A splitting-based finite element method for the Biot poroelasticity system

被引：11
|
作者：
Chaabane, Nabil [1 ]
Riviere, Beatrice [1 ]
机构：
[1] Rice Univ, CAAM Dept, 6100 Main MS-134, Houston, TX 77005 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 07期
关键词：
Biot system; Poroelasticity; Decoupling method; Error estimates; Finite element method; CONSOLIDATION; CONVERGENCE; MODELS;
D O I：
10.1016/j.camwa.2017.12.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we propose a finite element method for solving the linear poroelasticity equations. Both displacement and pressure are approximated by continuous piecewise polynomials. The proposed method is sequential, leading to decoupled smaller linear systems compared to the systems resulting from a fully implicit finite element approach. A priori error estimates are derived. Numerical results validate the theoretical convergence rates. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2328 / 2337
页数：10
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