A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media
| Autor: | Aziz Takhirov, Raytcho D. Lazarov |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
010101 applied mathematics
Computational Mathematics Permeability (earth sciences) Applied Mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Mathematical analysis 010103 numerical & computational mathematics 0101 mathematics Constant (mathematics) 01 natural sciences Interpolation Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 340:537-545 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2017.11.037 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect