| 基于多重网格分层四边形单元有限元空间的预处理方法 |
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| 引用本文： | 陈明飞. 基于多重网格分层四边形单元有限元空间的预处理方法[J]. 浙江大学学报(理学版), 1993, 20(4): 381-388 |
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| 作者姓名： | 陈明飞 |
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| 作者单位： | 杭州大学数学系 |
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| 基金项目： | 浙江省自然科学基金资助课题 |
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| 摘 要： | 用有限元方法解二阶问题时,常选用三角单元和四边形单元.对于基于三角形单元的有限元方程,采用多重网格分层函数的预处理方法,Yserentant,H.已作了详细的讨论.本文对基于四边形单元的有限元方程,采用类似于Yserentant,H.的多重网格分层函数的预处理方法,使得系数矩阵的条件数由原来的O((1/h)~2)缩小为O((log(1/h)~3).
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| 关 键 词： | 多重网格分层 四边形 有限元法 |
The Preconditioner Based on the Multi-level Splitting of the quadrilateral Finite Element Space |
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| Chen Mingfei. The Preconditioner Based on the Multi-level Splitting of the quadrilateral Finite Element Space[J]. Journal of Zhejiang University(Sciences Edition), 1993, 20(4): 381-388 |
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| Authors: | Chen Mingfei |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The preconditioner based on the multi-level splitting of triangular finite element space is studied by H. Yserentant [1,2,3], In this paper, we derive and analyse the preconditioner based on the multilevel splitting of the quadrilateral finite element space for the plane elliptic boundary value problems of second order. We show that the condition number of stiffness matrix behaves like O((log(1/h)3) by using the preconditioner instead of O((1/h)2) for not using the preconditioner . |
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| Keywords: | finite element methed multi-level splitting of the Quadrilateral preconditioner. |
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