Sparse supernodal solver with low-rank compression for solving the frequency-domain Maxwell equations discretized by a high order HDG method

Abstract : In this talk, we present the use of PaStiX sparse direct solver in a Schwarz method for solving the frequencydomain Maxwell equations discretized by a high order HDG method. More precisely, the sparse solver is used to solve a system on sub-domains while iterative refinement is performed to get the global solution. Recently, low-rank compression have been added to PaStiX in order to reduce the time-to-solution or the memory footprint of the solver. The resulting low-rank solver can be used either as a direct solver at a lower accuracy or as a good preconditionner for iterative methods. We will investigate the use of low-rank compression for the frequency-domain Maxwell equations on large systems to experiment the compressibility of this equation.
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Submitted on : Monday, December 11, 2017 - 11:18:55 AM
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Grégoire Pichon, Eric Darve, Mathieu Faverge, Stéphane Lanteri, Pierre Ramet, et al.. Sparse supernodal solver with low-rank compression for solving the frequency-domain Maxwell equations discretized by a high order HDG method. Journées jeunes chercheur-e-s - Résolution de problèmes d’ondes harmoniques de grande taille, Nov 2017, PARIS, France. pp.1-55, 2017. ⟨hal-01660653⟩

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