Bibliography

Major publications by the team in recent years

1M. Benjemaa, N. Glinsky-Olivier, V. Cruz-Atienza, J. Virieux.

3D dynamic rupture simulations by a finite volume method, in: Geophys. J. Int., 2009, vol. 178, pp. 541–560.
2S. Delcourte, L. Fezoui, N. Glinsky-Olivier.

A high-order discontinuous Galerkin method for the seismic wave propagation, in: ESAIM: Proc., 2009, vol. 27, pp. 70–89.
3S. Descombes, C. Durochat, S. Lanteri, L. Moya, C. Scheid, J. Viquerat.

Recent advances on a DGTD method for time-domain electromagnetics, in: Photonics and Nanostructures - Fundamentals and Applications, 2013, vol. 11, n^o 4, pp. 291–302.
4V. Dolean, H. Fahs, F. Loula, S. Lanteri.

Locally implicit discontinuous Galerkin method for time domain electromagnetics, in: J. Comput. Phys., 2010, vol. 229, n^o 2, pp. 512–526.
5C. Durochat, S. Lanteri, R. Léger.

A non-conforming multi-element DGTD method for the simulation of human exposure to electromagnetic waves, in: Int. J. Numer. Model., Electron. Netw. Devices Fields, 2013, vol. 27, pp. 614-625.
6C. Durochat, S. Lanteri, C. Scheid.

High order non-conforming multi-element discontinuous Galerkin method for time domain electromagnetics, in: Appl. Math. Comput., 2013, vol. 224, pp. 681–704.
7M. El Bouajaji, V. Dolean, M.J. Gander, S. Lanteri.

Optimized Schwarz methods for the time-harmonic Maxwell equations with damping, in: SIAM J. Sci. Comp., 2012, vol. 34, n^o 4, pp. A20148–A2071.
8M. El Bouajaji, S. Lanteri.

High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations, in: Appl. Math. Comput., 2013, vol. 219, n^o 13, pp. 7241–7251.
9V. Etienne, E. Chaljub, J. Virieux, N. Glinsky.

An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling, in: Geophys. J. Int., 2010, vol. 183, n^o 2, pp. 941–962.
10H. Fahs.

Development of a $h p$ -like discontinuous Galerkin time-domain method on non-conforming simplicial meshes for electromagnetic wave propagation, in: Int. J. Numer. Anal. Mod., 2009, vol. 6, n^o 2, pp. 193–216.
11H. Fahs.

High-order Leap-Frog based biscontinuous Galerkin bethod for the time-domain Maxwell equations on non-conforming simplicial meshes, in: Numer. Math. Theor. Meth. Appl., 2009, vol. 2, n^o 3, pp. 275–300.
12H. Fahs, A. Hadjem, S. Lanteri, J. Wiart, M. Wong.

Calculation of the SAR induced in head tissues using a high order DGTD method and triangulated geometrical models, in: IEEE Trans. Ant. Propag., 2011, vol. 59, n^o 12, pp. 4669–4678.
13L. Fezoui, S. Lanteri, S. Lohrengel, S. Piperno.

Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, in: ESAIM: Math. Model. Num. Anal., 2005, vol. 39, n^o 6, pp. 1149–1176.
14S. Lanteri, C. Scheid.

Convergence of a discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media, in: IMA J. Numer. Anal., 2013, vol. 33, n^o 2, pp. 432-459.
15L. Li, S. Lanteri, R. Perrussel.

Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell's equations, in: COMPEL, 2013, pp. 1112–1138.
16L. Li, S. Lanteri, R. Perrussel.

A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equations, in: J. Comput. Phys., 2014, vol. 256, pp. 563–581.
17R. Léger, J. Viquerat, C. Durochat, C. Scheid, S. Lanteri.

A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles, in: J. Comp. Appl. Math., 2014, vol. 270, pp. 330–342.
18L. Moya, S. Descombes, S. Lanteri.

Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations, in: J. Sci. Comp., 2013, vol. 56, n^o 1, pp. 190–218.
19L. Moya.

Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2012, vol. 46, pp. 1225–1246.
20F. Peyrusse, N. Glinsky-Olivier, C. Gélis, S. Lanteri.

A nodal discontinuous Galerkin method for site effects assessment in viscoelastic media - verification and validation in the Nice basin, in: Geophys. J. Int., 2014, vol. 199, n^o 1, pp. 315-334.
21J. Viquerat, M. Klemm, S. Lanteri, C. Scheid.

Theoretical and numerical analysis of local dispersion models coupled to a discontinuous Galerkin time-domain method for Maxwell's equations, Inria, May 2013, n^o RR-8298, 79 p.

http://hal.inria.fr/hal-00819758

Publications of the year

Articles in International Peer-Reviewed Journals

22D. Chiron, C. Scheid.

Travelling Waves for the Nonlinear Schrödinger Equation with General Nonlinearity in Dimension Two, in: Journal of Nonlinear Science, September 2015. [ DOI : 10.1007/s00332-015-9273-6 ]

https://hal.archives-ouvertes.fr/hal-00873794
23S. Delcourte, N. Glinsky.

Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 42 p, Accepté pour publication.

https://hal.inria.fr/hal-01109424
24V. Dolean, M. J. Gander, S. Lanteri, J.-F. Lee, Z. Peng.

Effective transmission conditions for domain decomposition methods applied to the time-harmonic Curl-Curl Maxwell's equations, in: Journal of Computational Physics, 2015, vol. 280. [ DOI : 10.1016/j.jcp.2014.09.024 ]

https://hal.inria.fr/hal-01254221
25M. El Bouajaji, V. Dolean, M. J. Gander, S. Lanteri, R. Perrussel.

Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell's equations, in: Electronic Transactions on Numerical Analysis (ETNA), 2015, vol. 44.

https://hal.inria.fr/hal-01254218
26Y.-X. He, L. Li, S. Lanteri, T.-Z. Huang.

Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a Hybridizable Discontinuous Galerkin method, in: Computer Physics Communications, March 2016, vol. 200. [ DOI : 10.1016/j.cpc.2015.11.011 ]

https://hal.inria.fr/hal-01258441
27G. Jay, S. Lanteri, O. Nicole, R. Perrussel.

Stabilization in relation to wavenumber in HDG methods, in: Advanced Modeling and Simulation in Engineering Sciences, June 2015, vol. 2, n^o 13. [ DOI : 10.1186/s40323-015-0032-x ]

https://hal.inria.fr/hal-01254211
28D. Mercerat, N. Glinsky.

A nodal high-order discontinuous Galerkin method for elastic wave propagation in arbitrary heterogeneous media, in: Geophysical Journal International, 2015, 20 p, accepté pour publication.

https://hal.inria.fr/hal-01109612
29J. Viquerat, C. Scheid.

A 3D curvilinear discontinuous Galerkin time-domain solver for nanoscale light–matter interactions, in: Journal of Computational and Applied Mathematics, March 2015, forthcoming. [ DOI : 10.1016/j.cam.2015.03.028 ]

https://hal.archives-ouvertes.fr/hal-01145478

International Conferences with Proceedings

30S. Lanteri, C. Scheid, J. Viquerat.

Numerical modeling of light/matter interaction at the nanoscale with a high order finite element type time-domain solver, in: 36th PIERS (Progress In Electromagnetics Research Symposium), Prague, Czech Republic, July 2015.

https://hal.inria.fr/hal-01258563

Conferences without Proceedings

31H. Barucq, L. Boillot, M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.

Discontinuous Galerkin Approximations for Seismic Wave Propagation in a HPC Framework, in: Platform for Advanced Scientific Computing Conference (PASC 15), Zurich, Switzerland, June 2015.

https://hal.inria.fr/hal-01184106
32M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.

Modeling of elastic Helmholtz equations by hybridizable discontinuous Galerkin method (HDG) for geophysical applications, in: 5th workshop France-Brazil HOSCAR, Nice, France, September 2015.

https://hal.inria.fr/hal-01207897
33M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.

Modelling of seismic waves propagation in harmonic domain by hybridizable discontinuous Galerkin method (HDG), in: Workshop GEAGAMM, Pau, France, May 2015.

https://hal.inria.fr/hal-01207906
34M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.

Performance Assessment on Hybridizable Dg Approximations for the Elastic Wave Equation in Frequency Domain, in: SIAM Conference on Mathematical and Computational Issues in the Geosciences, Stanford, United States, June 2015.

https://hal.inria.fr/hal-01184111
35M. Bonnasse-Gahot, H. Calandra, J. Diaz, S. Lanteri.

Performance comparison between hybridizable DG and classical DG methods for elastic waves simulation in harmonic domain, in: Workshop Oil & Gas Rice 2015, Houston, Texas, United States, March 2015.

https://hal.inria.fr/hal-01207886
36S. Lanteri, R. Léger, D. Paredes, C. Scheid, F. Valentin.

Multiscale hybrid methods for time-domain electromagnetics, in: ADMOS 2015, Nantes, France, June 2015.

https://hal.inria.fr/hal-01245189
37S. Lanteri, R. Léger, D. Paredes, C. Scheid, F. Valentin.

A multiscale hybrid-mixed method for the Maxwell equations in the time domain, in: WONAPDE 2016, Concepción, Chile, Universidad de Concepción, Chile, January 2016.

https://hal.inria.fr/hal-01245904
38S. Lanteri, D. Paredes, C. Scheid, F. Valentin.

MHM methods for time dependent propagation of electromagnetics waves, in: PANACM 2015, Buenos Aires, Argentina, April 2015.

https://hal.inria.fr/hal-01251774
39C. Scheid.

Numerical computation of travelling waves for the Nonlinear Schrödinger equation in dimension 2, in: SciCADE 2015, Potsdam, Germany, September 2015.

https://hal.inria.fr/hal-01251762
40C. Scheid.

