Differential forms inspired finite element discretization for waveguide eigenvalue problems

Qi I. Dai, Weng Cho Chew, Lijun Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A differential forms inspired finite element based discretization scheme for waveguide eigenvalue problems is presented. Naïve discretization of the governing variational expression involving only transverse fields with edge elements renders the discretized eigen-equation unsolvable. Motivated by differential forms, in the proposed scheme, electric and magnetic fields are discretized with curl-conforming basis functions on the primal and dual grids, respectively. Meanwhile, magnetic flux density and electric displacement fields are discretized with divergence-conforming basis functions on the primal and dual grids, respectively. Matrices in the resultant eigen-equation is well-conditioned and easy to solve, which is validated by several numerical examples.

Original languageEnglish (US)
Title of host publication2014 IEEE Antennas and Propagation Society International Symposium(APSURSI)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2242-2243
Number of pages2
ISBN (Electronic)9781479935406
DOIs
StatePublished - Sep 18 2014
Externally publishedYes
Event2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014 - Memphis, United States
Duration: Jul 6 2014Jul 11 2014

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)1522-3965

Other

Other2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014
Country/TerritoryUnited States
CityMemphis
Period7/6/147/11/14

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint

Dive into the research topics of 'Differential forms inspired finite element discretization for waveguide eigenvalue problems'. Together they form a unique fingerprint.

Cite this