双负介质中电磁波传播的各向异性非协调有限元分析

数学物理学报 ›› 2012, Vol. 32 ›› Issue (5): 982-995.

双负介质中电磁波传播的各向异性非协调有限元分析

石东洋¹|裴丽芳^1,2|许超²

1.郑州大学数学系郑州 450052; |2.洛阳理工学院数理部河南洛阳 471003

收稿日期:2011-03-08 修回日期:2012-04-19 出版日期:2012-10-25 发布日期:2012-10-25
基金资助:
国家自然科学基金(10671184, 10971203)、高等学校博士学科点专项科研基金(20094101110006)和河南省教育厅基金(2009B110013, 2010B110017)资助

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

SHI Dong-Yang¹, FEI Li-Fang^1,2, XU Chao²

1.Department of Mathematics, Zhengzhou University, Zhengzhou 450052|2.Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Henan Luoyang 471003

Received:2011-03-08 Revised:2012-04-19 Online:2012-10-25 Published:2012-10-25
Supported by:
国家自然科学基金(10671184, 10971203)、高等学校博士学科点专项科研基金(20094101110006)和河南省教育厅基金(2009B110013, 2010B110017)资助

摘要/Abstract

摘要：

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.

关键词: 非协调元, 各向异性网格, 麦克斯韦方程, 双负介质, 误差估计

Abstract:

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.

Key words: Nonconforming element, Anisotropic meshes, Maxwell equations, Double negative meta-materials, Error estimates

中图分类号:

65N30

石东洋, 裴丽芳, 许超. 双负介质中电磁波传播的各向异性非协调有限元分析[J]. 数学物理学报, 2012, 32(5): 982-995.

SHI Dong-Yang, FEI Li-Fang, XU Chao. Anisotropic Nonconforming Finite Element Analysis for Electromagnetic Wave Propagation in Double Negative Meta-materials[J]. Acta mathematica scientia,Series A, 2012, 32(5): 982-995.

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