三维有限元静磁场计算中周期边界的一种处理方法

A FEM Analysis with Periodic Boundary Condition in 3D Magnetic Field Computation

在三维有限元静磁场计算中，提出一种处理周期边界问题的新方法，并导出有限元计算格式。文中将周期边界上节点的矢量位作为非独立变量处理，从而节省了计算机内存。最后，本文对国际电磁场软件测试模型（ＴＥＡＭ问题１３）进行了计算，获得了正确的结果。

A FEM analysis with periodic boundary condition in 3D magnetic field computation has been presented in this paper. The vector potentials on the periodic boundary condition are served as non-independent variables and the corresponding FEM formulations of vector potential have been developed as well. By means of this analysis,the unkown boundary integrals on the Periodic boundary condition are not only removed from the traditional FEM equations,but also the storage of computer is greatly reduced. Finally,the TEAM Problem 13 has been calculated and the results has proved the presented method is correct.