Singularly perturbed finite element methods
type: Item
instance of: scholarly article
title: Singularly perturbed finite element methods
zbMATH Open document ID: 0569.65065
DOI: 10.1007/BF01405573
author: Eugene O'Riordan
published in: Numerische Mathematik
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/132947
review text: The paper deals with the approximation of singularly perturbed ordinary differential equations by new piecewise linear finite elements (hinged elements). The purpose of introducing one or more hinges into a standard element is to allow the element to modify itself as the perturbation parameter \(\epsilon\) changes. As a result, pointwise and global error estimates (independent of \(\epsilon)\) are presented.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3909669
zbMATH Keywords: piecewise linear finite elements
zbMATH Keywords: hinged elements
zbMATH Keywords: perturbation parameter
zbMATH Keywords: pointwise and global error estimates
MaRDI profile type: Publication
cites work: An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
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cites work: Q3862348
cites work: Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
OpenAlex ID: W2067860912
description: scientific article; zbMATH DE number 3909669