An iterative grid redistribution method for singular problems in multiple dimensions
type: Item
instance of: scholarly article
title: An iterative grid redistribution method for singular problems in multiple dimensions
zbMATH Open document ID: 0959.65129
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 2000-11-23T00:00:00Z
review text: The authors introduce an iterative grid redistribution method for solving partial differential equations in multiple dimensions and with singularities. The method is based on the variational approach. The key ingredient of such adaptative methods is the grid generation rule and whether it is possible to determine an optimal coordinate mapping. Numerical examples are given. For instance, the authors treat the nonlinear Schrödinger equation where solutions with multiple blowup points can be solved up to times very close to the blowup time.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1443371
zbMATH Keywords: singular problems
zbMATH Keywords: variational method
zbMATH Keywords: numerical examples
zbMATH Keywords: iterative grid redistribution method
zbMATH Keywords: nonlinear Schrödinger equation
reviewed by: Yves Cherruault
MaRDI profile type: Publication
OpenAlex ID: W2042921302
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DOI: 10.1006/JCPH.2000.6435
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description: scientific article; zbMATH DE number 1443371