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A weak Galerkin-mixed finite element method for the Stokes-Darcy problem |
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| Authors: | Peng Hui Zhai Qilong Zhang Ran Zhang Shangyou |
| Affiliation: | 1.School of Mathematics, Jilin University, Changchun, 130012, China ;2.Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA ; |
| Abstract: | In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with the Beavers-Joseph-Saffman interface condition. We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to discretize the Darcy equation. A discrete inf-sup condition is proved and the optimal error estimates are also derived. Numerical experiments validate the theoretical analysis. |
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