Weak formulation of finite element method using wavelet basis functions

Siu Lau Ho, Shiyou Yang, H. C. Wong

Research output: Journal article publicationConference articleAcademic researchpeer-review

10 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)3203-3207
Number of pages5
JournalIEEE Transactions on Magnetics
Volume37
Issue number5 I
DOIs
Publication statusPublished - 1 Sep 2001
EventNinth Biennial Electromagnetic Field Computation (CEFC) - Milwaukee, WI, United States
Duration: 4 Jun 20017 Jun 2001

Keywords

  • Connection coefficients
  • Galerkin approach
  • Wavelet bases
  • Wavelet-Galerkin method
  • Weak form

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Physics and Astronomy (miscellaneous)

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