Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields

摘要

We consider efficient and robust adaptive multigrid and domain decomposition methods for the computation of electromagnetic fields in the low-frequency regime, i.e., for the quasistationary limit of Maxwell's equations based on curl-conforming edge element discretizations. Emphasis is on hybrid smoothing and nonmatching grids (mortar edge elements) as well as on adaptive grid refinement relying on residual type a posteriori error estimation. Numerical results are given to illustrate the performance of the multigrid solvers and the a posteriori error estimators. As a technologically relevant problem, we briefly address the computation of eddy currents in converter modules used as electric drives for high-power electromotors.