Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 258, Issue -, Pages 915-930Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.11.018
Keywords
Maxwell's equations; Metamaterial; Discontinuous Galerkin method; Perfectly matched layers
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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.
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