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

作者：Chen Tao; Kang Tong^*; Lu Guizhen; Wu Liyun

来源：Mathematical Methods in the Applied Sciences, 2014, 37(3): 343-359.

DOI：10.1002/mma.2795

• eddy current problem
• multiply-connected conductor
• (T,psi)-psi(e) decoupled scheme
• nodal finite element
• error estimate

The aim of this paper is to develop a fully discrete (T,)-(e) finite element decoupled scheme to solve time-dependent eddy current problems with multiply-connected conductors. By making cuts' and setting jumps of (e) across the cuts in nonconductive domain, the uniqueness of (e) is guaranteed. Distinguished from the traditional T- method, our decoupled scheme solves the potentials T and - (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 problemsTEAM Workshop Problems 7 and IEEJ model.

• 出版日期2014-2
• 单位中国传媒大学