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20152022
most citedPerformance Portable Solid Mechanics via Matrix-Free -Multigrid

9 citations · 23 across the 6 of their papers we have counts for

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cs.MS20213 cited

Understanding performance variability in standard and pipelined parallel Krylov solvers

Hannah Morgan, Patrick Sanan, Matthew G. Knepley +1

In this work, we collect data from runs of Krylov subspace methods and pipelined Krylov algorithms in an effort to understand and model the impact of machine noise and other source…

cs.MS2020

Toward Performance-Portable PETSc for GPU-based Exascale Systems

Richard Tran Mills, Mark F. Adams, Satish Balay +11

The Portable Extensible Toolkit for Scientific computation (PETSc) library delivers scalable solvers for nonlinear time-dependent differential and algebraic equations and for numer…

cs.MS2020

Fully Parallel Mesh I/O using PETSc DMPlex with an Application to Waveform Modeling

Vaclav Hapla, Matthew G. Knepley, Michael Afanasiev +4

Large-scale PDE simulations using high-order finite-element methods on unstructured meshes are an indispensable tool in science and engineering. The widely used open-source PETSc l…

cs.MS2018

Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis

Justin Chang, Maurice S. Fabien, Matthew G. Knepley +1

We present a performance analysis appropriate for comparing algorithms using different numerical discretizations. By taking into account the total time-to-solution, numerical accur…

cs.MS2016

Extreme-scale Multigrid Components within PETSc

Dave A. May, Patrick Sanan, Karl Rupp +2

Elliptic partial differential equations (PDEs) frequently arise in continuum descriptions of physical processes relevant to science and engineering. Multilevel preconditioners repr…

cs.MS20156 cited

Flexible, Scalable Mesh and Data Management using PETSc DMPlex

Michael Lange, Matthew G. Knepley, Gerard J. Gorman

Designing a scientific software stack to meet the needs of the next-generation of mesh-based simulation demands, not only scalable and efficient mesh and data management on a wide…