A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics

被引：6

作者：

Lleras, V. ^{[1
]}

机构：

[1] Univ Besancon, Math Lab, CNRS, UMR 6623, F-25030 Besancon, France

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2009年 / 4卷 / 01期

关键词：

unilateral contact; Coulomb's friction law; finite elements; mixed method; stabilization; BABUSKA-BREZZI CONDITION; COULOMB-FRICTION; SIGNORINI PROBLEM; UNILATERAL PROBLEMS; ELASTIC CONTACT; BOUNDARY; MODEL; UNIQUENESS; EXISTENCE;

D O I：

10.1051/mmnp/20094108

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work we consider a stabilized Lagrange multiplier method in order to approximate the Coulomb frictional contact model in linear elastostatics. The particularity of the method is that no discrete inf-sup condition is needed. We study the existence and the uniqueness of solution of the discrete problem.

引用

页码：163 / 182

页数：20

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