Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891713 | Computers & Mathematics with Applications | 2018 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xinchen Zhou, Zhaoliang Meng, Xin Fan, Zhongxuan Luo,