Lange, Matthew G. Knepley, Gerard J. Gorman
Flexible, Scalable Mesh and Data Management using PETSc DMPlex. CoRR (2015)
Jed Brown, Matthew G. Knepley, Barry F. Smith
Run-Time Extensibility and Librarization of Simulation Software. Comput. Sci. Eng. 17 (1) (2015)
Tobin Isaac, Matthew G. Knepley
Support for Non-conformal Meshes in PETSc's DMPlex Interface. CoRR (2015)
Karl Rupp, Satish Balay, Jed Brown, Matthew G. Knepley, Lois C. McInnes, Barry Smith
On The Evolution Of User Support Topics in Computational Science and Engineering Software. CoRR (2015)
Michael Lange, Lawrence Mitchell, Matthew G. Knepley, Gerard J. Gorman
Efficient mesh management in Firedrake using PETSc-DMPlex. CoRR (2015)
Liang Zheng, Huai Zhang, Taras V. Gerya, Matthew G. Knepley, David A. Yuen, Yaolin Shi
Implementation of a multigrid solver on a GPU for Stokes equations with strongly variable viscosity based on Matlab and CUDA. Int. J. High Perform. Comput. Appl. 28 (1) (2014)
Jaydeep P. Bardhan, Matthew G. Knepley
Modeling Charge-Sign Asymmetric Solvation Free Energies With Nonlinear Boundary Conditions. CoRR (2014)
Jed Brown, Matthew G. Knepley, Barry F. Smith
Run-time extensibility and librarization of simulation software. CoRR (2014)
Matthew G. Knepley, Andy R. Terrel
Finite Element Integration on GPUs. ACM Trans. Math. Softw. 39 (2) (2013)
Brad T. Aagaard, Matthew G. Knepley, Charles A. Williams
A Domain Decomposition Approach to Implementing Fault Slip in Finite-Element Models of Quasi-static and Dynamic Crustal Deformation. CoRR (2013)
Matthew G. Knepley, Jed Brown, Karl Rupp, Barry F. Smith
Achieving High Performance with Unified Residual Evaluation. CoRR (2013)
Peter R. Brune, Matthew G. Knepley, L. Ridgway Scott
Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes. SIAM J. Sci. Comput. 35 (1) (2013)
Jed Brown, Matthew G. Knepley, David A. May, Lois Curfman McInnes, Barry Smith
Composable Linear Solvers for Multiphysics. ISPDC (2012)
Matthew G. Knepley
Programming Languages for Scientific Computing CoRR (2012)
Jaydeep P. Bardhan, Matthew G. Knepley, Peter R. Brune
Analytical Nonlocal Electrostatics Using Eigenfunction Expansions of Boundary-Integral Operators CoRR (2012)
David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems. SIAM J. Sci. Comput. 34 (4) (2012)
Jaydeep P. Bardhan, Matthew G. Knepley
Computational science and re-discovery: open-source implementations of ellipsoidal harmonics for problems in potential theory CoRR (2012)
Peter R. Brune, Matthew G. Knepley, L. Ridgway Scott
Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes CoRR (2011)
Jaydeep P. Bardhan, Matthew G. Knepley
Mathematical Analysis of the BIBEE Approximation for Molecular Solvation: Exact Results for Spherical Inclusions CoRR (2011)
Matthew G. Knepley, Andy R. Terrel
Finite Element Integration on GPUs CoRR (2011)
Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli, Lisandro Dalcín
PetClaw: a scalable parallel nonlinear wave propagation solver for Python. SpringSim (HPC) (2011)
David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett
Accessible, Extensible, Scalable Tools for Wave Propagation Problems CoRR (2011)
Rio Yokota, Jaydeep P. Bardhan, Matthew G. Knepley, Lorena A. Barba, Tsuyoshi Hamada
Biomolecular electrostatics using a fast multipole BEM on up to 512 gpus and a billion unknowns. Comput. Phys. Commun. 182 (6) (2011)
Dave A. May, Matthew G. Knepley
Optimal, scalable forward models for computing gravity anomalies CoRR (2011)
Matthew G. Knepley
Removing the Barrier to Scalability in Parallel FMM CoRR (2010)
Rio Yokota, Tsuyoshi Hamada, Jaydeep P. Bardhan, Matthew G. Knepley, Lorena A. Barba
Biomolecular Electrostatics Simulation by an FMM-based BEM on 512 GPUs CoRR (2010)
Matthew G. Knepley, Dmitry A. Karpeev
Mesh Algorithms for PDE with Sieve I: Mesh Distribution CoRR (2009)
Matthew G. Knepley, Dmitry A. Karpeev
Mesh algorithms for PDE with Sieve I: Mesh distribution. Sci. Program. 17 (3) (2009)
Rio Yokota, Lorena A. Barba, Matthew G. Knepley
PetRBF--A parallel O(N) algorithm for radial basis function interpolation CoRR (2009)
Felipe A. Cruz, Matthew G. Knepley, Lorena A. Barba
PetFMM--A dynamically load-balancing parallel fast multipole library CoRR (2009)
Robert C. Kirby, Matthew G. Knepley, Anders Logg, L. Ridgway Scott
Optimizing the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. 27 (3) (2005)
Matthew G. Knepley, Vivek Sarin, Ahmed H. Sameh
Parallel Simulation of Particulate Flows. IRREGULAR (1998)
Denis Vanderstraeten, Matthew G. Knepley
Parallel Building Blocks for Finite Element Simulations. Parallel CFD (1997)