%0 book part
%@ 1439-7358
%A Arndt, D., Fehn, N., Kanschat, G., Kormann, K., Kronbichler, M., Munch, P., Wall, W.A., Witte, J.

%D 2020
%J Software for Exascale Computing - SPPEXA 2016-2019

%P 189-224 
%R doi:10.1007/978-3-030-47956-5_8
%T ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale
%U https://doi.org/10.1007/978-3-030-47956-5_8
 
%X 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.