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Numerical investigation of penalty factor for coulomb gauge of magnetic vector potential for 3D fields

机译:3D磁场磁势库仑规惩罚因子的数值研究

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摘要

In this paper, the penalty function method for constraining the Coulomb gauge of magnetic vector potential in the finite element analysis of 3-D magnetic field problems is introduced. The Galerkin method of weighted residual equations for the corresponding boundary value problems is derived. The numerical properties of the penalty factor are investigated using FEM modeling. These include the improvement of condition number of the FEM matrix equation system, satisfaction of divergence-free condition of the magnetic vector potential and the effect on the solution of the magnetic problem.
机译:本文介绍了在3-D磁场问题的有限元分析中约束磁矢量势的库仑规的罚函数法。推导了相应边值问题的加权残差方程的Galerkin方法。使用FEM建模研究惩罚因子的数值特性。这些包括改进FEM矩阵方程系统的条件数,满足磁矢量电势的无散度条件以及对解决磁问题的影响。

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