A novel formulation with Coulomb gauge for 3-D magnetostatic problems using edge elements

Yanpu Zhao, Weinong Fu

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


� 2016 IEEE. The use of Coulomb gauged formulation together with nodal elements, which imposes both tangential and normal continuity, may produce large errors at material interfaces or reentrant corners of problem domains. While traditional Coulomb gauged formulation is not valid for edge elements since the divergence of the edge element basis is zero within each element. In this paper, a novel formulation with Coulomb Gauge for magnetostatic problems using edge element is proposed. For the proposed method, the resultant linear system is symmetric and well-conditioned, which can be solved by direct solvers or iterative solvers efficiently. A numerical example is presented to showcase the accuracy and usefulness of the proposed method for practical engineering computation.
Original languageEnglish
Title of host publicationIEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
ISBN (Electronic)9781509010325
Publication statusPublished - 12 Jan 2017
Event17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Hotel Hilton Miami Downtown, Miami, United States
Duration: 13 Nov 201616 Nov 2016


Conference17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
Country/TerritoryUnited States


  • Coulomb gauge
  • Edge element
  • Magnetostatics

ASJC Scopus subject areas

  • Computational Mathematics
  • Instrumentation
  • Electrical and Electronic Engineering

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