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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (1): 13-18.

• 论文 • 上一篇    下一篇

THE FINITE ELEMENT METHOD BASED ON INTERPOLATING WITH WAVELET BASIS FUNCTION

骆少明, 张湘伟   

  1. Shantou University, Shantou, 515063, P R China
  • 收稿日期:1998-09-23 修回日期:1999-10-30 出版日期:2000-01-18 发布日期:2000-01-18

THE FINITE ELEMENT METHOD BASED ON INTERPOLATING WITH WAVELET BASIS FUNCTION

Luo Shaoming, Zhang Xiangwei   

  1. Shantou University, Shantou, 515063, P R China
  • Received:1998-09-23 Revised:1999-10-30 Online:2000-01-18 Published:2000-01-18

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814

被引次数

9

摘要： The 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. The 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 forward.

关键词: wavelet analysis, finite element method, nonconforming analysis

Abstract: The 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. The 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 forward.

Key words: wavelet analysis, finite element method, nonconforming analysis

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