I will present the results of my Ph.D.-thesis on Monday, May 16th 2011, 14:00 at the Katholieke Universiteit Leuven Campus Kortrijk.
The talk deals with multiscale models from electrical engineering, i.e., the
electric network, the magnetoquasistaic field device and the drift-diffusion
model of a semiconductor. Their structure, coupling and DAE-index are analyzed
and furthermore multirate time-integration methods for the coupled problem are
discussed. This is in particular the multirate Schur complement with an
energy-based update scheme and the dynamic iteration approach. It will be
shown by numerical examples that their application reduces significantly the
computational costs in coupled simulations compared to the standard single-rate
approach.