Exadg: High-order discontinuous galerkin for the exa-scale

Daniel Arndt; Niklas Fehn; Guido Kanschat; Katharina Kormann; Martin Kronbichler; Peter Munch; Wolfgang A. Wall; Julius Witte

doi:10.1007/978-3-030-47956-5_8

Exadg: High-order discontinuous galerkin for the exa-scale

Daniel Arndt, Niklas Fehn, Guido Kanschat, Katharina Kormann, Martin Kronbichler, Peter Munch, Wolfgang A. Wall, Julius Witte

Computational Coupled Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

40 Scopus citations

Abstract

This text presents contributions to efficient high-order finite element solvers in the context of the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing (SPPEXA). The main algorithmic components are the matrix-free evaluation of finite element and discontinuous Galerkin operators with sum factorization to reach a high node-level performance and parallel scalability, a massively parallel multigrid framework, and efficient multigrid smoothers. The algorithms have been applied in a computational fluid dynamics context. The software contributions of the project have led to a speedup by a factor 3 − 4 depending on the hardware. Our implementations are available via the deal.II finite element library.

Original language	English
Title of host publication	Lecture Notes in Computational Science and Engineering
Publisher	Springer
Pages	189-224
Number of pages	36
DOIs	https://doi.org/10.1007/978-3-030-47956-5_8
State	Published - 2020

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	136
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

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abstract = "This text presents contributions to efficient high-order finite element solvers in the context of the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing (SPPEXA). The main algorithmic components are the matrix-free evaluation of finite element and discontinuous Galerkin operators with sum factorization to reach a high node-level performance and parallel scalability, a massively parallel multigrid framework, and efficient multigrid smoothers. The algorithms have been applied in a computational fluid dynamics context. The software contributions of the project have led to a speedup by a factor 3 − 4 depending on the hardware. Our implementations are available via the deal.II finite element library.",

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AU - Arndt, Daniel

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AU - Kanschat, Guido

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AU - Kronbichler, Martin

AU - Munch, Peter

AU - Wall, Wolfgang A.

AU - Witte, Julius

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Exadg: High-order discontinuous galerkin for the exa-scale

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