Some DG schemes for the Stokes–Darcy problem using P1/P1 element

被引：0
|
作者：
Guanyu Zhou
Takahito Kashiwabara
Issei Oikawa
Eric Chung
Ming-Cheng Shiue
机构：
[1] Tokyo University of Science,Department of Applied Mathematics
[2] The University of Tokyo,The Graduate School of Mathematical Sciences
[3] Hitotsubashi University,Graduate School of Business Administration
[4] The Chinese University of Hong Kong,Department of Mathematics
[5] National Chiao Tung University,Department of Applied Mathematics
来源：
Japan Journal of Industrial and Applied Mathematics | 2019年 / 36卷
关键词：
Finite element method; Stokes–Darcy problem; Penalty method; Discontinuous Galerkin method; Primary 65N30; Secondary 35Q30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose two new DG schemes based on the penalty and Nitsche’s methods respectively for the Stokes–Darcy problem, where we adopt the P1/P1 elements for both the Stokes and Darcy’s velocity/pressure. The well-posedness and a-priori estimates for the discrete solutions are established. The convergence order is elucidated by the numerical experiments.
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页码：1101 / 1128
页数：27
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