Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 12 Issue 2
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- Pages.69-79
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- 2008
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
MULTIGRID CONVERGENCE THEORY FOR FINITE ELEMENT/FINITE VOLUME METHOD FOR ELLIPTIC PROBLEMS:A SURVEY
- Kwak, Do-Y. (Department of Mathematical Sciences, KAIST)
- Received : 2008.01.18
- Published : 2008.06.25
Abstract
Multigrid methods finite element/finite volume methods and their convergence properties are reviewed in a general setting. Some early theoretical results in simple finite element methods in variational setting method are given and extension to nonnested-noninherited forms are presented. Finally, the parallel theory for nonconforming element[13] and for cell centered finite difference methods [15, 23] are discussed.