Parallel-in-Time Solution of Eddy Current Problems Using Implicit and Explicit Time-stepping Methods

The time domain analysis of eddy current problems often requires the simulation of long time intervals, e.g. until a steady state is reached. Fast-switching excitations e.g. in pulsed-width modulated signals require in addition very small time step sizes that significantly increase computation time. To speed up the simulation, parallel-in-time methods can be used. In this paper, we investigate the combination of explicit and implicit time integration methods in the context of the parallel-in-time method Parareal and using a simplified model for the coarse propagator.