Moving mesh methods with upwinding schemes for time-dependent PDEs
type: Item
instance of: scholarly article
title: Moving mesh methods with upwinding schemes for time-dependent PDEs
zbMATH Open document ID: 0870.65076
author: Shengtai Li
author: Linda Petzold
published in: Journal of Computational Physics
publication date: 1997-07-28T00:00:00Z
review text: A combination of moving meshes and upwinding schemes is considered for tracking the shock or steep wave front in the solution of partial differential equations. Several upwinding schemes are applied for uniform meshes. A self-adapting moving mesh method is also described. It is shown that the local piecewise hyperbolic method is very efficient and accurate when combined with a moving mesh strategy.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 994010
zbMATH Keywords: moving mesh methods
zbMATH Keywords: conservation laws
zbMATH Keywords: upwinding schemes
zbMATH Keywords: shock
zbMATH Keywords: wave front
reviewed by: Plamen Yalamov
describes a project that uses: nag
describes a project that uses: DASSL
MaRDI profile type: Publication
OpenAlex ID: W2119683836
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DOI: 10.1006/JCPH.1996.5611
description: scientific article; zbMATH DE number 994010