Survey on Semi-Explicit Time Integration of Eddy Current Problems
Computational Engineering, Finance, and Science
2017-09-22 v1 Numerical Analysis
Abstract
The spatial discretization of the magnetic vector potential formulation of magnetoquasistatic field problems results in an infinitely stiff differential-algebraic equation system. It is transformed into a finitely stiff ordinary differential equation system by applying a generalized Schur complement. Applying the explicit Euler time integration scheme to this system results in a small maximum stable time step size. Fast computations are required in every time step to yield an acceptable overall simulation time. Several acceleration methods are presented.
Keywords
Cite
@article{arxiv.1709.07068,
title = {Survey on Semi-Explicit Time Integration of Eddy Current Problems},
author = {Jennifer Dutiné and Markus Clemens and Sebastian Schöps},
journal= {arXiv preprint arXiv:1709.07068},
year = {2017}
}
Comments
accepted by the SCEE 2016 proceedings to be published in the Springer Series "Mathematics in Industry"