A parallel space-time multigrid method for the eddy-current equation
Computational Engineering, Finance, and Science
2019-11-22 v1 Numerical Analysis
Numerical Analysis
Abstract
We expand the applicabilities and capabilities of an already existing space-time parallel method based on a block Jacobi smoother. First we formulate a more detailed criterion for spatial coarsening, which enables the method to deal with unstructured meshes and varying material parameters. Further we investigate the application to the eddy-current equation, where the non-trivial kernel of the curl operator causes severe problems. This is remedied with a new nodal auxiliary space correction. We proceed to identify convergence rates by local Fourier analysis and numerical experiments. Finally, we present a numerical experiment which demonstrates its excellent scaling properties.
Keywords
Cite
@article{arxiv.1911.09548,
title = {A parallel space-time multigrid method for the eddy-current equation},
author = {Martin Neumüller and Martin Schwalsberger},
journal= {arXiv preprint arXiv:1911.09548},
year = {2019}
}