Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation. (English) Zbl 1472.65122 J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021). MSC: 65M60 65M06 65N30 65D07 65M99 65F20 78A45 78M34 78M10 78M20 35Q60 PDF BibTeX XML Cite \textit{K. Li} et al., J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021; Zbl 1472.65122) Full Text: DOI OpenURL
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell’s equations. (English) Zbl 1452.78035 J. Comput. Phys. 396, 106-128 (2019). MSC: 78M34 78M10 65M60 78A40 PDF BibTeX XML Cite \textit{K. Li} et al., J. Comput. Phys. 396, 106--128 (2019; Zbl 1452.78035) Full Text: DOI Link OpenURL
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics. (English) Zbl 1428.78031 Appl. Math. Comput. 358, 128-145 (2019). MSC: 78M10 65M60 78A55 PDF BibTeX XML Cite \textit{K. Li} et al., Appl. Math. Comput. 358, 128--145 (2019; Zbl 1428.78031) Full Text: DOI OpenURL
Schmitt, Nikolai; Scheid, Claire; Viquerat, Jonathan; Lanteri, Stéphane Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method. (English) Zbl 1416.65358 J. Comput. Phys. 373, 210-229 (2018). MSC: 65M60 78A25 76Y05 PDF BibTeX XML Cite \textit{N. Schmitt} et al., J. Comput. Phys. 373, 210--229 (2018; Zbl 1416.65358) Full Text: DOI OpenURL
Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. (English) Zbl 1426.78031 Appl. Math. Comput. 319, 395-408 (2018). MSC: 78M10 65M60 78A10 PDF BibTeX XML Cite \textit{A. Christophe} et al., Appl. Math. Comput. 319, 395--408 (2018; Zbl 1426.78031) Full Text: DOI Link OpenURL
Lanteri, Stéphane; Scheid, Claire; Klemm, Maciek; Viquerat, Jonathan High order DGTD solver for the numerical modeling of nanoscale light/matter interaction. (English) Zbl 1383.78041 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 243-255 (2017). MSC: 78M10 78A25 78M30 65N30 78A60 78M20 65L06 82D80 PDF BibTeX XML Cite \textit{S. Lanteri} et al., Lect. Notes Comput. Sci. Eng. 119, 243--255 (2017; Zbl 1383.78041) Full Text: DOI Link OpenURL
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media. (English) Zbl 1375.78016 J. Comput. Appl. Math. 316, 122-132 (2017). MSC: 78A40 78A70 78M20 65N30 PDF BibTeX XML Cite \textit{S. Descombes} et al., J. Comput. Appl. Math. 316, 122--132 (2017; Zbl 1375.78016) Full Text: DOI HAL OpenURL
Lanteri, S.; Scheid, C.; Viquerat, J. Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics. (English) Zbl 1368.78140 SIAM J. Sci. Comput. 39, No. 3, A831-A859 (2017). MSC: 78M10 65M60 78A40 78A60 PDF BibTeX XML Cite \textit{S. Lanteri} et al., SIAM J. Sci. Comput. 39, No. 3, A831--A859 (2017; Zbl 1368.78140) Full Text: DOI OpenURL
He, Yu-Xuan; Li, Liang; Lanteri, Stéphane; Huang, Ting-Zhu Optimized Schwarz algorithms for solving time-harmonic Maxwell’s equations discretized by a hybridizable discontinuous Galerkin method. (English) Zbl 1352.65346 Comput. Phys. Commun. 200, 176-181 (2016). MSC: 65M60 35Q61 65M55 78A40 PDF BibTeX XML Cite \textit{Y.-X. He} et al., Comput. Phys. Commun. 200, 176--181 (2016; Zbl 1352.65346) Full Text: DOI OpenURL
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues. (English) Zbl 1351.35208 SIAM J. Sci. Comput. 38, No. 5, A2611-A2633 (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q61 65L20 65M60 92C05 78A40 PDF BibTeX XML Cite \textit{S. Descombes} et al., SIAM J. Sci. Comput. 38, No. 5, A2611--A2633 (2016; Zbl 1351.35208) Full Text: DOI OpenURL
Li, Liang; Lanteri, Stéphane; Perrussel, Ronan A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations. (English) Zbl 1375.78036 Comput. Phys. Commun. 192, 23-31 (2015). MSC: 78M10 78A25 PDF BibTeX XML Cite \textit{L. Li} et al., Comput. Phys. Commun. 192, 23--31 (2015; Zbl 1375.78036) Full Text: DOI OpenURL
Dolean, Victorita; Gander, Martin J.; Lanteri, Stephane; Lee, Jin-Fa; Peng, Zhen Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell’s equations. (English) Zbl 1349.78064 J. Comput. Phys. 280, 232-247 (2015). MSC: 78M10 65N30 35Q61 65N55 78A30 PDF BibTeX XML Cite \textit{V. Dolean} et al., J. Comput. Phys. 280, 232--247 (2015; Zbl 1349.78064) Full Text: DOI OpenURL
