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

2020/12/14 by Garcia, Idoia Cortes, Kulchytska-Ruchka, Iryna, Clemens, Markus +1
#34A09 #65L05 #65L80 #78-10 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2012.07603

Abstract

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 pulsedwidth 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.

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