Mixed methods for elastodynamics with weak symmetry

Douglas N. Arnold, Jeonghun J. Lee

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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 (US)
Pages (from-to)2743-2769
Number of pages27
JournalSIAM Journal on Numerical Analysis
Volume52
Issue number6
DOIs
StatePublished - 2014

Keywords

  • Elastodynamics
  • Mixed finite element
  • Weak symmetry

Fingerprint Dive into the research topics of 'Mixed methods for elastodynamics with weak symmetry'. Together they form a unique fingerprint.

Cite this