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The method of fundamental solutions with a minimum order formulation applied to 3D eddy current problems

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2 Author(s)
Wang Jingguo ; Dept. of Electr. Eng., Toronto Univ., Ont., Canada ; Lavers, J.D.

The most salient feature of the method of fundamental solutions is that by locating the source points on an auxiliary boundary, the singular kernels encountered in most boundary element methods (BEMs) are avoided. Therefore, good results can be obtained. The A*-ψ formulation is used in the 3D MFS. Furthermore, by eliminating the dependent coefficients from the equations, the unknowns are reduced by one on each node, as compared to the conventional BEM. In so doing, a minimum-order formulation is obtained. Two examples of the application of the approach are given. Results are compared with analytical solutions, as well as with the conventional BEM solutions

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Magnetics, IEEE Transactions on  (Volume:29 ,  Issue: 2 )