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Boundary element analysis of magnetic field in non-homogeneous materials

机译:非均质材料中磁场边界元分析

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This paper describes an application of the boundary element method to analysis of magnetostatic fields in materials. whose permeability depends nonlinearly from spatial co-ordinates. The main difficulty in such analysis is caused by the fact that for partial differential equations describing magnetostatic problems in non-homogeneous materials and for associated with them integral equations the Green's functions are impossible to find. To overcome these difficulties a new approach is proposed, which relates the Green's function for nonhomogeneous permeability to Green's function of the Laplace's equation in free space by adequate variable transformation. This allows to use for the nonhomogeneous case the same numerical methods as for homogeneous ones.
机译:本文介绍了边界元法在材料中静磁场分析的应用。其渗透性从空间协调中非线性地取决于非线性。这种分析中的主要困难是由描述非均匀材料中的磁静态问题的偏微分方程和与它们相关联的局部微分方程引起的,绿色的功能是不可能找到的。为了克服这些困难,提出了一种新的方法,这将通过足够的可变变换将绿色的非均匀渗透率与Laplace等式在自由空间中的绿色功能的功能相关。这允许使用与均匀的非均匀情况相同的数值方法。

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