Mixed methods for elastodynamics with weak symmetry

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Douglas N. Arnold
  • Jeong Lee

Research units

  • University of Minnesota

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.

Details

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

    Research areas

  • Elastodynamics, Mixed finite element, Weak symmetry

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