A novel iterative linear solver for 3-D magnetostatic problems using edge elements

Xian Ming Gu; Yanpu Zhao; Weinong Fu

doi:10.1109/CEFC.2016.7815899

A novel iterative linear solver for 3-D magnetostatic problems using edge elements

Xian Ming Gu
, 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. For three-dimensional (3-D) large-scale problems, iterative solver is preferable due to a huge amount of memories are needed if the direct linear solver is adopted. In this paper, a novel Coulomb-gauged formulation for magnetostatic problems using edge element is first proposed. For the proposed formulation, the resultant linear system is symmetric and well-conditioned. It can be solved by iterative solver efficiently. A numerical example is presented to showcase the efficiency 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.2016.7815899
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
Linear solver
Magnetostatics

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Electrical and Electronic Engineering

More information

10.1109/CEFC.2016.7815899

Cite this

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title = "A novel iterative linear solver for 3-D magnetostatic problems using edge elements",

abstract = "{\"i}¿½ 2016 IEEE. For three-dimensional (3-D) large-scale problems, iterative solver is preferable due to a huge amount of memories are needed if the direct linear solver is adopted. In this paper, a novel Coulomb-gauged formulation for magnetostatic problems using edge element is first proposed. For the proposed formulation, the resultant linear system is symmetric and well-conditioned. It can be solved by iterative solver efficiently. A numerical example is presented to showcase the efficiency of the proposed method for practical engineering computation.",

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

author = "Gu, \{Xian Ming\} and Yanpu Zhao and Weinong Fu",

year = "2017",

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doi = "10.1109/CEFC.2016.7815899",

language = "English",

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

publisher = "IEEE",

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Gu, XM, Zhao, Y & Fu, W 2017, A novel iterative linear solver for 3-D magnetostatic problems using edge elements. in IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation., 7815899, IEEE, 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016, Miami, United States, 13/11/16. https://doi.org/10.1109/CEFC.2016.7815899

A novel iterative linear solver for 3-D magnetostatic problems using edge elements. / Gu, Xian Ming; Zhao, Yanpu; Fu, Weinong.
IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. IEEE, 2017. 7815899.

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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Y1 - 2017/1/12

N2 - ï¿½ 2016 IEEE. For three-dimensional (3-D) large-scale problems, iterative solver is preferable due to a huge amount of memories are needed if the direct linear solver is adopted. In this paper, a novel Coulomb-gauged formulation for magnetostatic problems using edge element is first proposed. For the proposed formulation, the resultant linear system is symmetric and well-conditioned. It can be solved by iterative solver efficiently. A numerical example is presented to showcase the efficiency of the proposed method for practical engineering computation.

AB - ï¿½ 2016 IEEE. For three-dimensional (3-D) large-scale problems, iterative solver is preferable due to a huge amount of memories are needed if the direct linear solver is adopted. In this paper, a novel Coulomb-gauged formulation for magnetostatic problems using edge element is first proposed. For the proposed formulation, the resultant linear system is symmetric and well-conditioned. It can be solved by iterative solver efficiently. A numerical example is presented to showcase the efficiency of the proposed method for practical engineering computation.

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KW - Linear solver

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DO - 10.1109/CEFC.2016.7815899

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 iterative linear solver for 3-D magnetostatic problems using edge elements

Abstract

Conference

Keywords

ASJC Scopus subject areas

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