A new Korn's type inequality for thin domains and its application to iterative methods
type: Item
instance of: scholarly article
title: A new Korn's type inequality for thin domains and its application to iterative methods
zbMATH Open document ID: 0881.73135
DOI: 10.1016/S0045-7825(96)01135-8
author: Evgueni Ovtchinnikov
author: Leonidas S. Xanthis
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1998-02-25T00:00:00Z
review text: We present a new Korn's type inequality which estimates the ratio of the energy norm to the Sobolev norm in a given subspace in terms of the angle which it forms with an explicitly extracted finite-dimensional subspace. This inequality provides crucial information for improving the convergence of various iterative algorithms for elasticity problems in this domains. This is demonstrated in the case of the semi-discrete iterative algorithm EDRA.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 1057451
zbMATH Keywords: energy norm
zbMATH Keywords: Sobolev norm
zbMATH Keywords: convergence
zbMATH Keywords: semi-discrete iterative algorithm EDRA
MaRDI profile type: Publication
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full work available at URL: s0045-7825(96)01135-8
OpenAlex ID: W2119241016
description: scientific article; zbMATH DE number 1057451