Convergence Rate of a Generalized Additive Schwarz Algorithm

Convergence Rate of a Generalized Additive Schwarz Algorithm

Year:    2006

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 5 : pp. 635–646

Abstract

The convergence rate of a generalized additive Schwarz algorithm for solving boundary value problems of elliptic partial differential equations is studied. A quantitative analysis of the convergence rate is given for the model Dirichlet problem. It will be shown that a greater acceleration of the algorithm can be obtained by choosing the parameter suitably. Some numerical tests are also presented in this paper.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8779

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 5 : pp. 635–646

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Schwarz additive algorithm Convergence rate Dirichlet problem.