A novel coulomb gauged magnetic vector potential formulation for 3-D eddy-current field analysis using edge elements

Yanpu Zhao; Weinong Fu

doi:10.1109/CEFC.2016.7815895

A novel coulomb gauged magnetic vector potential formulation for 3-D eddy-current field analysis 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

Magnetic vector potential (MVP) formulations are widely used in eddy-current field computation. How to impose the gauge condition properly to ensure the uniqueness of the MVP is a key problem for researchers. In this paper, a novel MVP formulation with Coulomb Gauge for eddy-current problems using edge elements is proposed. The resultant linear matrix equation is symmetric and well-conditioned, which can be solved by direct solvers or iterative solvers efficiently. Numerical example is solved using the proposed MVP formulation, which is very promising in further engineering applications.

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.2016.7815895
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
Eddy-current
Edge element
Finite element method
Three-dimensional

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Electrical and Electronic Engineering

More information

10.1109/CEFC.2016.7815895

Cite this

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title = "A novel coulomb gauged magnetic vector potential formulation for 3-D eddy-current field analysis using edge elements",

abstract = "Magnetic vector potential (MVP) formulations are widely used in eddy-current field computation. How to impose the gauge condition properly to ensure the uniqueness of the MVP is a key problem for researchers. In this paper, a novel MVP formulation with Coulomb Gauge for eddy-current problems using edge elements is proposed. The resultant linear matrix equation is symmetric and well-conditioned, which can be solved by direct solvers or iterative solvers efficiently. Numerical example is solved using the proposed MVP formulation, which is very promising in further engineering applications.",

keywords = "Coulomb gauge, Eddy-current, Edge element, Finite element method, Three-dimensional",

author = "Yanpu Zhao and Weinong Fu",

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language = "English",

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Zhao, Y & Fu, W 2017, A novel coulomb gauged magnetic vector potential formulation for 3-D eddy-current field analysis using edge elements. in IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation., 7815895, IEEE, 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016, Miami, United States, 13/11/16. https://doi.org/10.1109/CEFC.2016.7815895

A novel coulomb gauged magnetic vector potential formulation for 3-D eddy-current field analysis using edge elements. / Zhao, Yanpu; Fu, Weinong.
IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. IEEE, 2017. 7815895.

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

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AU - Fu, Weinong

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N2 - Magnetic vector potential (MVP) formulations are widely used in eddy-current field computation. How to impose the gauge condition properly to ensure the uniqueness of the MVP is a key problem for researchers. In this paper, a novel MVP formulation with Coulomb Gauge for eddy-current problems using edge elements is proposed. The resultant linear matrix equation is symmetric and well-conditioned, which can be solved by direct solvers or iterative solvers efficiently. Numerical example is solved using the proposed MVP formulation, which is very promising in further engineering applications.

AB - Magnetic vector potential (MVP) formulations are widely used in eddy-current field computation. How to impose the gauge condition properly to ensure the uniqueness of the MVP is a key problem for researchers. In this paper, a novel MVP formulation with Coulomb Gauge for eddy-current problems using edge elements is proposed. The resultant linear matrix equation is symmetric and well-conditioned, which can be solved by direct solvers or iterative solvers efficiently. Numerical example is solved using the proposed MVP formulation, which is very promising in further engineering applications.

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KW - Eddy-current

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KW - Three-dimensional

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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

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A novel coulomb gauged magnetic vector potential formulation for 3-D eddy-current field analysis using edge elements

Abstract

Conference

Keywords

ASJC Scopus subject areas

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