Numerical study of dispersive models for nanophotonics, in: Waves 2015, Karlsruhe, Germany, July 2015.

https://hal.inria.fr/hal-01251766

Scientific Books (or Scientific Book chapters)

41S. Descombes, M. Duarte, M. Massot.

Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena, in: operator splitting and alternating direction methods, R. Glowinski, S. Osher, W. Yin (editors), August 2015, pp. 1-13.

https://hal.archives-ouvertes.fr/hal-01183745
42S. Lanteri, R. Léger, C. Scheid, J. Viquerat, T. Cabel, G. Hautreux.

Hybrid MIMD/SIMD High Order DGTD Solver for the Numerical Modeling of Light/Matter Interaction on the Nanoscale, PRACE, March 2015.

https://hal.inria.fr/hal-01253158

Internal Reports

43S. Descombes, S. Lanteri, L. Moya.

Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues, Université Nice Sophia Antipolis ; CNRS, 2015.

https://hal.inria.fr/hal-01133694
44L. Fezoui, S. Lanteri.

Discontinuous Galerkin methods for the numerical solution of the nonlinear Maxwell equations in 1d, Inria, January 2015, n^o RR-8678.

https://hal.inria.fr/hal-01114155
45N. Schmitt, C. Scheid, S. Lanteri, J. Viquerat, A. Moreau.

A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects, Inria, May 2015, n^o RR-8726, 73 p.

https://hal.inria.fr/hal-01150076

Other Publications

46S. Descombes, M. Duarte, T. Dumont, T. Guillet, V. Louvet, M. Massot.

Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures, November 2015, working paper or preprint.

https://hal.archives-ouvertes.fr/hal-01148617
47S. Descombes, S. Lanteri, L. Moya.

Temporal convergence analysis of a locally implicit discontinuous galerkin time domain method for electromagnetic wave propagation in dispersive media, December 2015, working paper or preprint.

https://hal.archives-ouvertes.fr/hal-01244237
48R. Léger, D. Alvarez Mallon, A. Duran, S. Lanteri.

Adapting a Finite-Element Type Solver for Bioelectromagnetics to the DEEP-ER Platform, October 2015, working paper or preprint.

https://hal.inria.fr/hal-01243708

References in notes

49B. Cockburn, G. Karniadakis, C. Shu (editors)

Discontinuous Galerkin methods. Theory, computation and applications, Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2000, vol. 11.
50B. Cockburn, C. Shu (editors)

Special issue on discontinuous Galerkin methods, J. Sci. Comput., Springer, 2005, vol. 22-23.
51C. Dawson (editor)

Special issue on discontinuous Galerkin methods, Comput. Meth. App. Mech. Engng., Elsevier, 2006, vol. 195.
52K. Aki, P. Richards.

Quantitative seismology, University Science Books, Sausalito, CA, USA, 2002.
53K. Busch, M. König, J. Niegemann.

Discontinuous Galerkin methods in nanophotonics, in: Laser and Photonics Reviews, 2011, vol. 5, pp. 1–37.
54B. Cockburn, J. Gopalakrishnan, R. Lazarov.

Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems, in: SIAM J. Numer. Anal., 2009, vol. 47, n^o 2, pp. 1319–1365.
55A. Csaki, T. Schneider, J. Wirth, N. Jahr, A. Steinbrück, O. Stranik, F. Garwe, R. Müller, W. Fritzsche.

Molecular plasmonics: light meets molecules at the nanosacle, in: Phil. Trans. R. Soc. A, 2011, vol. 369, pp. 3483–3496.
56J. S. Hesthaven, T. Warburton.

Nodal discontinuous Galerkin methods: algorithms, analysis and applications, Springer Texts in Applied Mathematics, Springer Verlag, 2007.
57J. Jackson.

Classical Electrodynamics, Third edition, John Wiley and Sons, INC, 1998.
58X. Ji, W. Cai, P. Zhang.

High-order DGTD method for dispersive Maxwell's equations and modelling of silver nanowire coupling, in: Int. J. Numer. Meth. Engng., 2007, vol. 69, pp. 308–325.
59J. Niegemann, M. König, K. Stannigel, K. Busch.

Higher-order time-domain methods for the analysis of nano-photonic systems, in: Photonics Nanostruct., 2009, vol. 7, pp. 2–11.
60A. Taflove, S. Hagness.

Computational electrodynamics: the finite-difference time-domain method (3rd edition), Artech House, 2005.
61J. Virieux.

P-SV wave propagation in heterogeneous media: velocity-stress finite difference method, in: Geophysics, 1986, vol. 51, pp. 889–901.
62K. Yee.

Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, in: IEEE Trans. Antennas and Propagation, 1966, vol. 14, n^o 3, pp. 302–307.
63Y. Zheng, B. Kiraly, P. Weiss, T. Huang.

Molecular plasmonics for biology and nanomedicine, in: Nanomedicine, 2012, vol. 7, n^o 5, pp. 751–770.

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