Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/876
Title: Weak formulation of finite element method using wavelet basis functions
Authors: Ho, Siu-lau
Yang, Shiyou
Wong, Ho-ching Chris
Subjects: 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.
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.
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Type: Journal/Magazine Article
URI: http://hdl.handle.net/10397/876
DOI: 10.1109/20.952577
ISSN: 0018-9464
Appears in Collections:EE Journal/Magazine Articles
IC Journal/Magazine Articles

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