In the quasi-static magnetic field calculation, the equation is indefinite when we use edge elements without the gauge condition by the tree and co-tree decomposition. The convergence property of the incomplete Cholesky conjugate gradient (ICCG) method is investigated in the FEM of the A-/spl phi/ formulation using edge elements. Even when the continuity of the source current density is not satisfied strictly, we can obtain converged solutions including the error of the discontinuity by the ICCG. Also a method by two scalar potentials to impose divergence-free current density in the FEM mesh is proposed.
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Kameari et al. (1997) studied this question.