Analysis of a discontinuous Galerkin method for the Biot's consolidation problem

被引：44

作者：

Chen, Yumei ^{[1
]}

Luo, Yan ^{[2
]}

Feng, Minfu ^{[3
]}

机构：

[1] China West Normal Univ, Coll Math & Informat, Nanchong 637009, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China

[3] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Biot's consolidation problem; Discontinuous Galerkin methods; FINITE-ELEMENT-METHOD; NAVIER-STOKES EQUATIONS; LAGRANGIAN-MULTIPLIERS; CONSERVATION-LAWS; ELLIPTIC PROBLEMS;

D O I：

10.1016/j.amc.2013.03.104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a fully discrete stabilized discontinuous Galerkin method is proposed to solve the Biot's consolidation problem. The existence and uniqueness of the finite element solution are obtained. The stability of the fully discrete solution is discussed. The corresponding error estimates for the approximation of displacement and pressure in a mesh dependent norm are obtained. The error estimate for the approximation of pressure in L-2 norm is also obtained. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：9043 / 9056

页数：14

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