A hp-adaptive discontinuous Galerkin method for plasmonic waveguides

• Autores: Stefano Giani
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 270, Nº 1, 2014, págs. 12-20
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.03.009
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• Resumen

  • In this paper we propose and analyse a hp-adaptive discontinuous finite element method for computing electromagnetic modes of propagation supported by waveguide structures comprised of a thin lossy metal film of finite width embedded in an infinite homogeneous dielectric. We propose a goal-oriented or dual weighted residual error estimator based on the solution of a dual problem that we use to drive the adaptive refinement with the aim to compute accurate approximation of the modes.Weillustrate in the last section the benefits of the resulting hp-adaptive method in practice, which consist in fast convergence and accurate estimation of the error. We tested the method computing the vanishing modes for a metallic waveguide of square section.