用混合单元的棱边有限元法计算三维涡流问题

Three Dimensional Eddy-current Field computation by Edge Finite Element Method of Mixed Elements

就三梭柱单元导出了棱边有限元法的１－形式线性插值基函数。以电场强度为求解变量，论述了在时谐涡流场导电区和非导电区交界面上若以电场强度切向分量连续作为强加条件，则磁场强度切向分量连续便是自然交界面条件的问题。最后用三棱柱、六面体的混合单元的棱边有限元法求解了一个三维涡流场的算例。

The edge finite element interpolation function of 1-forms for prism is derived.The electrical field intensity is used as the unknown variable.If the tangential component of electrical field intensity is an enforcing condition on the interface of eddy-current region and non-eddycurrent region,the tangential component of magnetic field intensity is a natural continuous condition.At last,the mixed elements of prism and hexahedron are used to compute a three dimensional eddy-current problem.