Accelerating High-Order Finite Element Simulations At Extreme Scale with FP64 Tensor Cores
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Mathematics and Computing↗
Engineering topics
Henneking, Stefan
Publications and source records attributed to Henneking, Stefan.
Real-time Bayesian inference at extreme scale: Tsunami early warning applied to the Cascadia subduction zone
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Mathematics and Computing↗
Scalable DPG multigrid solver for Helmholtz problems: A study on convergence
This paper presents a scalable multigrid preconditioner targeting large-scale systems arising from discontinuous Petrov–Galerkin (DPG) discretizations of high-frequency wave operators. This work is built on previously developed multigrid preconditioning techniques of Petrides and Demkowicz (Comput. Math. Appl. 87 (2021) pp. 12–26) and extends the convergence results from $\mathscr{O}$(10 7 ) degrees of freedom (DOFs) to $\mathscr{O}$(10 9 ) DOFs using a new scalable parallel MPI/OpenMP implementation. Novel contributions of this paper include an alternative definition of coarse-grid systems based on restriction of fine-grid operators, yielding superior convergence results. In the uniform refinement setting, a detailed convergence study is provided, demonstrating h and p robust convergence and linear scaling with respect to the wave frequency. Finally, the paper concludes with numerical results on hp -adaptive simulations including a large-scale seismic modeling benchmark problem with high material contrast.
97 MATHEMATICS AND COMPUTING↗