Comparison of V-cycle multigrid method for cell-centered finite difference on triangular meshes

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We consider a multigrid algorithm (MG) for the cell centered finite difference scheme (CCFD) on general triangular meshes using a new prolongation operator. This prolongation is designed to solve the diffusion equation with strongly discontinuous coefficient as well as with smooth one. We compare our new prolongation with the natural injection and the weighted operator in Kwak, Kwon, and Lee (Appl Math Comput 21 (1999), 552-564) and the behaviors of these three prolongation are discussed. Numerical experiments show that (i) for smooth problems, the multigrid with our new prolongation is fastest, the next is the weighted prolongation, and the third is the natural injection; and (ii) for nonsmooth problems, our new prolongation is again fastest, the next is the natural injection, and the third is the weighted prolongation. In conclusion, our new prolongation works better than the natural injection and the weighted operator for both smooth and nonsmooth problems. (C) 2006 Wiley Periodicals, Inc.
Publisher
JOHN WILEY SONS INC
Issue Date
2006-09
Language
English
Article Type
Article
Keywords

ALGORITHMS

Citation

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, v.22, no.5, pp.1080 - 1089

ISSN
0749-159X
DOI
10.1002/num.20138
URI
http://hdl.handle.net/10203/21000
Appears in Collection
MA-Journal Papers(저널논문)
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