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.
|頁（從 - 到）||1101-1128|
|期刊||Japan Journal of Industrial and Applied Mathematics|
|出版狀態||Accepted/In press - 1 一月 2019|