International Journal for Numerical Methods in Engineering · 1979 · 251 citations · 8 references
Numerical AnalysisElectromagnetic WaveMethod Of Fundamental SolutionFields ProblemsEngineeringScalar PotentialComputer AlgorithmsNumerical SolutionNumerical ComputationComputational ElectromagneticsTotal Scalar PotentialScalar PotentialsMagnetic FieldBoundary Element MethodNumerical Method For Partial Differential Equation
Abstract The paper summarizes the formulation of a set of computer algorithms for the solution of the three‐dimensional non‐linear Poisson field problem. Results are presented that were obtained by applying algorithms to the analysis of two‐dimensional magnetostatic fields. Scalar and vector potentials were used, and it is shown that the convenient single valued scalar potential associated with the induced sources gives severe accuracy problems in permeable regions. The results become as good as those obtained using vector potential if the scalar potential associated with the total field is used for permeable regions. The combination of two scalar potentials has a significant advantage for three‐dimensional problems.
8