An Explicit Hybridizable Discontinuous Galerkin Method for the 3D Time-Domain Maxwell Equations
| العنوان: | An Explicit Hybridizable Discontinuous Galerkin Method for the 3D Time-Domain Maxwell Equations |
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| المؤلفون: | Nehmetallah, Georges, Lanteri, Stéphane, Descombes, Stéphane, Christophe, Alexandra |
| المساهمون: | 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 Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 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 (... - 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), Laboratoire Jean Alexandre Dieudonné (JAD), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), 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), Laboratoire Jean Alexandre Dieudonné (LJAD) |
| المصدر: | Lecture Notes in Computational Science and Engineering ISBN: 9783030396466 ICOSAHOM 2018-International Conference on Spectral and High Order Methods ICOSAHOM 2018-International Conference on Spectral and High Order Methods, Jul 2018, London, United Kingdom. 2020, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Lecture Notes in Computational Science and Engineering. LNCSE ICOSAHOM 2018-International Conference on Spectral and High Order Methods, Jul 2018, London, United Kingdom. ⟨10.1007/978-3-030-39647-3_41⟩ |
| بيانات النشر: | Springer International Publishing, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | 010101 applied mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 010103 numerical & computational mathematics, 0101 mathematics, 01 natural sciences, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics::Numerical Analysis |
| الوصف: | We present an explicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. The method is fully explicit similarly to classical so-called DGTD (Discontinuous Galerkin Time-Domain) methods, is also high-order accurate in both space and time and can be seen as a generalization of the classical DGTD scheme based on upwind fluxes. We provide numerical results aiming at assessing its numerical convergence properties by considering a model problem and we present some results of the superconvergence property on the Hcurl norm. |
| ردمك: | 978-3-030-39646-6 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55aa0ea75654a996574f90b009bcf221 https://doi.org/10.1007/978-3-030-39647-3_41 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....55aa0ea75654a996574f90b009bcf221 |
| قاعدة البيانات: | OpenAIRE |
| ردمك: | 9783030396466 |
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