On the stability of mesh equidistribution strategies for time-dependent partial differential equations
type: Item
instance of: scholarly article
title: On the stability of mesh equidistribution strategies for time-dependent partial differential equations
zbMATH Open document ID: 0579.65122
DOI: 10.1016/0021-9991(86)90098-7
author: J. Michael Coyle
author: J. E. Flaherty
author: Raymond Ludwig
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: One common strategy for selecting a moving mesh for a time-dependent partial differential equation is the equidistribution at each fixed time of a linear functional of the computed solution. In this paper a linear stability analysis is performed for several such equidistributed schemes, and the observed instabilities of some of them are explained. Furthermore, it is shown that the price of stability of the equidistribution scheme may be an increase of the stiffness of the system.
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 3928291
zbMATH Keywords: moving mesh
zbMATH Keywords: linear stability analysis
zbMATH Keywords: equidistributed schemes
zbMATH Keywords: instabilities
zbMATH Keywords: stiffness
describes a project that uses: COLSYS
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90098-7
OpenAlex ID: W2077605706
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description: scientific article; zbMATH DE number 3928291