A comparative study of magnetostatics using three-field and conventional vector potential formulations
A comparative study of magnetostatics using three-field and conventional vector potential formulations
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使用三场和传统矢量势公式进行静磁学的比较研究
DOI：
10.1109/20.582479
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发表时间：
1997
影响因子：
2.1
通讯作者：
I. Sasaki
中科院分区：
文献类型：
--
作者：
I. Nishiguchi;H. Matsuzawa;I. Sasaki
提出了电磁场的三场有限元列式，以替代现有的矢势列式。在该公式中，(I)矢量势、(Ii)矢量势的散度和(Iii)伴随(Ii)的标量变量这三个场被独立地插值，并且可以放宽对规范条件的施加。对静磁问题进行了比较研究，包括用传统的二阶节点元的矢势公式进行计算。结果表明，与传统的矢势公式相比，三场公式在有无规范的情况下都能得到更好的结果。
The three-field finite element formulation for electromagnetics was proposed as an alternative to the existing vector potential formulations. In the formulation, three fields, that is (i) the vector potential, (ii) the divergence of the vector potential and (iii) a scalar variable which is adjoint to (ii), are interpolated independently and the imposition of the gauge condition can be relaxed. A comparative study of magnetostatic problems is presented which includes the calculations by conventional vector potential formulations using second order nodal elements. It is shown that the three-field formulation gives better results than conventional vector potential formulations with and without gauging.