| 非嵌套有限元的W循环多重网格方法 |
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| 引用本文： | 王鸣.非嵌套有限元的W循环多重网格方法[J].数学进展,1994,23(3):238-250. |
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| 作者姓名： | 王鸣 |
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| 作者单位： | 北京大学数学系 |
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| 摘 要： | 本文讨论了下述情形：１非嵌套网格；２曲边有限元；３非协调元；４拟协调元；５有限元的型函数有特殊性质，都能导致非嵌套的有限元空间．对一个包括上述情形的问题给出了非嵌套有限元的Ｗ循环多重网格方法，并证明了它的收敛性。
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| 关 键 词： | 有限元 多重网格法 非嵌套有限元 |
The W-Cycle Multigrid Method for Finite Elements with Nonnested Spaces |
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| Wang Ming.The W-Cycle Multigrid Method for Finite Elements with Nonnested Spaces[J].Advances in Mathematics,1994,23(3):238-250. |
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| Authors: | Wang Ming |
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| Abstract: | The Daper deals with the W- cycle multigrid methoda for finite elements in the case of nonnested spaces. Each of the following,1) nonnested meshes,2)curved boundary finite elements,3)nonconforming finite elements,4)quasi-conforming finite elements,5)the shape functions on the elements with special properties,will lead to the nonnested finite element spaces,A W-cycle multlgrid method for a general problem which includes all the above five cases as its special case is given and its convergence 19 shown. |
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| Keywords: | Partial differential equations of elliptic type boundary problem multi grid methods finite elements |
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