\(L^{\infty}\)-error estimates for linear elasticity problems
type: Item
instance of: scholarly article
title: \(L^{\infty}\)-error estimates for linear elasticity problems
zbMATH Open document ID: 0691.73031
DOI: 10.1016/0377-0427(89)90034-4
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: (From author's summary.) The author has approximately solved two- dimensional linear elasticity problems using 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 super-convergence of the approximate displacement field to the \(L^ 2\)-projection of the actual one is established.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4131754
zbMATH Keywords: L(sup infinity)-error
zbMATH Keywords: L(sup 2)-projection
zbMATH Keywords: two-dimensional linear elasticity problems
zbMATH Keywords: mixed finite-element method
zbMATH Keywords: Raviart-Thomas-Nedelec spaces
zbMATH Keywords: maximum-norm error estimates
zbMATH Keywords: optimal rate
zbMATH Keywords: almost optimal regularity
zbMATH Keywords: displacement field
zbMATH Keywords: super-convergence
author: F. A. Milner
reviewed by: Prem Narain
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90034-4
OpenAlex ID: W2127350537
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description: scientific article; zbMATH DE number 4131754