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Edge finite elements and mass lumping for Maxwell’s equations: The 3D case. (Éléments finis d’arête et condensation de masse pour les équations de Maxwell: Le cas de dimension 3.) (French. Abridged English version) Zbl 0893.65068

Summary: We construct a new family of tetrahedral edge finite elements for the resolution of Maxwell equations which solves the problem of mass lumping including the case of anisotropic media. The schemes obtained are analzyed through their numerical dispersion on regular meshes.

MSC:

65Z05 Applications to the sciences
35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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