Adaptive mesh refinement in boundary value problems for linear ODE systems
type: Item
instance of: scholarly article
title: Adaptive mesh refinement in boundary value problems for linear ODE systems
zbMATH Open document ID: 1004.65083
author: E. S. Nikolaev
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2002-10-21T00:00:00Z
review text: A class of boundary value problems for symmetric systems of 2nd order linear ordinary differential equations (ODEs) is considered. For finding its approximate solution the author constructs a variant of the finite element method based on adaptive mesh refinement with piecewise-linear basis functions. The method does not require any information on the solution singularities and allows to start the computation with a mesh containing only one inner node. The advantage of this approach in comparison with the uniform mesh refinement is that the number of nodes and the computation time can be essentially reduced.
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 1818140
zbMATH Keywords: boundary value problem
zbMATH Keywords: uniform mesh refinement
zbMATH Keywords: adaptive mesh refinement
zbMATH Keywords: symmetric systems
zbMATH Keywords: finite element method
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1818140