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首页> 外文期刊>Magnetics, IEEE Transactions on >Extended Meshfree Point Collocation Method for Electromagnetic Problems With Layered Singularity
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Extended Meshfree Point Collocation Method for Electromagnetic Problems With Layered Singularity

机译：具有分层奇异性的电磁问题的扩展无网格点配点方法

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摘要

A novel meshfree point collocation method for solving the electromagnetic potential problems with layered singularity is presented. The approximation based on the moving least squares technique is enriched by Heaviside step function, scissor function and wedge function. It effectively models discontinuities in electromagnetic potential and its gradient fields. Direct discretization of the partial differential equations yields the system of equations so that the computational speed is very fast compared to the Galerkin formulation. Solving the system provides the nodal solutions and jump strengths on the singular layer at the same time. Numerical results show that the developed method is highly efficient and reliable in solving electrostatic problems with charge layer or insulating layer.
机译：提出了一种新的无网格点配点方法，用于解决分层奇异点的电磁势问题。基于移动最小二乘技术的近似值通过Heaviside阶跃函数，剪刀函数和楔形函数得到了丰富。它有效地模拟了电磁势及其梯度场的不连续性。偏微分方程的直接离散化产生了方程系统，因此与Galerkin公式相比，计算速度非常快。该系统的求解同时提供了奇异层上的节点解和跳跃强度。数值结果表明，该方法在解决带电层或绝缘层的静电问题方面是高效，可靠的。

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