Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776104 | Journal of Computational and Applied Mathematics | 2017 | 24 Pages |
Abstract
A numerical method is proposed and analyzed for the coupled time-dependent Navier-Stokes equations and Darcy equations. Existence and uniqueness of the solution are obtained under a small data condition. A priori error estimates are derived. Numerical examples confirm the theoretical convergence rates.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nabil Chaabane, Vivette Girault, Charles Puelz, Beatrice Riviere,