Vectorial solution to double curl equation with generalized coulomb gauge for magneto static problems

Yan Lin Li, Sheng Sun, Qi I. Dai, Weng Cho Chew

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

Abstract

In this paper, a solution to the double curl equation with generalized Coulomb gauge is proposed based on the vectorial representation of the magnetic vector potential. Coulomb gauge is applied to remove the null space of the curl operator and hence the uniqueness of the solution is guaranteed. However, as the divergence operator cannot act on the curl-conforming edge basis functions directly, the magnetic vector potential is used to be represented by nodal finite elements. Inspired by the mapping of Whitney forms by mathematical operators and Hodge operators, the divergence of the magnetic vector potential, as a whole, can be approximated by scalar basis functions. Hence, the magnetic vector potential can be expanded by vector basis functions, and the original equation can be rewritten in a generalized form and solved in a more natural and accurate way.

Original languageEnglish (US)
Title of host publicationICCEM 2015 - 2015 IEEE International Conference on Computational Electromagnetics
EditorsHang Wong, Kwok Kan So
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages350-352
Number of pages3
ISBN (Electronic)9781479962815
DOIs
StatePublished - Mar 2 2015
Event2015 1st IEEE International Conference on Computational Electromagnetics, ICCEM 2015 - Hong Kong, Hong Kong
Duration: Feb 2 2015Feb 5 2015

Publication series

NameICCEM 2015 - 2015 IEEE International Conference on Computational Electromagnetics

Other

Other2015 1st IEEE International Conference on Computational Electromagnetics, ICCEM 2015
CountryHong Kong
CityHong Kong
Period2/2/152/5/15

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Computational Theory and Mathematics

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