THE FINITE ELEMENT METHOD BASED ON INTERPOLATING WITH WAVELET BASIS FUNCTION

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.

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

2010 MSC Number:

O242.21

Luo Shaoming;Zhang Xiangwei. THE FINITE ELEMENT METHOD BASED ON INTERPOLATING WITH WAVELET BASIS FUNCTION. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 13-18.

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THE FINITE ELEMENT METHOD BASED ON INTERPOLATING WITH WAVELET BASIS FUNCTION

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