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.
|Journal||Japan Journal of Industrial and Applied Mathematics|
|State||Accepted/In press - 1 Jan 2019|
- Discontinuous Galerkin method
- Finite element method
- Penalty method
- Stokes–Darcy problem