The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.
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. Fézoui, N. Glinsky-Olivier. A high-order discontinuous Galerkin method for the seismic wave propagation, in: ESAIM: Proc., 2009, vol. 27, pp. 70–89.
3V. Dolean, H. Fahs, F. Loula, S. Lanteri. Locally implicit discontinuous Galerkin method for time domain electromagnetics, in: J. Comput. Phys., 2010, vol. 229, no 2, pp. 512–526.
4C. 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.
5M. 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, no 13, pp. 7241–7251.
6H. Fahs. Development of a -like discontinuous Galerkin time-domain method on non-conforming simplicial meshes for electromagnetic wave propagation, in: Int. J. Numer. Anal. Mod., 2009, vol. 6, no 2, pp. 193–216.
7H. 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, no 3, pp. 275–300.
8H. 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, no 12, pp. 4669–4678.
9L. 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, no 6, pp. 1149–1176.
10S. Lanteri, D. Paredes, C. Scheid, F. Valentin. The multiscale hybrid-mixed method for the Maxwell equations in heterogeneous media, in: Multiscale Model. Simul., 2018, vol. 16, no 4, pp. 1648–1683.
11S. 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, no 2, pp. 432-459.
12L. 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.
13L. 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, no 1, pp. 190–218.
14L. 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.
15F. 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, no 1, pp. 315-334.
16N. Schmitt. Discontinuous Galerkin time domain method for nanophotonics, Inria Nachos project-team, 2018.
17J. 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, no RR-8298, 79 p. http://hal.inria.fr/hal-00819758
18E. Agullo, L. Giraud, A. Gobé, M. Kuhn, S. Lanteri, L. Moya. High order HDG method and domain decomposition solvers for frequency‐domain electromagnetics, in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, October 2019. [
DOI : 10.1002/jnm.2678 ] https://hal.inria.fr/hal-02327982
19V. Belus, J. Rabault, J. Viquerat, Z. Che, E. Hachem, U. Reglade. Exploiting locality and translational invariance to design effective deep reinforcement learning control of the 1-dimensional unstable falling liquid film, in: AIP Advances, December 2019, vol. 9, no 12, 125014 p. [
DOI : 10.1063/1.5132378 ] https://hal.archives-ouvertes.fr/hal-02428691
21T. Chaumont-Frelet. Mixed finite element discretizations of acoustic Helmholtz problems with high wavenumbers, in: Calcolo, 2019, forthcoming. [
DOI : 10.1007/s10092-019-0346-z ] https://hal.inria.fr/hal-02197891
22M. M. R. Elsawy, S. Lanteri, R. Duvigneau, G. Brière, M. S. Mohamed, P. Genevet. Global optimization of metasurface designs using statistical learning methods, in: Scientific Reports, November 2019, vol. 9, no 1. [
DOI : 10.1038/s41598-019-53878-9 ] https://hal.archives-ouvertes.fr/hal-02156881
23K. Li, T.-Z. Huang, L. Li, S. Lanteri. A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics, in: Applied Mathematics and Computation, October 2019, vol. 358, pp. 128-145. [
DOI : 10.1016/j.amc.2019.04.031 ] https://hal.inria.fr/hal-02433050
24K. Li, T.-Z. Huang, L. Li, S. Lanteri. POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell's equations, in: Journal of Computational Physics, November 2019, vol. 396, pp. 106-128. [
DOI : 10.1016/j.jcp.2019.05.051 ] https://hal.inria.fr/hal-02433048
25N. Schmitt, N. Georg, G. Brière, D. Loukrezis, S. Héron, S. Lanteri, C. Klitis, M. Sorel, U. Römer, H. De Gersem, S. Vézian, P. Genevet. Optimization and uncertainty quantification of gradient index metasurfaces, in: Optical Materials Express, 2019, vol. 9, no 2, 892 p. [
DOI : 10.1364/OME.9.000892 ] https://hal.inria.fr/hal-02433053
26J. Viquerat, N. Schmitt, C. Scheid. Simulating 3D periodic structures at oblique incidences with discontinuous Galerkin time-domain methods: theoretical and practical considerations, in: SMAI Journal of Computational Mathematics, September 2019. [
