MIXED FINITE ELEMENT METHODS FOR LINEAR VISCOELASTICITY USING WEAK SYMMETRY

被引：24

作者：

Rognes, Marie E. ^{[1
]}

Winthery, Ragnar ^{[1
]}

机构：

[1] Ctr Math Applicat, N-0316 Oslo, Norway

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2010年 / 20卷 / 06期

关键词：

Mixed finite elements; weak symmetry; elasticity; viscoelasticity; ELASTICITY; APPROXIMATION; FAMILY; SPACE; TIME;

D O I：

10.1142/S0218202510004490

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Small deformations of a viscoelastic body are considered through the linear Maxwell and Kelvin-Voigt models in the quasi-static equilibrium. A robust mixed finite element method, enforcing the symmetry of the stress tensor weakly, is proposed for these equations on simplicial tessellations in two and three dimensions. A priori error estimates are derived and numerical experiments presented. The approach can be applied to general models for linear viscoelasticity and thus offers a unified framework.

引用

页码：955 / 985

页数：31

共 40 条

[1] A mixed finite element method for elasticity in three dimensions [J].