高阶矢量有限元方法实现及关键问题

Implementation for higher order vector FEM and some key issues

以二阶三角形矢量元分析均匀无耗波导问题为例,系统而显式地分析了高阶矢量元的实现过程,探讨了实现过程中的一些关键问题。基于基函数分类和单元矩阵分块技术,提出了一种新型的针对高阶矢量元编程的实现方法,可有效地推广到三维情况下任意形式的高阶元。数值实例验证了该方法的可靠性。

Based on the example of the homogeneous, lossless waveguide problems, the implementation process for higher order vector FEM is analyzed systematically and explicitly, and some key issues are discussed. A new method is proposed to implement higher order vector elements by using the classified bases and block matrix technique, which can be applied to 3D vector elements with any type effectively. Numerical results confirm the reliability of the method.