Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

In this paper, we develop a nodal discontinuous Galerkin method for solving the time-dependent Maxwell's equations when metamaterials are involved. Both semi- and fully-discrete schemes are constructed. Numerical stability and error estimate are proved for both schemes. Numerical results are presented to demonstrate that the method is not only efficient but also very effective in solving metamaterial Maxwell's equations. (C) 2013 Elsevier Inc. All rights reserved.


Published in:
Journal Of Computational Physics, 258, 915-930
Year:
2014
Publisher:
San Diego, Elsevier
ISSN:
0021-9991
Keywords:
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 Record created 2014-02-17, last modified 2018-01-28

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