標題: Some DG schemes for the Stokes-Darcy problem using P1/P1 element
作者: Zhou, Guanyu
Kashiwabara, Takahito
Oikawa, Issei
Chung, Eric
Shiue, Ming-Cheng
應用數學系
Department of Applied Mathematics
關鍵字: Finite element method;Stokes-Darcy problem;Penalty method;Discontinuous Galerkin method
公開日期: 1-Sep-2019
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.
URI: http://dx.doi.org/10.1007/s13160-019-00377-z
http://hdl.handle.net/11536/153077
ISSN: 0916-7005
DOI: 10.1007/s13160-019-00377-z
期刊: JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
Volume: 36
Issue: 3
起始頁: 1101
結束頁: 1128
Appears in Collections:Articles