Some Schwarz methods for symmetric and nonsymmetric elliptic problems

Olof B. Widlund

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper begins with an introduction to additive and multiplicative Schwarz methods. A two-level method is then reviewed and a new result on its rate of convergence is established for the case when the overlap is small. Recent results by Xuejun Zhang, on multi-level Schwarz methods, are formulated and discussed. The paper is concluded with a discussion of recent joint results with Xiao-Chuan Cai on nonsymmetric and indefinite problems.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods for Partial Differential Equations
PublisherPubl by Soc for Industrial & Applied Mathematics Publ
Pages19-36
Number of pages18
ISBN (Print)0898712882
StatePublished - 1992
EventFifth International Symposium on Domain Decomposition Methods for Partial Differential Equations - Norfolk, VA, USA
Duration: May 6 1991May 8 1991

Other

OtherFifth International Symposium on Domain Decomposition Methods for Partial Differential Equations
CityNorfolk, VA, USA
Period5/6/915/8/91

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Widlund, O. B. (1992). Some Schwarz methods for symmetric and nonsymmetric elliptic problems. In Domain Decomposition Methods for Partial Differential Equations (pp. 19-36). Publ by Soc for Industrial & Applied Mathematics Publ.

Some Schwarz methods for symmetric and nonsymmetric elliptic problems. / Widlund, Olof B.

Domain Decomposition Methods for Partial Differential Equations. Publ by Soc for Industrial & Applied Mathematics Publ, 1992. p. 19-36.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Widlund, OB 1992, Some Schwarz methods for symmetric and nonsymmetric elliptic problems. in Domain Decomposition Methods for Partial Differential Equations. Publ by Soc for Industrial & Applied Mathematics Publ, pp. 19-36, Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations, Norfolk, VA, USA, 5/6/91.
Widlund OB. Some Schwarz methods for symmetric and nonsymmetric elliptic problems. In Domain Decomposition Methods for Partial Differential Equations. Publ by Soc for Industrial & Applied Mathematics Publ. 1992. p. 19-36
Widlund, Olof B. / Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Domain Decomposition Methods for Partial Differential Equations. Publ by Soc for Industrial & Applied Mathematics Publ, 1992. pp. 19-36
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