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Magnetic Field Evaluation at Vertex by Boundary Integral Equation Derived from Scalar Potential of Double Layer Charge

机译:由双层电荷标量电位导出的边界积分方程的顶点磁场评估

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摘要

Adopting an integral representation of the scalar potential due to the double layer charge (sigma)_(d), we derive a boundary integral equation (BIE) with one unknown to solve magnetostatic problems. Since (sigma)_(d) produces only the potential gap without disturbing the normal magnetic flux density, the field is accurately formulated even with one unknown. The BIE is capable of treating robustly geometrical singularities at edges and corners. In this paper, we study how to evaluate the field at a vertex such as sharp edges and corners.
机译:采用由于双层电荷(Sigma)_(d)引起的标量电位的积分表示,我们从一个未知的边界积分方程(BIE)衍生来解决磁静静电问题。由于(Sigma)_(d)仅在不扰乱正常磁通密度的情况下仅产生潜在的间隙,因此即使用一个未知,该领域也可以精确配制。 BIE能够在边缘和角落处处理强大的几何奇点。在本文中,我们研究了如何在诸如尖锐边缘和角落的顶点处评估该领域。

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