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Boundary Element Method for Three-Dimensional Magnetostatic Fields in Terms of Vector Variables

机译:基于矢量变量的三维静磁场边界元法

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A boundary element method for three-dimensional magnetostatic problems, where analysis is performed in terms of the magnetic flux density or the magnetic vector potential, is developed. Uniqueness conditions for boundary value problems in magnetostatics are presented. A set of vector boundary integral equations is derived. The integral equations are approximated by applying the point matching of Galerkin method, and the formulations of isoparametric boundary element solution are developed for linear homogeneous problems. An interpolation method is introduced to take special features in magnetostatics into consideration, and a numerical scheme catering for the singularity in integral equations is described. The technique for homogeneous problems is extended for interface problems with modification. Numerical examples for homogeneous and interface problems are given.

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