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Volume 24, Issue 5
Convergence Rate of a Generalized Additive Schwarz Algorithm

Jin-ping Zeng & Gao-jie Chen

J. Comp. Math., 24 (2006), pp. 635-646.

Published online: 2006-10

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  • 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.

  • Keywords

Schwarz additive algorithm, Convergence rate, Dirichlet problem.

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-635, author = {Jin-ping Zeng and Gao-jie Chen}, title = {Convergence Rate of a Generalized Additive Schwarz Algorithm}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8779.html} }
TY - JOUR T1 - Convergence Rate of a Generalized Additive Schwarz Algorithm AU - Jin-ping Zeng & Gao-jie Chen JO - Journal of Computational Mathematics VL - 5 SP - 635 EP - 646 PY - 2006 DA - 2006/10 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8779.html KW - Schwarz additive algorithm, Convergence rate, Dirichlet problem. AB -

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.

Jin-ping Zeng and Gao-jie Chen. (2006). Convergence Rate of a Generalized Additive Schwarz Algorithm. Journal of Computational Mathematics. 24 (5). 635-646. doi:
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