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

Yanpu Zhao; Weinong Fu

doi:10.1109/CEFC.2016.7815898

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

Yanpu Zhao, Weinong Fu

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

ï¿½ 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 language	English
Title of host publication	IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
Publisher	IEEE
ISBN (Electronic)	9781509010325
DOIs	https://doi.org/10.1109/CEFC.2016.7815898
Publication status	Published - 12 Jan 2017
Event	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Hotel Hilton Miami Downtown, Miami, United States Duration: 13 Nov 2016 → 16 Nov 2016

Conference

Conference	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
Country/Territory	United States
City	Miami
Period	13/11/16 → 16/11/16

Keywords

Coulomb gauge
Edge element
Magnetostatics

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Electrical and Electronic Engineering

More information

10.1109/CEFC.2016.7815898

Cite this

@inproceedings{4163b98cf0f34afb84fdde2e217cabda,

title = "A novel formulation with Coulomb gauge for 3-D magnetostatic problems using edge elements",

abstract = "{\"i}¿½ 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.",

keywords = "Coulomb gauge, Edge element, Magnetostatics",

author = "Yanpu Zhao and Weinong Fu",

year = "2017",

month = jan,

day = "12",

doi = "10.1109/CEFC.2016.7815898",

language = "English",

booktitle = "IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation",

publisher = "IEEE",

address = "United States",

note = "17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 ; Conference date: 13-11-2016 Through 16-11-2016",

}

TY - GEN

T1 - A novel formulation with Coulomb gauge for 3-D magnetostatic problems using edge elements

AU - Zhao, Yanpu

AU - Fu, Weinong

PY - 2017/1/12

Y1 - 2017/1/12

N2 - ï¿½ 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.

AB - ï¿½ 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.

KW - Coulomb gauge

KW - Edge element

KW - Magnetostatics

UR - http://www.scopus.com/inward/record.url?scp=85012012672&partnerID=8YFLogxK

U2 - 10.1109/CEFC.2016.7815898

DO - 10.1109/CEFC.2016.7815898

M3 - Conference article published in proceeding or book

BT - IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation

PB - IEEE

T2 - 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016

Y2 - 13 November 2016 through 16 November 2016

ER -

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

Abstract

Conference

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this