Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44985
Title: Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials
Authors: Araújo, Adérito 
Barbeiro, Sílvia 
Ghalati, Maryam Khaksar 
Issue Date: 2017
Publisher: Global Science Press; Cambridge University Press
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Communications in Computational Physics
Volume: 21
Issue: 05
Abstract: In this work we discuss the numerical discretization of the time-dependent Maxwell's equations using a fully explicit leap-frog type discontinuous Galerkin method. We present a sufficient condition for the stability and error estimates, for cases of typical boundary conditions, either perfect electric, perfect magnetic or first order Silver-Müller. The bounds of the stability region point out the influence of not only the mesh size but also the dependence on the choice of the numerical flux and the degree of the polynomials used in the construction of the finite element space, making possible to balance accuracy and computational efficiency. In the model we consider heterogeneous anisotropic permittivity tensors which arise naturally in many applications of interest. Numerical results supporting the analysis are provided.
URI: http://hdl.handle.net/10316/44985
Other Identifiers: 10.4208/cicp.OA-2016-0110
DOI: 10.4208/cicp.OA-2016-0110
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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