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Journal Articles Journal of Computational and Applied Mathematics Year : 2017

Temporal convergence analysis of a locally implicit discontinuous galerkin time domain method for electromagnetic wave propagation in dispersive media

Abstract

This paper is concerned with the approximation of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. We adapt the locally implicit time integration method from [1] and derive a convergence analysis to prove that the locally implicit DGTD method for Maxwell's equations in dispersive media retains its second-order convergence.
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Dates and versions

hal-01244237 , version 1 (15-12-2015)
hal-01244237 , version 2 (28-04-2017)

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Cite

Stéphane Descombes, Stéphane Lanteri, Ludovic Moya. Temporal convergence analysis of a locally implicit discontinuous galerkin time domain method for electromagnetic wave propagation in dispersive media. Journal of Computational and Applied Mathematics, 2017, 316, pp.122-132. ⟨10.1016/j.cam.2016.09.038⟩. ⟨hal-01244237v2⟩
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