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In this paper we formulate and analyze a space-time finite element method forthe numerical simulation of rotating electric machines where the finite elementmesh is fixed in space-time domain. Based on the Babu\v{s}ka--Ne\v{c}as theorywe prove unique solvability both for the continuous variational formulation andfor a standard Galerkin finite element discretization in the space-time domain.This approach allows for an adaptive resolution of the solution both in spaceand time, but it requires the solution of the overall system of algebraicequations. While the use of parallel solution algorithms seems to be mandatory,this also allows for a parallelization simultaneously in space and time. Thisapproach is used for the eddy current approximation of the Maxwell equationswhich results in an elliptic-parabolic interface problem. Numerical results forlinear and nonlinear constitutive material relations confirm the applicability,efficiency and accuracy of the proposed approach.

A space-time finite element method for the eddy current approximation of rotating electric machines