An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials

Numerical simulation of metamaterials play a very important role in the design of invisibility cloak, and sub-wavelength imaging. In this paper, we propose a leap-frog discontinuous Galerkin method to solve the time-dependent Maxwell’s equations in metamaterials. Conditional stability and error esti...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2012-06, Vol.223-224, p.43-54
Hauptverfasser:	Li, Jichun, Waters, Jiajia Wang, Machorro, Eric A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied classical electromagnetism Computer simulation Design engineering Discontinuous Galerkin method Electromagnetic wave propagation, radiowave propagation Electromagnetism electron and ion optics Estimates Exact sciences and technology Fundamental areas of phenomenology (including applications) Galerkin methods Leap-frog scheme Mathematical models Mathematics Maxwell's equations Metamaterials Numerical analysis Numerical analysis. Scientific computation Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	Numerical simulation of metamaterials play a very important role in the design of invisibility cloak, and sub-wavelength imaging. In this paper, we propose a leap-frog discontinuous Galerkin method to solve the time-dependent Maxwell’s equations in metamaterials. Conditional stability and error estimates are proved for the scheme. The proposed algorithm is implemented and numerical results supporting the analysis are provided.
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2012.02.016