El Bouajaji, Mohamed; Dolean, Victorita; Gander, Martin J.; Lanteri, Stéphane; Perrussel, Ronan Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell’s equations. (English) Zbl 1330.65177 ETNA, Electron. Trans. Numer. Anal. 44, 572-592 (2015). MSC: 65N30 65N22 65N55 78A25 78M10 65F10 PDF BibTeX XML Cite \textit{M. El Bouajaji} et al., ETNA, Electron. Trans. Numer. Anal. 44, 572--592 (2015; Zbl 1330.65177) Full Text: EMIS OpenURL
El Bouajaji, Mohamed; Dolean, Victorita; Gander, Martin J.; Lanteri, Stéphane; Perrussel, Ronan DG discretization of optimized Schwarz methods for Maxwell’s equations. (English) Zbl 1383.78038 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 217-225 (2014). MSC: 78M10 65M60 65M55 78A40 PDF BibTeX XML Cite \textit{M. El Bouajaji} et al., Lect. Notes Comput. Sci. Eng. 98, 217--225 (2014; Zbl 1383.78038) Full Text: DOI Link OpenURL
Li, Liang; Lanteri, Stéphane; Perrussel, Ronan A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell’s equation. (English) Zbl 1349.78069 J. Comput. Phys. 256, 563-581 (2014). MSC: 78M10 65N30 65N55 78A40 PDF BibTeX XML Cite \textit{L. Li} et al., J. Comput. Phys. 256, 563--581 (2014; Zbl 1349.78069) Full Text: DOI Link OpenURL
Léger, Raphaël; Viquerat, Jonathan; Durochat, Clément; Scheid, Claire; Lanteri, Stéphane A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles. (English) Zbl 1374.78205 J. Comput. Appl. Math. 270, 330-342 (2014). MSC: 78M10 65M60 78A45 65Y05 82D80 PDF BibTeX XML Cite \textit{R. Léger} et al., J. Comput. Appl. Math. 270, 330--342 (2014; Zbl 1374.78205) Full Text: DOI OpenURL
El Bouajaji, M.; Gmati, N.; Lanteri, S.; Salhi, J. Coupling of an exact transparent boundary condition with a DG method for the solution of the time-harmonic Maxwell equations. (English) Zbl 1284.78011 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 237-247 (2014). MSC: 78M10 65N30 78A40 35Q61 78A45 PDF BibTeX XML Cite \textit{M. El Bouajaji} et al., Lect. Notes Comput. Sci. Eng. 95, 237--247 (2014; Zbl 1284.78011) Full Text: DOI OpenURL
Descombes, S.; Lanteri, S.; Moya, L. High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. (English) Zbl 1284.78010 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 205-215 (2014). MSC: 78M10 78A25 78M20 PDF BibTeX XML Cite \textit{S. Descombes} et al., Lect. Notes Comput. Sci. Eng. 95, 205--215 (2014; Zbl 1284.78010) Full Text: DOI OpenURL
Bouajaji, Mohamed El; Lanteri, Stéphane High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations. (English) Zbl 1288.78031 Appl. Math. Comput. 219, No. 13, 7241-7251 (2013). MSC: 78M10 65N30 78A30 PDF BibTeX XML Cite \textit{M. E. Bouajaji} and \textit{S. Lanteri}, Appl. Math. Comput. 219, No. 13, 7241--7251 (2013; Zbl 1288.78031) Full Text: DOI OpenURL
Li, Liang; Lanteri, Stéphane; Perrussel, Ronan Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell’s equations. (English) Zbl 1282.78007 COMPEL 32, No. 3, Article ID 17086464, 1112-1138 (2013). MSC: 78A25 65N30 78A45 PDF BibTeX XML Cite \textit{L. Li} et al., COMPEL 32, No. 3, Article ID 17086464, 1112--1138 (2013; Zbl 1282.78007) Full Text: DOI OpenURL
Bollhöfer, Matthias; Lanteri, Stéphane Block preconditioning strategies for high order finite element discretization of the time-harmonic Maxwell equations. (English) Zbl 1247.78036 Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 25-33 (2012). MSC: 78M10 65F08 65F05 78A40 65N30 PDF BibTeX XML Cite \textit{M. Bollhöfer} and \textit{S. Lanteri}, Math. Ind. 16, 25--33 (2012; Zbl 1247.78036) Full Text: DOI OpenURL
Fahs, Hassan; Hadjem, Abdelhamid; Lanteri, Stéphane; Wiart, Joe; Wong, Man-Fai Calculation of the SAR induced in head tissues using a high-order DGTD method and triangulated geometrical models. (English) Zbl 1369.78562 IEEE Trans. Antennas Propag. 59, No. 12, 4669-4678 (2011). MSC: 78A70 78M10 78M20 65M06 78A25 92C55 PDF BibTeX XML Cite \textit{H. Fahs} et al., IEEE Trans. Antennas Propag. 59, No. 12, 4669--4678 (2011; Zbl 1369.78562) Full Text: DOI OpenURL
