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Multigrid solution and grid redistribution for convection–diffusion
Author(s) -
Carey G. F.,
Pardhanani A.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620270315
Subject(s) - multigrid method , grid , mathematics , convection , computer science , diagonal , convection–diffusion equation , mathematical optimization , context (archaeology) , redistribution (election) , mechanics , geometry , mathematical analysis , partial differential equation , physics , geology , paleontology , politics , political science , law
We examine multigrid solution for convection–diffusion problems in which convective effects are significant. In particular, we consider the case where the fine grid satisfies the associated cell or diagonal dominance condition but coarse grid levels violate this condition. Related numerical experiments are conducted. We also introduce an alternative local elliptic projection technique and compare this with interpolating the error corrections from coarse to fine grids. In addition, we demonstrate the use of grid redistribution and optimization techniques in the multilevel context.