Abstract
We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multimodeling problems. Potential extensions and future directions are discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1801-1813 |
| Number of pages | 13 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 45 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2007 |
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics