The Multiharmonic Finite Element and Boundary Element Method for Simulation and Control of Eddy Current Problems

Dipl.-Ing. Michael Kolmbauer

Oct. 19, 2012, 2:30 p.m. HS 3

This thesis deals with the simulation and control of time-dependent, but time-periodic eddy current problems in unbounded domains in $\mathbb{R}^3$. In order to discretize such problems in the full space-time cylinder, we use a non-standard space-time discretization method, namely, the multiharmonic finite element and boundary element method. This discretization technique yields large systems of linear algebraic equations, whereas the fast solution of these systems determines the efficiency of this method. Here, suitable preconditioners are needed in order to ensure efficient and parameter-robust convergence rates of the applied iterative method. Therefore, the main focus of this thesis lies on the construction and analysis of robust and efficient preconditioning strategies for the resulting systems of linear equations.