Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study Academic Article

abstract

• 2016 Elsevier B.V. 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.

authors

• Lazarov, Raytcho

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

altmetric score

• 0.25

author list (cited authors)

• Kanschat, G., Lazarov, R., & Mao, Y.

citation count

• 15

complete list of authors

• Kanschat, Guido||Lazarov, Raytcho||Mao, Youli

publication date

• January 2017

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Darcy And Brinkman Flows
• Heterogeneous Porous Media
• Multigrid Methods
• Preconditioning

Digital Object Identifier (DOI)

• 10.1016/j.cam.2016.05.016

start page

• 174

end page

• 185

volume

• 310

URL

• http://dx.doi.org/10.1016/j.cam.2016.05.016