Until now we have introduced mixed finite element methods for three-dimensional eddy current problems, and have shown the effectiveness of mixed methods; see Kanayama et al. [5] and Kanayama and Kikuchi [6]. However, the resultant linear systems derived from the mixed methods are indefinite, which cause difficulties in choosing the iterative solver, and the Lagrange multipliers turn out to be zero. This is why it is quite desirably to eliminate these extra quantities. Therefore, we have considered two iterative procedures for the eddy current problems, and have shown some numerical examples; see Kanayama et al. [7,8].
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