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Journal Articles Computer Physics Communications Year : 2016

Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a Hybridizable Discontinuous Galerkin method

Abstract

This work is concerned with the development of numerical methods for the simulation of time-harmonic electromagnetic wave propagation problems. A hybridizable discontinuous Galerkin (HDG) method is adopted for the discretization of the two-dimensional time-harmonic Maxwell’s equations on a triangular mesh. A distinguishing feature of the present work is that this discretization method is employed at the subdomain level in the framework of a Schwarz-type domain decomposition algorithm (DDM). We show that HDG method naturally couples with a Schwarz method relying on optimized transmission conditions. The presented numerical results show the effectiveness of the optimized DDM-HDG method.
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Dates and versions

hal-01258441 , version 1 (19-01-2016)

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Yu-Xuan He, Liang Li, Stéphane Lanteri, Ting-Zhu Huang. Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a Hybridizable Discontinuous Galerkin method. Computer Physics Communications, 2016, ⟨10.1016/j.cpc.2015.11.011⟩. ⟨hal-01258441⟩
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