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Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell’s equations. (English) Zbl 1165.78006

Summary: Two Crouzeix-Raviart type nonconforming elements are used in a finite element scheme as well in a mixed finite element scheme for time-dependent Maxwell’s equations in three dimensions. The error estimates are obtained under anisotropic meshes, which are the same as those for conforming elements under regular meshes.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
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