Giani, Stefano (2014) 'A hp-adaptive discontinuous Galerkin method for plasmonic waveguides.', Journal of computational and applied mathematics., 270 . pp. 12-20.
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.
|Keywords:||Discontinuous Galerkin methods, A posteriori error estimation, Adaptivity, Eigenvalue problems.|
|Full text:||(AM) Accepted Manuscript|
Download PDF (363Kb)
|Publisher Web site:||http://dx.doi.org/10.1016/j.cam.2014.03.009|
|Publisher 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.|
|Record Created:||22 Jun 2015 10:35|
|Last Modified:||22 Jun 2015 11:09|
|Social bookmarking:||Export: EndNote, Zotero | BibTex|
|Look up in GoogleScholar | Find in a UK Library|