Abstract
A discontinuous Galerkin method for the numerical approximation for the time-dependent Maxwell’s equations in “stable medium” with supraconductive boundary, is introduced and analysed. its hp-analysis is carried out and error estimates that are optimal in the meshsize h and slightly suboptimal in the approximation degree p are obtained.
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Daveau, C., Zaghdani, A. A hp-discontinuous Galerkin method for the time-dependent Maxwell’s equation: a priori error estimate. J. Appl. Math. Comput. 30, 1–8 (2009). https://doi.org/10.1007/s12190-008-0153-1
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DOI: https://doi.org/10.1007/s12190-008-0153-1