双负介质中电磁波传播的各向异性非协调有限元分析

Anisotropic Nonconforming Finite Element Analysis for Electromagnetic Wave Propagation in Double Negative Meta-materials

研究了三维双负介质中麦克斯韦方程的各向异性非协调有限元方法.一个低阶非协调长方体元被分别用于半离散和全离散混合元格式.同时,在各向异性网格下给出了方程中四个变量的误差估计.

In this paper, an anisotropic nonconforming finite element method is studied for three-dimensional Maxwell equations when double negative meta-materials are involved. A low order nonconforming element is used in a semi-discrete as well in a fully discrete mixed finite element scheme. At the same time, error estimates for all four variables in the equations are obtained for anisotropic meshes.