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Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell’s Equations in Time Domain

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Abstract

This paper presents a low-order spatial discretization to solve the Maxwell equations in the time-domain, namely: the Compatible Discrete Operator scheme. The basics to build this scheme are recalled, and it is shown how this scheme allows to efficiently deal with hybrid meshes composed of a Cartesian part and a simplicial part, with polyhedra at the interface between the two. The scheme is formulated for the Maxwell equations in the case where the computational domain is surrounded by Perfectly Matched Layers. Finally, the paper proposes some numerical examples on meshes with non-conformities, to emphasize the robustness and the interest of such a scheme.

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The curves analysed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. ONERA/DEMR, Université de Toulouse, 31055, Toulouse, France

    Valentin Ritzenthaler & Xavier Ferrieres

  2. IMT - UMR CNRS 5219, Université Paul Sabatier, Toulouse, France

    Pierre Cantin

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  1. Valentin Ritzenthaler
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  2. Pierre Cantin
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  3. Xavier Ferrieres
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Correspondence to Valentin Ritzenthaler.

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Ritzenthaler, V., Cantin, P. & Ferrieres, X. Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell’s Equations in Time Domain. J Sci Comput 99, 73 (2024). https://doi.org/10.1007/s10915-024-02533-1

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  • DOI: https://doi.org/10.1007/s10915-024-02533-1

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