Error bounds for \(n\)-dimensional spline-interpolation in weight norms
type: Item
instance of: scholarly article
title: Error bounds for \(n\)-dimensional spline-interpolation in weight norms
zbMATH Open document ID: 0802.65105
author: M. R. Timerbaev
published in: Russian Mathematics
publication date: 1994-10-05T00:00:00Z
review text: We obtain bounds for the error of finite element interpolation in norms of the weighted Sobolev spaces with regard to condensation degree of finite elements near the singularities of interpolated functions. These bounds generalize well-known non-weighted bounds and are of interest for investigation of precision of schemes of the finite element method for elliptic boundary value problems with singularities stipulated by the geometry of the domain or by physical characteristics of the problem.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 640182
zbMATH Keywords: error bounds
zbMATH Keywords: finite element interpolation
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: finite element method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640182