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On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators

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  • Gaojie Chen
  • Jinping Zeng

Abstract

In this paper, multiplicative and additive generalized Schwarz algorithms for solving obstacle problems with elliptic operators are developed and analyzed. Compared with the classical Schwarz algorithms, in which the subproblems are coupled by the Dirichlet boundary conditions, the generalized Schwarz algorithms use Robin conditions with parameters as the transmission conditions on the interface boundaries. As a result, the convergence rate can be speeded up by choosing Robin parameters properly. Convergence of the algorithms is established. Copyright Springer-Verlag 2008

Suggested Citation

  • Gaojie Chen & Jinping Zeng, 2008. "On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(3), pages 455-469, June.
    • Handle: RePEc:spr:mathme:v:67:y:2008:i:3:p:455-469
    DOI: 10.1007/s00186-007-0206-5
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