A ( T , ψ )‐ ψ   e   decoupled scheme for a time‐dependent multiply‐connected eddy current problem | Zendy

Chen Tao | Zendy; Kang Tong | Zendy; Lu Guizhen | Zendy; Wu Liyun | Zendy

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A ( T , ψ )‐ ψ e decoupled scheme for a time‐dependent multiply‐connected eddy current problem

Author(s) -

Chen Tao,

Kang Tong,

Lu Guizhen,

Wu Liyun

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2795

Subject(s) - mathematics , saddle point , norm (philosophy) , scheme (mathematics) , uniqueness , eddy current , current (fluid) , finite element method , domain (mathematical analysis) , mathematical analysis , control theory (sociology) , computer science , geometry , control (management) , physics , quantum mechanics , political science , law , thermodynamics , artificial intelligence

The aim of this paper is to develop a fully discrete ( T , ψ )‐ ψ e finite element decoupled scheme to solve time‐dependent eddy current problems with multiply‐connected conductors. By making ‘cuts’ and setting jumps of ψ e across the cuts in nonconductive domain, the uniqueness of ψ e is guaranteed. Distinguished from the traditional T ‐ ψ method, our decoupled scheme solves the potentials T and ψ ‐ ψ e separately in two different simple equation systems, which avoids solving a saddle‐point equation system and leads to a remarkable reduction in computational efforts. The energy‐norm error estimate of the fully discrete decoupled scheme is provided. Finally, the scheme is applied to solve two benchmark problems—TEAM Workshop Problems 7 and IEEJ model. Copyright © 2013 John Wiley & Sons, Ltd.

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