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A dispersion analysis of finite element methods for Maxwell’s equations. (English) Zbl 0804.65122

Summary: A dispersion analysis of six different finite element methods for approximating Maxwell’s equations in space is presented. The study is limited to two space dimensions and triangular elements, but all the methods considered can be generalised to three dimensions using prismatic elements. Spatial grids consisting of both equilateral and right triangles are considered.

MSC:

65Z05 Applications to the sciences
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
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