Nonconforming mixed elements for elasticity

Douglas N. Arnold, Ragnar Winther

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

Abstract

We construct first-order, stable, nonconforming mixed finite elements for plane elasticity and analyze their convergence. The mixed method is based on the Hellinger-Reissner variational formulation in which the stress and displacement fields are the primary unknowns, The stress elements use polynomial shape functions but do not involve vertex degrees of freedom.

Original languageEnglish (US)
Pages (from-to)295-307
Number of pages13
JournalMathematical Models and Methods in Applied Sciences
Volume13
Issue number3
DOIs
StatePublished - Mar 2003

Bibliographical note

Funding Information:
The first author was supported by NSF grant DMS-9870399 and the second author by the Research Council of Norway under grant 135420/431.

Keywords

  • Elasticity
  • Mixed method
  • Nonconforming finite element

Fingerprint

Dive into the research topics of 'Nonconforming mixed elements for elasticity'. Together they form a unique fingerprint.

Cite this