L-error estimates for linear elasticity problems

Research output: Contribution to journalArticle

Abstract

Two-dimensional linear elasticity problems are approximately solved by a mixed finite-element method based on Raviart-Thomas-Nedelec spaces; maximum-norm error estimates of optimal rate and almost optimal regularity are derived for the displacement field, and of optimal regularity and almost optimal rate for the stress tensor. The superconvergence of the approximate displacement field to the L2-projection of the actual one is established.

Original languageEnglish (US)
Pages (from-to)305-313
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume25
Issue number3
DOIs
StatePublished - 1989
Externally publishedYes

Fingerprint

Optimal Rates
Elasticity Problem
Linear Elasticity
Tensors
Error Estimates
Elasticity
Regularity
Finite element method
Maximum Norm
Superconvergence
Mixed Finite Element Method
Stress Tensor
Projection

Keywords

  • L-error
  • plane elasticity

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

L-error estimates for linear elasticity problems. / Milner, Fabio.

In: Journal of Computational and Applied Mathematics, Vol. 25, No. 3, 1989, p. 305-313.

Research output: Contribution to journalArticle

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