Dolean, Victorita; Fahs, Hassan; Fezoui, Loula; Lanteri, Stéphane Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. (English) Zbl 1217.78064 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 163-170 (2011). MSC: 78M25 78M10 78A40 65M60 PDF BibTeX XML Cite \textit{V. Dolean} et al., Lect. Notes Comput. Sci. Eng. 76, 163--170 (2011; Zbl 1217.78064) Full Text: DOI OpenURL
Dolean, Victorita; El Bouajaji, Mohamed; Gander, Martin J.; Lanteri, Stéphane; Perrussel, Ronan Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains. (English) Zbl 1217.78058 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 15-26 (2011). MSC: 78M10 78M25 65N30 65N55 35Q60 78A40 PDF BibTeX XML Cite \textit{V. Dolean} et al., Lect. Notes Comput. Sci. Eng. 78, 15--26 (2011; Zbl 1217.78058) Full Text: DOI OpenURL
Catella, Adrien; Dolean, Victorita; Lanteri, Stéphane An implicit discontinuous Galerkin time-domain method for two-dimensional electromagnetic wave propagation. (English) Zbl 1194.78052 COMPEL 29, No. 3, 602-625 (2010). MSC: 78M10 78A40 78M20 65M60 PDF BibTeX XML Cite \textit{A. Catella} et al., COMPEL 29, No. 3, 602--625 (2010; Zbl 1194.78052) Full Text: DOI OpenURL
Dolean, Victorita; Fahs, Hassan; Fezoui, Loula; Lanteri, Stéphane Locally implicit discontinuous Galerkin method for time domain electromagnetics. (English) Zbl 1213.78037 J. Comput. Phys. 229, No. 2, 512-526 (2010). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 78M25 78A25 78A40 65M60 65M50 PDF BibTeX XML Cite \textit{V. Dolean} et al., J. Comput. Phys. 229, No. 2, 512--526 (2010; Zbl 1213.78037) Full Text: DOI Link OpenURL
Dolean, V.; Fol, H.; Lanteri, S.; Perrussel, R. Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods. (English) Zbl 1154.65089 J. Comput. Appl. Math. 218, No. 2, 435-445 (2008). Reviewer: Gunther Schmidt (Berlin) MSC: 65N30 78M10 65N12 78A25 35Q60 PDF BibTeX XML Cite \textit{V. Dolean} et al., J. Comput. Appl. Math. 218, No. 2, 435--445 (2008; Zbl 1154.65089) Full Text: DOI arXiv OpenURL
Bernacki, Marc; Lanteri, Stephane; Piperno, Serge Time-domain parallel simulation of heterogeneous wave propagation on unstructured grids using explicit, nondiffusive, discontinuous Galerkin methods. (English) Zbl 1198.76081 J. Comput. Acoust. 14, No. 1, 57-81 (2006). MSC: 76M20 76M10 78M20 78M10 76Q05 78A40 PDF BibTeX XML Cite \textit{M. Bernacki} et al., J. Comput. Acoust. 14, No. 1, 57--81 (2006; Zbl 1198.76081) Full Text: DOI OpenURL
Caromel, D.; Huet, F.; Lanteri, S.; Parlavantzas, N. Distributed and object-oriented computational electromagnetics on the grid. (English) Zbl 1108.68302 Tarricone, Luciano (ed.) et al., Advances in information technologies for electromagnetics. Dordrecht: Springer (ISBN 1-4020-4748-7/hbk). 327-343 (2006). MSC: 68M10 68N19 68M07 78A40 65Y05 PDF BibTeX XML Cite \textit{D. Caromel} et al., in: Advances in information technologies for electromagnetics. Dordrecht: Springer. 327--343 (2006; Zbl 1108.68302) OpenURL
Bernacki, Marc; Fezoui, Loula; Lanteri, Stéphane; Piperno, Serge Parallel discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimensional wave propagation problems. (English) Zbl 1101.78009 Appl. Math. Modelling 30, No. 8, 744-763 (2006). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65M60 78A50 76Q05 PDF BibTeX XML Cite \textit{M. Bernacki} et al., Appl. Math. Modelling 30, No. 8, 744--763 (2006; Zbl 1101.78009) Full Text: DOI OpenURL
Fezoui, Loula; Lanteri, Stéphane; Lohrengel, Stéphanie; Piperno, Serge Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes. (English) Zbl 1094.78008 ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1149-1176 (2005). Reviewer: Stefan Jakobsson (Göteborg) MSC: 78M30 65M12 65M60 78A40 78M25 PDF BibTeX XML Cite \textit{L. Fezoui} et al., ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1149--1176 (2005; Zbl 1094.78008) Full Text: DOI Numdam EuDML OpenURL