@misc{arndt_exadg_highorder_2020, 
author={Arndt, D., Fehn, N., Kanschat, G., Kormann, K., Kronbichler, M., Munch, P., Wall, W.A., Witte, J.},
title={ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale},
year={2020},
howpublished = {book part},
doi = {https://doi.org/10.1007/978-3-030-47956-5_8},
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.},
note = {Online available at: \url{https://doi.org/10.1007/978-3-030-47956-5_8} (DOI). Arndt, D.; Fehn, N.; Kanschat, G.; Kormann, K.; Kronbichler, M.; Munch, P.; Wall, W.; Witte, J.: ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale. In: Software for Exascale Computing - SPPEXA 2016-2019. Cham: Springer. 2020. 189-224. DOI: 10.1007/978-3-030-47956-5_8}}