Multigrid methods for 3-D definite and indefinite problems
type: Item
instance of: scholarly article
title: Multigrid methods for 3-D definite and indefinite problems
zbMATH Open document ID: 0894.65060
DOI: 10.1016/S0168-9274(97)00070-6
author: Yair Shapira
published in: Applied Numerical Mathematics
publication date: 1998-08-16T00:00:00Z
review text: A multigrid method for certain finite difference and finite volume schemes for elliptic partial differential equations is introduced. A parallelizable version is also defined and serves as a theoretical tool for deriving suitable implementations. For indefinite problems, this analysis provides a prediction of a suitable mesh for the coarsest grid. Numerical experiments show the efficiency for 3D diffusion problems with discontinuous coefficients and highly indefinite Helmholtz equations.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1133187
zbMATH Keywords: parallel computation
zbMATH Keywords: multigrid method
zbMATH Keywords: finite difference
zbMATH Keywords: finite volume
zbMATH Keywords: indefinite problems
zbMATH Keywords: numerical experiments
zbMATH Keywords: diffusion problems
zbMATH Keywords: Helmholtz equations
reviewed by: Wilhelm Heinrichs
describes a project that uses: CGS
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1133187