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。
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.
出处
《数学进展》
CSCD
北大核心
1994年第3期238-250,共13页
Advances in Mathematics（China）
关键词
有限元
多重网格法
非嵌套有限元
Partial differential equations of elliptic type
boundary problem
multi grid methods
finite elements
