Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
type: Item
instance of: scholarly article
title: Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
zbMATH Open document ID: 0818.65113
author: P. I. Crumpton
author: G. J. Shaw
author: Antony Ware
published in: Journal of Computational Physics
publication date: 1995-04-05T00:00:00Z
review text: A new conservative cell centered finite volume method is considered for the accurate solution of elliptic diffusion equations with strongly varying coefficients. Such problems arise in oil reservoir simulation when renormalisation techniques are used to model the reservoir geology. A multigrid scheme based on that of \textit{P. Wesseling} [J. Comput. Phys. 79, No. 1, 85-91 (1988; Zbl 0658.65095)] is applied to the resulting algebraic system, showing that a rapid mesh independent convergence rate may be obtained for problems of this type. A series of test problems demonstrates the efficiency of the multigrid procedure in comparison to single grid methods.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 740635
zbMATH Keywords: strongly discontinuous coefficients
zbMATH Keywords: conservative cell centered finite volume method
zbMATH Keywords: elliptic diffusion equations
zbMATH Keywords: oil reservoir simulation
zbMATH Keywords: renormalisation
zbMATH Keywords: multigrid scheme
zbMATH Keywords: convergence
zbMATH Keywords: test problems
reviewed by: L.Sh.Ioffe
MaRDI profile type: Publication
full work available at URL: jcph.1995.1032
OpenAlex ID: W1990151408
DOI: 10.1006/JCPH.1995.1032
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description: scientific article; zbMATH DE number 740635