منابع مشابه
Wavelet - Based Finitte Element Method
INTRODUCTION The finite element method (FEM) is a numerical technique to obtain an approximate solution of partial differential equations. Mathematical models of many engineering problems can be expressed as partial differential equations that do not have a closed formed solution and therefore require a numerical solution procedure. The FEM approximation requires the discretization of the probl...
متن کاملBiorthogonal wavelet bases for the boundary element method
As shown by Dahmen, Harbrecht and Schneider [7, 23, 32], the fully discrete wavelet Galerkin scheme for boundary integral equations scales linearly with the number of unknowns without compromising the accuracy of the underlying Galerkin scheme. The supposition is a wavelet basis with a sufficiently large number of vanishing moments. In this paper we present several constructions of appropriate ...
متن کاملWeak Formulation of Finite Element Method Using Wavelet Basis Functions
This paper details the development of the weak form formulations of finite element type methods using wavelets as basis functions. Such approaches are different from most wavelets based ones that are derived from the strong form. The advantages of the proposed formulation are that there is no need to enforce natural boundary conditions and that the lower order derivatives of the wavelet bases a...
متن کاملIdentification of Multi-cracks in the Gate Rotor Shaft Based on the Wavelet Finite Element Method
In order to have fault identification for the gate rotor shaft with multiple cracks effectively, the quantity identification method of the gate rotor shaft with multiple cracks based on wavelet finite element method is established and the frequency test of the gate rotor shaft based on blind source separation algorithm is analyzed. Firstly the wavelet finite element was established by combining...
متن کاملOn the Block Wavelet Transform Applied to the Boundary Element Method
Element Method Henrique F. Bucher, Luiz C. Wrobel, Webe J. Mansur and Carlos Magluta Center For Computational Research, State University of New York at Buffalo, 9 Norton Hall, UB North Campus, Buffalo, NY, 14260, USA ([email protected]) 2 Department of Mechanical Engineering, Brunel University, Uxbridge UB8 3PH, Middlesex, UK ([email protected]) Department of Civil Engineering, COPPE/F...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1999
ISSN: 1063-5203
DOI: 10.1006/acha.1997.0242