曲边六面体矢量单元的改进与应用  

IMPROVEMENT AND APPLICATION OF CURVILINEAR HEXAHEDRAL EDGE ELEMENTS

作　　者：刘鹏[1] 许家栋[1] 

机构地区：[1]西北工业大学电子工程系,陕西西安710072

出　　处：《计算物理》2002年第4期329-332,共4页Chinese Journal of Computational Physics

摘　　要：改进了曲边六面体矢量单元的矢量基函数 .简要回顾了原六面体矢量单元的定义之后 ,介绍了新的矢量基函数的构造方法 ,矢量基函数间的正交性因此有所改善 ,并有利于处理有限元Dirichlet边界条件 .结合完全匹配层 ,将新单元应用于三维电磁散射问题 ,并进行了数值计算 .An improvement of the vector basis functions of quadratic hexahedral edge elements is presented.After a brief review of the original hexahedral edge elements [4] ,the procedure for the construction of the new edge basis functions is proposed.A better orthogonality is gained for the new basis functions,which facilitates the enforcement of Dirichlet boundary condition in the Finite Element Method(FEM).The new hexahedral edge elements is used to solve 3D scattering problem with Perfectly Matched Layer(PML).The related numerical results are carried out to testify both effectiveness and accuracy.

关 键 词：曲边六面体 矢量单元 有限元法 电磁散射 完全匹配层 数值计算 

分 类 号：TM151[电气工程—电工理论与新技术]