A posteriori error estimates for Biot system using a mixed discretization for flow

被引：0

作者：

Wheeler, Mary F. ^{[1
]}

Girault, Vivette ^{[2
]}

Li, Hanyu ^{[1
]}

机构：

[1] Univ Texas Austin, Oden Inst, Ctr Subsurface Modeling, Austin, TX 78712 USA

[2] Univ Paris, Sorbonne Univ, CNRS, Lab Jacques Louis LJLL L, F-75005 Paris, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2022年 / 402卷

基金：

美国国家科学基金会;

关键词：

Biot system; Fixed stress algorithm; Mixed discretization; Residual a posteriori error indicators; Reliability; Efficiency; ELLIPTIC PROBLEMS;

D O I：

10.1016/j.cma.2022.115240

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We first derive convergence and a priori stability, and next reliability and efficiency of a posteriori error indicators for a Biot poroelastic model coupled with an elastic model in R3, solved by a continuous Galerkin scheme (CG) for the displacement and a mixed finite element scheme for the flow. The coupled system is decoupled by a fixed stress splitting algorithm. The numerical implementation of the residual based error indicators is simple, even for the mixed discretization, but at the expense of two suboptimal bounds. The scheme is tested on two benchmark problems via several numerical experiments.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：49

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