基于非规范电磁势三维涡流问题的有限元逼近(英文)

Finite Element Approximation of 3D Eddy Current Problems Using Ungauged Potentials

最近 2 0年来,A φ法已广泛应用于涡流模型的数值计算,但关于该方法的误差分析在国内外迄今尚未能见到有关文献。给出了基于非规范电磁势的三维涡流问题有限元方法的一个收敛性分析。在适当的正则性假设下,得到了全离散有限元A

The A φ method by means of finite element approximation has been applied far and wide in the quasi magnetostatic eddy current computation in the last two decades.However,the literature on the error estimates of this method can not be found so far yet.This provides a convergence analysis of A φ method for 3D eddy current problems based on ungauged potentials by means of finite element approximation.Error estimates of the proposed method are given under the appropriate regular conditions.