Utilization of wavelet concepts into the finite element method for efficient solution of Maxwell´s equations

Author

Castillo, Luis Emillo Garcia ; Sarkar, Tapan K. ; Palma, Magdalena Salazar

Author_Institution

Grupo Microondas y Radar Dpto. Se??ales, Sistemas y Radiocomunicaciones. E.T.S.I. Telecomunicaci??n. Universidad Polit??cnica de Madrid, Ciudad Universitaria s/n. Madrid 28040. Spain.

fYear

1993

fDate

6-10 Sept. 1993

Firstpage

125

Lastpage

128

Abstract

The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject tor performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.

Keywords

Boundary conditions; Differential equations; Eigenvalues and eigenfunctions; Finite difference methods; Finite element methods; Matrix decomposition; Maxwell equations; Poisson equations; Sparse matrices; Telecommunications;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 1993. 23rd European

Conference_Location

Madrid, Spain

Type

conf

DOI

10.1109/EUMA.1993.336809

Filename

4136547