Three-dimensional magnetostatic fields from point-matched integral equations with linearly varying scalar sources

Analytic formulas are given for the shape factors necessary to compute the scalar magnetic potential from single and double layers and the magnetic fields from the single layers using integral equations with linear varying sources. The formulas apply to triangular elements of the polyhedral body comprising the problem geometry. Several problems have been analyzed; the computed results compare favorably with existing approximate theory, experimental data, and other integral equation formulations.