A hp-adaptive discontinuous Galerkin method for plasmonic waveguides

Giani, Stefano

doi:10.1016/j.cam.2014.03.009

A hp-adaptive discontinuous Galerkin method for plasmonic waveguides

Giani, Stefano

Authors

Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor

Abstract

In this paper we propose and analyse a hphp-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. We illustrate in the last section the benefits of the resulting hphp-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.

Citation

Giani, S. (2014). A hp-adaptive discontinuous Galerkin method for plasmonic waveguides. Journal of Computational and Applied Mathematics, 270, 12-20. https://doi.org/10.1016/j.cam.2014.03.009

Journal Article Type	Article
Publication Date	Nov 1, 2014
Deposit Date	Sep 29, 2014
Publicly Available Date	Jun 22, 2015
Journal	Journal of Computational and Applied Mathematics
Print ISSN	0377-0427
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	270
Pages	12-20
DOI	https://doi.org/10.1016/j.cam.2014.03.009
Keywords	Discontinuous Galerkin methods, A posteriori error estimation, Adaptivity, Eigenvalue problems.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, 270, November 2014, 10.1016/j.cam.2014.03.009.