Mixed methods for elastodynamics with weak symmetry

Douglas N. Arnold, Jeong Lee

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)
122 Downloads (Pure)

Abstract

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.

Original languageEnglish
Pages (from-to)2743-2769
Number of pages27
JournalSIAM Journal on Numerical Analysis
Volume52
Issue number6
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • Elastodynamics
  • Mixed finite element
  • Weak symmetry

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