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- Title
Weak Galerkin method for the coupled Darcy-Stokes flow.
- Authors
WENBIN CHEN; FANG WANG; YANQIU WANG
- Abstract
A family of weak Galerkin finite element discretizations is developed for solving the coupled Darcy- Stokes equation. The equation in consideration admits the Beaver-Joseph-Saffman condition on the interface. By using the weak Galerkin approach, in the discrete space we are able to impose the normal continuity of velocity explicitly. In other words, strong coupling is achieved in the discrete space. Different choices of weak Galerkin finite element spaces are discussed, and error estimates are given.
- Subjects
GALERKIN methods; NUMERICAL solutions to differential equations; TOPOLOGY; ERROR analysis in mathematics; FINITE element method
- Publication
IMA Journal of Numerical Analysis, 2016, Vol 36, Issue 2, p897
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/drv012