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Extra info for Boundary Element Methods: Proceedings of the Third International Seminar, Irvine, California, July 1981
In this example, either T or ~! is specified at every point and the system of equations may be solved. The boundary of the quarter conductor was divided into 72 equal boundary elements. Equation (46) was solved using a Gaussian elimination technique. The results were compared to a finite element solution of the same problem and the results are shown in Figure 4 for both the real and imaginary parts of the potential. The results are very close, with a small error occurring at the corner. VI. Conclusions A boundary element method has been presented for the slowly varying magnetic field.
1952) Numerical Analysis. Clarendon Press, ~fu~. A. T. (1977) Integral Equation Methods in Potential Theory and Elastostatics. Academic Press, London. G. (1957) A new theorem in electrostatics with applications to calculable standards of capacitance. Proc. , Monograph No. 216M, 104C: 271-280. T. A. (1974) Solution of Laplace's Equation in Two Dimensions. NPL Report NAC 44. T. (1980) The Robin problem for Laplace's equation. NPL Report DNACS 32/80. 14 BOUNDARY ELEMENT SOLUTIONS TO THE EDDY CURRENT PROBLEM S.
I. Introduction As manufacturers of electrical equipment strive for higher ef- ficiency, more effort has been put into obtaining efficient and accurate numerical means to predict stray losses. A large class of problems involves a slowly time-varying magnetic field in a conducting medium. In these problems, the displacement currents can be ignored when compared with the conduction current. There is extensive literature on finite difference (Roberts (1959) and King (1966)) and Finite Element (Carpenter (1975), Chari (1973), Carpenter (1977), Sato (1977), Salon (1979)) solutions to these problems.