A Comparative Study of Magnetostatics Using Three-Field Formulation and Conventional Vector Potential Formulations
A Comparative Study of Magnetostatics Using Three-Field Formulation and Conventional Vector Potential Formulations
复制标题
使用三场公式和传统矢量势公式进行静磁学的比较研究
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
M. Sasaki
中科院分区：
文献类型：
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作者：
I. Nishiguchi;H. Matsuzawa;M. Sasaki
摘要：提出了电磁学的三场有限元公式，作为现有矢量势形式的替代方案。在公式中，有三个场，即i)矢量势，ii)矢量势的散度，iii)伴随的标量变量，以及？本文对静磁问题进行了比较研究，其中包括采用二阶零节元的传统矢量位势公式的计算。结果表明，三场构造比有和无测量的传统矢量势构造具有更好的结果。
Abstmct- Three-field finite element formulation for electmmagnetics was proposed as an altemative to the existing vectorpotential formdations. In the formulation, three fields, that is, i) the vector potential, ii) the dvergence of the vector potential and iii) a scalar variable which is adjoint to ii), an? interpolated independently and the imposition of the gauge condition can be relaxed In this paper, a comparative stdy of magnetostatic problems is presented which inclwks the calculations by conventional vector potential formulations sing second o&rnodal elements. It is shown that the threefield fomidation gives better results than conventional vector potential fomullations with andwithout gauging.