Résumé
The gradient discretisation method (GDM) is a generic framework for the spatial discretisation of partial differential equations. The goal of this contribution is to establish an error estimate for a class of degenerate parabolic problems, obtained under very mild regularity assumptions on the exact solution. Our study covers well-known models like the porous medium equation and the fast diffusion equations, as well as the strongly degenerate Stefan problem. Several schemes are then compared in a last section devoted to numerical results.
Labex CEMPI (ANR-11-LABX-0007-01
Australian Research Council’s Discovery Projects funding scheme (project DP170100605)
European Research Council (ERC) Project CHANGE, grant agreement No 694515
Research Foundation-Flanders (FWO), Odysseus programme project G0G1316N