The Finite Element Method Based on Interpolating With Wavelet Basis Function

Luo Shaoming; Zhang Xiangwei

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Luo Shaoming, Zhang Xiangwei. The Finite Element Method Based on Interpolating With Wavelet Basis Function[J]. Applied Mathematics and Mechanics, 2000, (1): 11-16.

Citation:

Luo Shaoming, Zhang Xiangwei. The Finite Element Method Based on Interpolating With Wavelet Basis Function[J]. Applied Mathematics and Mechanics, 2000, (1): 11-16.

Citation:

Luo Shaoming, Zhang Xiangwei. The Finite Element Method Based on Interpolating With Wavelet Basis Function[J]. Applied Mathematics and Mechanics, 2000, (1): 11-16.

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The Finite Element Method Based on Interpolating With Wavelet Basis Function

Shantou University, Shantou, Guangdong 515063, P R China

Received Date: 1998-09-02
Rev Recd Date: 1999-10-30
Publish Date: 2000-01-15

Abstract

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.
- wavelet analysis,
- finite element method,
- nonconforming analysis

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References(6)

References

[1]	Ortiz M,Leory Y,Needleman A.Afinite element method forlocalized failure analysis[J].ComputMethods Appl Mech Engrg,1987,61(2):189～214.
[2]	Belyschko T,Fish J,Bayliss A.The spectral overlay on finite elements for problems with highgradients[J].Comput Methods Appl Mech Engrg,1990,81(1):71～89.
[3]	Daubechies I.Orthonormal bases of compactly supported wavelets[J].Pure Appl Math,1988,12(7):909～996.
[4]	Daubechies I.Orthonormal bases of compactly supported wavelets Ⅱ:variations on atheme[J].SIAM JMath,1993,24(4):499～519.
[5]	刘贵忠,邸双亮.小波分析及其应用[M].西安:西安电子科技大学出版社,1992.
[6]	吴长春,卞学璜.非协调数值分析与杂交元方法[M].北京:科学出版社,1997.