ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale Article Swipe

PDF

Related Concepts

Multigrid method Computer science Massively parallel Scalability Computational science Parallel computing Context (archaeology) Speedup Discontinuous Galerkin method Finite element method Software Implementation Supercomputer Exascale computing Theoretical computer science Mathematics Software engineering Programming language Engineering Database Partial differential equation Paleontology Mathematical analysis Biology Structural engineering

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

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.1007/978-3-030-47956-5_8 · OA: W3048757510

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.