Asymptotic behavior of semidiscrete finite-element approximations of Biot's consolidation problem

被引：97

作者：

Murad, MA ^{[1
]}

Thomee, V ^{[1
]}

Loula, AFD ^{[1
]}

机构：

[1] CHALMERS UNIV TECHNOL,DEPT MATH,S-41296 GOTHENBURG,SWEDEN

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1996年 / 33卷 / 03期

关键词：

Biot's consolidation; finite-element methods; asymptotic behavior;

D O I：

10.1137/0733052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Error estimates for spatially discrete Galerkin finite-element approximations of Blot's model for consolidation of saturated porous media are presented. The short- and long-time behaviors of such approximations based on both stable and un;table combinations of finite-element spaces of displacement and pore pressure fields are discussed.

引用

页码：1065 / 1083

页数：19

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