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 - Dec 1 1992
EventFifth International Symposium on Domain Decomposition Methods for Partial Differential Equations - Norfolk, VA, USA
Duration: May 6 1991May 8 1991

Publication series

NameDomain Decomposition Methods for Partial Differential Equations

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). (Domain Decomposition Methods for Partial Differential Equations). Publ by Soc for Industrial & Applied Mathematics Publ.