Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902673 | Applied Numerical Mathematics | 2018 | 21 Pages |
Abstract
We simulate a sharp-diffuse interface model issuing from a seawater intrusion problem in unconfined aquifer. We study a semi-implicite in time scheme for a Pk,(kâ¥1) Lagrange finite element approximation. Using the specific regularity of the exact solution, we state that the scheme is of order 1 in time and k in space. We propose a finite volume method for a regular mesh and we compare the results given by these two approximations.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
A. Abudawia, A. Mourad, J.H. Rodrigues, C. Rosier,