High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations

Mohamed El Bouajaji 1, 2 Stéphane Lanteri 3
1 CORIDA - Robust control of infinite dimensional systems and applications
IECN - Institut Élie Cartan de Nancy, LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est
3 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 study is concerned with the numerical solution of 2D electromagnetic wave propagation problems in the frequency domain. We present a high order discontinuous Galerkin method formulated on unstructured triangular meshes for the solution of the system of the time-harmonic Maxwell equations in mixed form. Within each triangle, the approximation of the electromagnetic field relies on a nodal polynomial interpolation and the polynomial degree is allowed to vary across mesh elements. The resulting numerical methodology is applied to the simulation of 2D propagation problems in homogeneous and heterogeneous media as well.
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Journal articles
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https://hal.inria.fr/hal-00922826
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Submitted on : Monday, December 30, 2013 - 9:43:58 PM
Last modification on : Wednesday, September 26, 2018 - 2:12:53 PM

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Mohamed El Bouajaji, Stéphane Lanteri. High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations. Applied Mathematics and Computation, Elsevier, 2013, 219 (13), pp.7241-7251. ⟨10.1016/j.amc.2011.03.140⟩. ⟨hal-00922826⟩

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