Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (5): 982-995.

• Articles • Previous Articles     Next Articles

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

 SHI Dong-Yang1, FEI Li-Fang1,2, XU Chao2   

  1. 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

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

CLC Number: 

  • 65N30
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