Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646397 | Applied Numerical Mathematics | 2006 | 11 Pages |
Abstract
Finite difference methods for a two-dimensional quasi-static Biot's consolidation problem are considered. Stabilized space discretization using staggered grids and the implicit Euler scheme for time stepping is proposed. A priori estimates for displacements and pressure in discrete energy norms are obtained and the corresponding convergence results are proved. Numerical examples are given to illustrate the convergence properties of these stabilized methods.
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