MIXED METHODS FOR ELASTODYNAMICS WITH WEAK SYMMETRY

被引：32

作者：

Arnold, Douglas N. ^{[1
]}

Lee, Jeonghun J. ^{[2
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Aalto Univ, Dept Math & Syst Anal, FI-00076 Espoo, Finland

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2014年 / 52卷 / 06期

基金：

美国国家科学基金会;

关键词：

mixed finite element; elastodynamics; weak symmetry; FINITE-ELEMENT METHODS; ELASTICITY ELEMENT; LINEAR ELASTICITY; PLANE ELASTICITY; STRESS SYMMETRY; FAMILY; DOMAIN;

D O I：

10.1137/13095032X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weakly imposed symmetry of stress. Our approach leads to a semidiscrete method which consists of a system of ordinary differential equations without algebraic constraints. Our error analysis, which is based on a new elliptic projection operator, applies to several mixed finite element spaces developed for elastostatics. The error estimates we obtain are robust for nearly incompressible materials.

引用

页码：2743 / 2769

页数：27

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