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

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

doi:10.1007/s10915-004-4134-8

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

66 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 language	English (US)
Pages (from-to)	25-45
Number of pages	21
Journal	Journal of Scientific Computing
Volume	22-23
DOIs	https://doi.org/10.1007/s10915-004-4134-8
State	Published - 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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AU - Marini, L. Donatella

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AB - 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.

KW - Discontinuous Galerkin

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

Abstract

Bibliographical note

Keywords

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