Title :
The method of fundamental solutions with a minimum order formulation applied to 3D eddy current problems
Author :
Jingguo, Wang ; Lavers, J.D.
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
fDate :
3/1/1993 12:00:00 AM
Abstract :
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
Keywords :
boundary-elements methods; eddy currents; 3D eddy current problems; auxiliary boundary; boundary element methods; indirect BEM; method of fundamental solutions; minimum order formulation; source points; Boundary conditions; Coils; Conductors; Eddy currents; Finite element methods; Integral equations; Kernel; Material properties; Nonlinear equations; Robustness;
Journal_Title :
Magnetics, IEEE Transactions on
