Equidistributing principles in moving finite element methods
type: Item
instance of: scholarly article
title: Equidistributing principles in moving finite element methods
zbMATH Open document ID: 0532.65074
DOI: 10.1016/0377-0427(83)90009-2
author: N. E. Zubov
published in: Journal of Computational and Applied Mathematics
publication date: 1983-01-01T00:00:00Z
review text: This note consideres the moving finite element method based on a least squares principle and one using a Petrov-Galerkin approach. The authors compare this two methods. A common feature of both methods is that they move the nodes according to an approximate equidistributing principle though in the original derivation of the difference equations governing the movement of the nodes no equidistributing principle was used explicitly. The penalty function of K. Miller and his coworkers designed for the least squares method is shown to be convenient for using in the Petrov- Galerkin method too. Finally, numerical examples illustrating the performance of the two methods are given. The Petrov-Galerkin method gives a more accurate solution than the least squares one (with or without product approximation).
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3844977
zbMATH Keywords: placement of the nodes
zbMATH Keywords: Burgers' equation
zbMATH Keywords: equidistributing principle
zbMATH Keywords: comparison of method
zbMATH Keywords: moving finite element method
zbMATH Keywords: penalty function
zbMATH Keywords: least squares method
zbMATH Keywords: Petrov-Galerkin method
zbMATH Keywords: product approximation
MaRDI profile type: Publication
full work available at URL: 0377-0427(83)90009-2
OpenAlex ID: W2085267160
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description: scientific article; zbMATH DE number 3844977