WETD - a finite element time-domain approach for solving Maxwell´s equations

Author

Lee, Jin-Fa

Author_Institution

ECE Dept., Worcester Polytech. Inst., MA, USA

Volume

4

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

11

Lastpage

13

Abstract

A family of finite element time-domain methods, WETD(Θ), is derived to solve the time-varying Maxwell´s equations. The proposed methodology is based upon the application of the Faedo-Galerkin procedure and the use of the Whitney 1-forms as bases to result in an ordinary differential equation in time for the electric field. Moreover, the resultant ordinary differential equation is solved by employing central and/or backward difference approximations. Since the WETD methods presented here are used in conjunction with tetrahedral finite element meshes, it imposes no limitations on the problem geometry. Also, in this contribution, a general stability condition has been derived for the WETD(Θ) method of which the central and backward differences are special cases corresponding to Θ=1 and Θ=0, respectively

Keywords

Maxwell equations; convergence of numerical methods; differential equations; finite element analysis; time-domain analysis; Faedo-Galerkin procedure; WETD; Whitney 1-forms; Whitney element time domain method; difference approximations; electric field; finite element time-domain approach; ordinary differential equation; stability condition; tetrahedral finite element meshes; time-varying Maxwell equations; Differential equations; Finite difference methods; Finite element methods; Geometry; Helium; Maxwell equations; Stability; Testing; Time domain analysis; Time varying systems;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.267679

Filename

267679