Low order Crouzeix–Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell’s equations

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.