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Nonconforming polynomial mixed finite element for the Brinkman problem over quadrilateral meshes.
- Source :
-
Computers & Mathematics with Applications . Aug2018, Vol. 76 Issue 4, p877-892. 16p. - Publication Year :
- 2018
-
Abstract
- This work provides a new mixed finite element method for the Brinkman problem over arbitrary convex quadrilateral meshes. The velocity is approximated by piecewise polynomial element space which is H ( div ) -nonconforming, and the pressure is approximated by piecewise constant. We give the convergence analysis of our element, and especially show the robustness with respect to the Darcy limit. Moreover, via a discrete de Rham complex, a higher-order approximation error term is obtained for incompressible flow. Numerical examples verify our theoretical findings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 76
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 130877465
- Full Text :
- https://doi.org/10.1016/j.camwa.2018.05.027