A family of Discontinuous Galerkin finite elements for the Reissner-Mindlin plate

Douglas N. Arnold, Franco Brezzi, L. Donatella Marini

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55 Scopus citations

Abstract

We develop a family of locking-free elements for the Reissner-Mindlin plate using Discontinuous Galerkin (DG) techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.

Original languageEnglish (US)
Pages (from-to)25-45
Number of pages21
JournalJournal of Scientific Computing
Volume22-23
DOIs
StatePublished - Jan 2005

Bibliographical note

Funding Information:
D. N. Arnold is supported by NSF Grant DMS-0107233 and F. Brezzi and L. D. Marini are partially supported by Italian government Grant PRIN 2001.

Keywords

  • Discontinuous Galerkin
  • Locking-free finite elements
  • Reissner-Mindlin plates

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