Differential-Forms-Motivated Discretizations of Electromagnetic Differential and Integral Equations

被引：12

作者：

Dai, Qi I. ^{[1
]}

Chew, Weng Cho ^{[1
]}

Jiang, Li Jun ^{[2
]}

Wu, Yumao ^{[3
]}

机构：

[1] Univ Illinois, Dept Elect & Comp Engn, Urbana, IL 61801 USA

[2] Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Hong Kong, Peoples R China

[3] Fudan Univ, Key Lab Informat Sci Electromagnet Waves MoE, Shanghai 200433, Peoples R China

来源：

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS | 2014年 / 13卷

基金：

美国国家科学基金会;

关键词：

Calderon projection; differential equations; differential forms; integral equations; variational analysis;

D O I：

10.1109/LAWP.2014.2332300

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：

In this letter, we present a differential-forms-motivated procedure to unify and guide discretizations of differential and integral equations in computational electromagnetics (CEM). In order to solve such equations accurately, it is crucial to find an appropriate matrix representation of the governing differential or integral operator. Differential forms theory inspires a general procedure of selecting both expansion and test functions wisely. Many well-functioning discretizations in finite element method (FEM) and boundary element method (BEM) can be reinterpreted with this theory. Moreoever, our approach offers guidance for discretizing complicated problems where straightforward discretizations may not be available.

引用

页码：1223 / 1226

页数：4

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