| 重调和方程的混合有限元的区域分解算法 |
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| 引用本文： | 王寿城,姚海波.重调和方程的混合有限元的区域分解算法[J].佳木斯大学学报,2009,27(1). |
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| 作者姓名： | 王寿城 姚海波 |
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| 作者单位： | 合肥工业大学数学系,安徽台肥,230009
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| 摘 要： | 主要考虑将区域分解算法应用于混合有限元方法的情形.基于Schwarz交替法,讨论了重调和方程的混合有限元格式的区域分解算法,证明了它的收敛性,利用区域分解技术,给出它的有限离散格式和预处理矩阵.本文表明基于Lions框架的Schwarz算法也适用于混合有限元.
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| 关 键 词： | 重调和方程 区域分解 Schwarz交替法 收敛性 预处理矩阵 |
Domain Decomposition Method of Mixed Finite Element Method on Biharmonic Equation |
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| WANG Shou-cheng,YAO Hai-bo.Domain Decomposition Method of Mixed Finite Element Method on Biharmonic Equation[J].Journal of Jiamusi University(Natural Science Edition),2009,27(1). |
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| Authors: | WANG Shou-cheng YAO Hai-bo |
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| Institution: | Department of Mathematics;Hefei University of Technology;Hefei 230009;China |
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| Abstract: | In this paper,the authors mainly consider applying domain decomposition method to non-normative finite element method which is called mixed finite element method.Based on Schwarz alternating method,the Domain decomposition method with mixed finite element method on biharmonic equation was discussed,and its convergence was proved.Using the technology of domain decomposition,the formula of mixed finite element method was given and its pre-process matrix was obtained.It is showed that Schwarz alternating metho... |
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| Keywords: | biharmonic equation domain decomposition Schwarz alternating method convergence pre-process matrix |
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