Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901949 | Journal of Computational and Applied Mathematics | 2018 | 11 Pages |
Abstract
In this short note we study the interpolation spaces based uniform inf-sup condition for Brinkman equation in highly heterogeneous domains. The result is known to hold in the case of a uniform constant permeability. Our numerical construction and experiments show that it is not true for the Taylor-Hood and the Mini elements applied to problems with highly heterogeneous coefficients.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Raytcho Lazarov, Aziz Takhirov,