恒定磁场互补变分原理的数学分析

Mathematical Analysis for Complementary Variational Principles in Magnetostatics

本文从适定的边值问题出发,对二维恒定磁场的互补变分原理进行了比较全面和严格的数学分析,从而给出了实际应用的理论基础,澄清了工程应用上关心的一些问题。最后通过具有解析解的实例计算,验证了理论的正确性。

In this paper, starting from the properly posed boundary value problem, a complete rigorous mathematical analysis for complementary variational principles of 2D magnetostatics is carried out, and the theoretical basis for engineering application is established. Finally, a model problem having analytic solution is calculated and the correctness of the analysis is verified.