WETD - A FINITE-ELEMENT TIME-DOMAIN APPROACH FOR SOLVING MAXWELLS EQUATIONS

被引：79

作者：

LEE, JF

机构：

[1] ECE Department, Worcester Polytechnic Institute, Worcestei, MA

来源：

IEEE MICROWAVE AND GUIDED WAVE LETTERS | 1994年 / 4卷 / 01期

关键词：

D O I：

10.1109/75.267679

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A family of finite element time-domain methods, WETD(THETA), 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(THETA)) method of which the central and backward differences are special cases corresponding to THETA = 1 and THETA = 0, respectively.

引用

页码：11 / 13

页数：3