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

Gaojie Chen () and Jinping Zeng ()

Mathematical Methods of Operations Research, 2008, vol. 67, issue 3, 455-469

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

Keywords: Generalized Schwarz algorithms; Variational inequalities; Elliptic operator; Obstacle problems (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s00186-007-0206-5

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