Staggered grid discretizations for the quasi-static Biot's consolidation problem

被引：38

作者：

Gaspar, FJ ^{[1
]}

Lisbona, FJ

Vabishchevich, PN

机构：

[1] Univ Zaragoza, Dept Appl Math, E-50009 Zaragoza, Spain

[2] RAS, Inst Math Modelling, Moscow 124047, Russia

来源：

APPLIED NUMERICAL MATHEMATICS | 2006年 / 56卷 / 06期

关键词：

Biot's model; finite-differences; staggered grids;

D O I：

10.1016/j.apnum.2005.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：888 / 898

页数：11

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