Nonconforming mixed elements for elasticity

Douglas N. Arnold, Ragnar Winther

Research output: Contribution to journalArticlepeer-review

85 Scopus citations


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
Issue number3
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.


  • Elasticity
  • Mixed method
  • Nonconforming finite element


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