High order HDG method and domain decomposition solvers for frequency‐domain electromagnetics

Emmanuel Agullo 1 Luc Giraud 1 Alexis Gobé 2 Matthieu Kuhn 1 Stephane Lanteri 2 Ludovic Moya 2
1 HiePACS - High-End Parallel Algorithms for Challenging Numerical Simulations
LaBRI - Laboratoire Bordelais de Recherche en Informatique, Inria Bordeaux - Sud-Ouest
2 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : This work is concerned with the numerical treatment of the system of three-dimensional frequency-domain (or time-harmonic) Maxwell equations using a high order hybridizable dis-continuous Galerkin (HDG) approximation method combined to domain decomposition (DD) based hybrid iterative-direct parallel solution strategies. The proposed HDG method preserves the advantages of classical DG methods previously introduced for the time-domain Maxwell equations, in particular in terms of accuracy and flexibility with regards to the discretization of complex geometrical features, while keeping the computational efficiency at the level of the reference edge element based finite element formulation widely adopted for the considered PDE system. We study in details the computational performances of the resulting DD solvers in particular in terms of scalability metrics by considering both a model test problem and more realistic large-scale simulations performed on high performance computing systems consisting of networked multicore nodes.
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Submitted on : Tuesday, November 12, 2019 - 10:53:15 AM
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Emmanuel Agullo, Luc Giraud, Alexis Gobé, Matthieu Kuhn, Stephane Lanteri, et al.. High order HDG method and domain decomposition solvers for frequency‐domain electromagnetics. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Wiley, 2019, ⟨10.1002/jnm.2678⟩. ⟨hal-02327982⟩

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