Finite Difference Scheme for Filtration and Consolidation Problems

摘要

It's well known that numerical instabilities appear in the approximation of the Biot's consolidation problem, when standard finite elements or difference methods are applied. To stabilizate this problem, we propose the use of staggered grids for the discretization. A monotone and second order finite difference scheme on this kind of grid is given. We check this properties with some numerical results.