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Edge elements on anisotropic meshes and approximation of the Maxwell equations. (English) Zbl 1001.65122

This paper concerns some edge element methods on a class of anisotropic meshes based on tetrahedra and prismatic elements. Anisotropic local interpolation error estimates are derived for these types of elements. In particular, the numerical approximation of the Maxwell equations in domains with edges is investigated. Some numerical tests are given.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
78A30 Electro- and magnetostatics
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
65N15 Error bounds for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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