Rectangular mixed finite elements for elasticity

Douglas N. Arnold, Gerard Awanou

Research output: Contribution to journalArticlepeer-review

58 Scopus citations

Abstract

We present a family of stable rectangular mixed finite elements for plane elasticity. Each member of the family consists of a space of piecewise polynomials discretizing the space of symmetric tensor fields in which the stress field is sought, and another to discretize the space of vector fields in which the displacement is sought. These may be viewed as analogues in the case of rectangular meshes of mixed finite elements recently proposed for triangular meshes. As for the triangular case the elements are closely related to a discrete version of the elasticity differential complex.

Original languageEnglish (US)
Pages (from-to)1417-1429
Number of pages13
JournalMathematical Models and Methods in Applied Sciences
Volume15
Issue number9
DOIs
StatePublished - Sep 2005

Bibliographical note

Funding Information:
The work of the first author was supported in part by NSF grant DMS-0411388 and the work of both authors by the Institute for Mathematics and its Applications.

Keywords

  • Elasticity
  • Finite element
  • Mixed method
  • Rectangular

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