On the convergence of difference schemes for the third boundary value problem of elasticity theory.
type: Item
instance of: scholarly article
title: On the convergence of difference schemes for the third boundary value problem of elasticity theory.
zbMATH Open document ID: 1114.74501
author: G. K. Berikelashvil
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: The main results include some convergence rate estimates in the mesh \(W_2^1\)-norm for the difference solution to the third boundary value problem of elasticity theory under the assumption that the coefficients of the source problem and its solution belong to Sobolev spaces. The estimate of the approximation error is based on the well-know technique that employs the generalized Bramble-Hilbert lemma.
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74G15
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 1940623
zbMATH Keywords: static elasticity
zbMATH Keywords: difference schemes
zbMATH Keywords: third boundary value problem
zbMATH Keywords: convergence rate
zbMATH Keywords: estimates
zbMATH Keywords: solution
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1940623