Multigrid algorithms for nonconforming and mixed methods for nonsymmetric and indefinite problems

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In this paper we consider multigrid algorithms for nonconforming and mixed finite element methods for nonsymmetric and/or indefinite elliptic problems. We show that a simple V-cycle multigrid iteration using conforming coarse-grid corrections converges at a uniform rate provided that the coarsest level in the multilevel iteration is sufficiently fine (but independent of the number of multigrid levels). Various types of smoothers for the nonsymmetric and indefinite problems are discussed. Extensive numerical results are presented.
Publisher
SIAM PUBLICATIONS
Issue Date
1998-03
Language
English
Article Type
Article
Keywords

FINITE-ELEMENT METHODS; 2ND-ORDER ELLIPTIC PROBLEMS; RITZ-GALERKIN METHODS; IMPLEMENTATION; FORMS

Citation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.19, no.2, pp.502 - 515

ISSN
1064-8275
URI
http://hdl.handle.net/10203/71063
Appears in Collection
MA-Journal Papers(저널논문)
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