The aim of this paper is to develop a fully discrete (T,ψ)‐ψe finite element decoupled scheme to solve time‐dependent eddy current problems with multiply‐connected conductors. By making ‘cuts’ and setting jumps of ψe across the cuts in nonconductive domain, the uniqueness of ψe is guaranteed. Distinguished from the traditional T‐ ψ method, our decoupled scheme solves the potentials T and ψ‐ ψe 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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