Abstract
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. © 2014 IEEE.
Recommended Citation
Q. I. Dai et al., "Differential-forms-motivated Discretizations Of Electromagnetic Differential And Integral Equations," IEEE Antennas and Wireless Propagation Letters, vol. 13, pp. 1223 - 1226, article no. 6841000, Institute of Electrical and Electronics Engineers, Jan 2014.
The definitive version is available at https://doi.org/10.1109/LAWP.2014.2332300
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Calderon projection; differential equations; differential forms; integral equations; variational analysis
International Standard Serial Number (ISSN)
1536-1225
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 2014
