Published September 5, 2011
| Version v1
Conference paper
A hybridizable discontinuous Galerkin method for solving 3D time-harmonic Maxwell's equations
- Creators
- Li, Liang
- Lanteri, Stephane
- Perrussel, Ronan
- Others:
- Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media (NACHOS) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
- Groupe de Recherche en Electromagnétisme (LAPLACE-GRE) ; LAboratoire PLasma et Conversion d'Energie (LAPLACE) ; Université Toulouse III - Paul Sabatier (UT3) ; Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP) ; Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse III - Paul Sabatier (UT3) ; Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP) ; Université Fédérale Toulouse Midi-Pyrénées
- Springer
Description
We study the numerical solution of 3d time-harmonic Maxwell's equations by a hybridizable discontinuous Galerkin method. A hybrid term representing the tangential component of the numerical trace of the magnetic field is introduced. The global system to solve only involves the hybrid term as unknown. We show that the reduced system has properties similar to wave equation discretizations and the tangential components of the numerical traces for both electric and magnetic fields are single-valued. On the example of a plane wave propagation in vacuum the approximate solutions for both electric and magnetic fields have an optimal convergence order.
Abstract
International audience
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-00681964
- URN
- urn:oai:HAL:hal-00681964v1
- Origin repository
- UNICA