Multigrid in H(div) on Axisymmetric Domains
Numerical Analysis
2019-11-22 v1 Numerical Analysis
Abstract
In this paper, we will construct and analyze a multigrid algorithm that can be applied to weighted H(div)-problems on a two-dimensional domain. These problems arise after performing a dimension reduction to a three-dimensional axisymmetric H(div)-problem. We will use recently developed Fourier finite element spaces that can be applied to axisymmetric H(div)-problems with general data. We prove that if the axisymmetric domain is convex, then the multigrid V-cycle with modern smoothers will converge uniformly with respect to the meshsize.
Keywords
Cite
@article{arxiv.1911.09621,
title = {Multigrid in H(div) on Axisymmetric Domains},
author = {Minah Oh},
journal= {arXiv preprint arXiv:1911.09621},
year = {2019}
}
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27 pages