Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422346 | Journal of Computational and Applied Mathematics | 2017 | 12 Pages |
Abstract
We apply geometric multigrid methods for the finite element approximation of flow problems governed by Darcy and Brinkman systems used in modeling highly heterogeneous porous media. The method is based on divergence-conforming discontinuous Galerkin methods and overlapping, patch based domain decomposition smoothers. We show in benchmark experiments that the method is robust with respect to mesh size and contrast of permeability for highly heterogeneous media.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guido Kanschat, Raytcho Lazarov, Youli Mao,