Name
Title | ||
|---|---|---|
Nonconforming polynomial mixed finite element for the Brinkman problem over quadrilateral meshes. |
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. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.camwa.2018.05.027 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Nonconforming finite element,Polynomial,Quadrilateral meshes,Uniform convergence,Discrete de Rham complex | Convergence (routing),Polynomial,Mathematical analysis,Regular polygon,Finite element method,Incompressible flow,Mathematics,Approximation error,Piecewise,Mixed finite element method | Journal |
Volume | Issue | ISSN |
76 | 4 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinchen Zhou | 1 | 7 | 3.53 |
| Zhaoliang Meng | 2 | 3 | 3.53 |
| Xin Fan | 3 | 0 | 0.68 |
| Zhongxuan Luo | 4 | 280 | 51.48 |