The method of subspace corrections

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39 Scopus citations


This paper gives an overview for the method of subspace corrections. The method is first motivated by a discussion on the local behavior of high-frequency components in a solution to an elliptic problem. A simple domain decomposition method is discussed as an illustrative example and multigrid methods are discussed in more detail. Brief discussion are also given to some non-linear examples including eigenvalue problems, obstacle problems and liquid crystal modelings. The relationship between the method of subspace correction and the method of alternating projects is observed and discussed. © 2001 Elsevier Science B.V. All rights reserved.
Original languageEnglish (US)
Pages (from-to)335-362
Number of pages28
JournalJournal of Computational and Applied Mathematics
Issue number1-2
StatePublished - Mar 1 2001
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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