The numerical solution of elliptic free boundary problems using multigrid techniques
type: Item
instance of: scholarly article
title: The numerical solution of elliptic free boundary problems using multigrid techniques
zbMATH Open document ID: 0595.65128
DOI: 10.1016/0021-9991(86)90217-2
author: Roland Hunt
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: The article deals with the multigrid V-cycle finite difference method for second order linear elliptic equations with a free part of the boundary. The domain is supposed to allow a smooth mapping on a rectangle with one side corresponding to the free boundary condition. For the numerical solution the problem is rewritten for this rectangle. Nonlinear finite difference equations defined on the given grid and the free boundary are suggested to be solved simultaneously using relaxation along one system of grid lines with a single Newton iteration. Numerical results for three test problems are described.
reviewed by: Vladimir D. Korneev
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 3958660
zbMATH Keywords: multigrid algorithm
zbMATH Keywords: free boundary
zbMATH Keywords: multigrid V cycle
zbMATH Keywords: relaxation
zbMATH Keywords: Newton iteration
zbMATH Keywords: Poisson problem
zbMATH Keywords: heat transfer
zbMATH Keywords: electrochemical
zbMATH Keywords: machining
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90217-2
OpenAlex ID: W2044798799
cites work: Q4048802
cites work: Multi-Level Adaptive Solutions to Boundary-Value Problems
cites work: Multigrid methods II. Proceedings of the 2nd European Conference on Multigrid Methods held at Cologne (Federal Republic of Germany), October 1-4, 1985
cites work: An Application of the Method of Lines to Multidimensional Free Boundary Problems
cites work: Numerical solution of a free boundary problem by continuation
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description: scientific article; zbMATH DE number 3958660