The use of wavelet-like basis functions in the finite element analysis of heterogeneous one dimensional regions

Author

Harrison, Lee A. ; Gordon, Richard K.

Author_Institution

Dept. of Electr. Eng., Mississippi Univ., MS, USA

fYear

1996

fDate

11-14 Apr 1996

Firstpage

301

Lastpage

304

Abstract

The paper presents the use of wavelet-like basis functions in the finite element analysis of heterogeneous one dimensional regions. The construction of the wavelet-like basis functions (a multiresolution analysis procedure) for these type regions is discussed. The condition numbers of the resulting matrices, along with the number of steps required for convergence of the conjugate gradient solution are presented. For comparison, results obtained from a finite element algorithm employing traditional basis functions are presented

Keywords

conjugate gradient methods; convergence of numerical methods; finite element analysis; matrix algebra; signal resolution; wavelet transforms; condition numbers; conjugate gradient solution; convergence; finite element algorithm; finite element analysis; heterogeneous one dimensional regions; matrices; multiresolution analysis; signal processing; wavelet-like basis functions; Computational electromagnetics; Convergence of numerical methods; Finite element methods; Frequency; Integral equations; Partial differential equations; Sampling methods; Signal analysis; Wavelet analysis; Wavelet domain;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon '96. Bringing Together Education, Science and Technology., Proceedings of the IEEE

Conference_Location

Tampa, FL

Print_ISBN

0-7803-3088-9

Type

conf

DOI

10.1109/SECON.1996.510079

Filename

510079