hal-00697755, version 1

A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials

Eric T. Chung (, ) ^a, 1, Patrick Jr. Ciarlet (, ) ^b, 2

Research paper (2012)

• a –  The Chinese University of Hong Kong
• b –  ENSTA ParisTech
• 1:  Department of Mathematics [CUHK]
• http://www.math.cuhk.edu.hk
  Chinese University of Hong-Kong Department of Mathematics Room 220, Lady Shaw Building The Chinese University of Hong Kong Shatin, Hong Kong Hong Kong
• 2:  POEMS (CNRS:UMR 7231 - ENSTA - INRIA Rocquencourt)
• http://www-c.inria.fr/Internet/recherche/les-equipes-de-recherche/POEMS_page/view
  INRIA – CNRS : UMR7231 – ENSTA ParisTech France

Bibliographic reference

• Type of document: Other publications
• Domain: Mathematics/Analysis of PDEs
• Title: A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
• Abstract: Some electromagnetic materials exhibit, in a given frequency range, effective dielectric permittivity and/or magnetic permeability which are negative. In the literature, they are called negative index materials, left-handed materials or meta-materials. We propose in this paper a numerical method to solve a wave transmission between a classical dielectric material and a meta-material. The method we investigate can be considered as an alternative method compared to the method presented by the second author and co-workers. In particular, we shall use the abstract framework they developed to prove well-posedness of the exact problem. We recast this problem to fit later discretization by the staggered discontinuous Galerkin method developed by the first author and co-worker, a method which relies on introducing an auxiliary unknown. Convergence of the numerical method is proven, with the help of explicit inf-sup operators, and numerical examples are provided to show the efficiency of the method.
• Full text language: English
• Publication date: 2012-05
• Description: Research paper
• Keywords: staggered DG method – meta-material – negative material – transmission problem

Attached file list to this document: 

• hal-00697755, version 1
• http://hal.inria.fr/hal-00697755
• oai:hal.inria.fr:hal-00697755
• From: Patrick Ciarlet <>
• Submitted on: Wednesday, 16 May 2012 09:55:06
• Updated on: Wednesday, 16 May 2012 10:40:25