L∞-error estimates for linear elasticity problems

Fabio A. Milner

doi:10.1016/0377-0427(89)90034-4

L^∞-error estimates for linear elasticity problems

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

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 language	English (US)
Pages (from-to)	305-313
Number of pages	9
Journal	Journal of Computational and Applied Mathematics
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/0377-0427(89)90034-4
State	Published - May 1989
Externally published	Yes

Keywords

L-error
plane elasticity

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/0377-0427(89)90034-4

Cite this

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title = "L∞-error estimates for linear elasticity problems",

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.",

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AB - 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.

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