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Title: Weak formulation of finite element method using wavelet basis functions
Authors: Ho, SL 
Yang, S
Wong, HCC
Keywords: Connection coefficients
Galerkin approach
Wavelet bases
Wavelet-Galerkin method
Weak form
Issue Date: Sep-2001
Publisher: IEEE
Source: IEEE transactions on magnetics, Sept. 2001, v. 37, no. 5, p. 3203-3207 How to cite?
Journal: IEEE transactions on magnetics 
Abstract: 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 are involved in the connection coefficients. Various approaches to deal with essential boundary and interface conditions are investigated, and algorithms to compute the associated connection coefficients are derived. To validate the proposed method, two numerical examples are described.
ISSN: 0018-9464
DOI: 10.1109/20.952577
Rights: © 2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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