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首页> 外文期刊>IEEE Transactions on Magnetics >A symmetric undifferentiated fully gauged T,/spl Psi/-A-/spl Psi/ formulation
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A symmetric undifferentiated fully gauged T,/spl Psi/-A-/spl Psi/ formulation

机译:对称的未差分全量度T,/ spl Psi / -A- / spl Psi /公式

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摘要

In the present paper a fully gauged T,/spl Psi/-A-/spl Psi/ formulation for transient quasi-static 3D eddy current problems, in which the symmetry of the finite element system is achieved without differentiating in time any equation, is proposed. It is desirable to avoid such a differentiation, used in the literature to gain symmetry, because it is expected to produce finite element schemes safer against error growth, but leads to unsymmetrical matrices after discretization in space. Here, a technique proposed by the authors permits one to recover symmetry when discretizing in time. The differential model is carefully described and the way it incorporates the Coulomb gauge is discussed, as well as the existence and uniqueness of the solution. Comparisons with TEAM results are reported.
机译:在本文中,针对瞬态准静态3D涡流问题的全量度T,/ spl Psi / -A- / spl Psi /公式是在不及时区分任何方程的情况下实现有限元系统的对称性的方法。建议。希望避免在文献中使用这种差异来获得对称性,因为期望它能产生对误差增长更安全的有限元方案,但是在空间离散后会导致不对称矩阵。在这里,作者提出的一种技术允许在及时离散时恢复对称性。仔细描述了微分模型,并讨论了其与库仑规结合的方式,以及该解决方案的存在性和唯一性。报告了与TEAM结果的比较。

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