| On the Convergence Rate of a Space Decomposition Method |
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| 作者姓名： | Shu-zi Zhou Jinping Zeng Gui-hua Shan |
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| 作者单位： | Shu-zi Zhou，Jinping Zeng，Gui-hua ShanDepartment of Applied Mathematics，Hunan University，Changsha 410082，China |
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| 基金项目： | the National Natural Science Foundation of China (No.19771034). |
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| 摘 要： | Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposition method, which can be applied to some nonuniformly elliptic problems.
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On the Convergence Rate of a Space Decomposition Method |
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| Shu-zi Zhou,Jinping Zeng,Gui-hua Shan.On the Convergence Rate of a Space Decomposition Method[J].Acta Mathematicae Applicatae Sinica,2002,18(3):455-460. |
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| Authors: | Shu-zi Zhou Jinping Zeng Gui-hua Shan |
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| Institution: | (1) Department of Applied Mathematics, Hunan University, Changsha 410082, China (E-mail: szzhou@mail.hunu.cn; E-mail: aaabbbzeng@163.com), CN |
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| Abstract: | Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposition method, which can be applied to some nonuniformly elliptic problems. |
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| Keywords: | Nonlinear problem space decomposition method Schwarz algorithm geometrical convergence |
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