A best approximation evaluation of a finite element calculation
type: Item
instance of: scholarly article
title: A best approximation evaluation of a finite element calculation
zbMATH Open document ID: 0951.65107
DOI: 10.1016/S0024-3795(99)00175-5
author: Allen C. Robinson
author: Donald W. Robinson
published in: Linear Algebra and its Applications
publication date: 2000-06-07T00:00:00Z
review text: The authors discuss an electrostatics problem whose solution must in the set \(\Phi\) of all real \(n\times n\) symmetric matrices with all row sums equal to zero. With respect to the Frobenius norm, they provide an algorithm that finds the member of \(\Phi\) which is closest to any given \(n\times n\) matrix, and determines the distance between the two. This algorithm makes it practical to find the distances to \(\Phi\) of finite element approximate solutions of the electrostatics problem, and to reject those which are not sufficiently close.
reviewed by: Ziwen Jiang
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A30
zbMATH DE Number: 1419876
zbMATH Keywords: best approximation
zbMATH Keywords: matrix inversion
zbMATH Keywords: electrostatics
zbMATH Keywords: algorithm
zbMATH Keywords: finite element
MaRDI profile type: Publication
cites work: Q3254327
cites work: Matrix Analysis
full work available at URL: s0024-3795(99)00175-5
OpenAlex ID: W2143031091
description: scientific article; zbMATH DE number 1419876