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Journal of Scientific Computing

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01-01-2013

Numerical Study of the Plasma-Lorentz Model in Metamaterials

Authors: Jichun Li, Yunqing Huang, Wei Yang

Published in: Journal of Scientific Computing | Issue 1/2013

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Abstract

Since 2000, the study of metamaterial has been a very hot topic due to its potential applications in many areas such as design of invisibility cloak and sub-wavelength imaging. Although several metamaterial models are often used by physicists and engineers, the study of their mathematical properties has lagged behind. In this paper, we initiate our investigation in the plasma-Lorentz model. More specifically, we first discuss the well-posedness of this model, then develop two fully-discrete finite element methods for solving it. Detailed stability and error analysis are carried out, and 3-D numerical results justifying our theoretical analysis are presented.

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Title: Numerical Study of the Plasma-Lorentz Model in Metamaterials
Authors: Jichun Li
Yunqing Huang
Wei Yang
Publication date: 01-01-2013
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2013
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-012-9608-5

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