The finite element method based on interpolating with wavelet basis function

被引：0
|
作者：
Shaoming L. [1 ]
Xiangwei Z. [1 ]
机构：
[1] Shantou University
来源：
Applied Mathematics and Mechanics | 2000年 / 21卷 / 1期
关键词：
Finite element method; Nonconforming analysis; Wavelet analysis;
D O I：
10.1007/BF02458534
中图分类号：
学科分类号：
摘要：
Tlie compactly supported wavelet basis functions are introduced into the construction of interpolating function of traditional finite element method when analyzing the problems with high gradient, and the traditional interpolating method is modified. The numerical stability of the new interpolating pattern is discussed and the convergence of the new method is also discussed by patch test analysis. Tlie additional freedom of the new interpolating pattern is eliminated by static condensation method. Finally, the wavelet finite element formulations based on variational principles are put fonvard.
引用
收藏
页码：13 / 18
页数：5
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