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

Guanyu Zhou*, Takahito Kashiwabara, Issei Oikawa, Eric Chung, Ming-Cheng Shiue

*Corresponding author for this work

研究成果: Article同行評審

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.

原文English
頁(從 - 到)1101-1128
期刊Japan Journal of Industrial and Applied Mathematics
36
發行號3
DOIs
出版狀態Accepted/In press - 1 一月 2019

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