DOI : 10.5802/smai-jcm.45 ] https://hal.archives-ouvertes.fr/hal-01978598
27J. Viquerat. Efficient time‐domain numerical analysis of waveguides with tailored wideband pulses, in: Microwave and Optical Technology Letters, March 2019, vol. 61, no 6, pp. 1534-1539. [
DOI : 10.1002/mop.31840 ] https://hal.inria.fr/hal-02433052
International Conferences with Proceedings
28E. Agullo, L. Giraud, S. Lanteri, G. Marait, A.-C. Orgerie, L. Poirel. Energy Analysis of a Solver Stack for Frequency-Domain Electromagnetics, in: PDP 2019 - 27th Euromicro International Conference on Parallel, Distributed and Network-Based Processing, Pavia, Italy, 2019 27th Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP), IEEE, February 2019, pp. 385-391. [
DOI : 10.1109/EMPDP.2019.8671555 ] https://hal.archives-ouvertes.fr/hal-02191331
29T. Chaumont-Frelet, A. Ern, M. Vohralík. Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation, in: EnuMath 2019 - European Numerical Mathematics and Advanced Applications Conference, Egmond aan Zee, Netherlands, September 2019. https://hal.inria.fr/hal-02321140
Conferences without Proceedings
30T. Chaumont-Frelet, S. Nicaise. Finite element discretizations of high-frequency wave propagation problems in heterogeneous media, in: Waves 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vienna, France, August 2019. https://hal.inria.fr/hal-02321137
31T. Chaumont-Frelet, S. Nicaise. Frequency-explicit convergence analysis for finite element discretizations of wave propagation problems in heterogeneous media, in: MAFELAP 2019 - 16th Conference on Mathematics of Finite Elements and Applications, London, Royaume-Uni, June 2019. https://hal.inria.fr/hal-02321130
32T. Chaumont-Frelet, S. Nicaise. High order finite element methods for wave propagation in heterogenous media, in: JOSO 2019 - Journées Ondes Sud-Ouest, Le Barp, France, March 2019. https://hal.inria.fr/hal-02138517
33T. Chaumont-Frelet, S. Nicaise. Sharp stability analysis for high-order finite element discretizations of general wave propagation problems, in: ICIAM 2019 - International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 2019. https://hal.inria.fr/hal-02321133
34T. Chaumont-Frelet, S. Nicaise, D. Pardo. Finite element approximation of Maxwell's equations with unfitted meshes for borehole simulations, in: ICIAM 2019 - International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 2019. https://hal.inria.fr/hal-02321135
35M. M. R. Elsawy, R. Duvigneau, S. Lanteri, P. Ni, G. Brière, P. Genevet. Optimal design of all-dielectric 3D gradient metasurfaces, in: PIERS 2019 - PhotonIcs & Electromagnetics Research Symposium, Rome, Italy, June 2019. https://www.hal.inserm.fr/inserm-02430383
36M. M. R. Elsawy, K. Hassan, S. Boutami, S. Lanteri. Statistical learning optimization for highly efficient graded index photonic lens, in: Workshop on Theoretical and Numerical Tools for Nanophotonics TNTN 2020, Berlin, Germany, February 2020. https://www.hal.inserm.fr/inserm-02430410
37M. M. R. Elsawy, S. Lanteri, R. Duvigneau, G. Brière, P. Genevet. Optimized 3D metasurface for maximum light deflection at visible range, in: META 2019 - 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Lisbonne, Portugal, July 2019. https://www.hal.inserm.fr/inserm-02430395
Scientific Books (or Scientific Book chapters)
38An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, January 2020, forthcoming. https://hal.archives-ouvertes.fr/hal-01955032
39T. Chaumont-Frelet, A. Ern, M. Vohralík. On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation, July 2019, working paper or preprint. https://hal.inria.fr/hal-02202233
40T. Chaumont-Frelet, F. Valentin. A multiscale hybrid-mixed method for the Helmholtz equation in heterogeneous domains, April 2019, working paper or preprint. https://hal.inria.fr/hal-01698914
42V. Darrigrand, D. Pardo, T. Chaumont-Frelet, I. Gómez-Revuelto, E. L. Garcia-Castillo. A Painless Automatic hp-Adaptive Strategy for Elliptic Problems, March 2019, working paper or preprint. https://hal.inria.fr/hal-02071427
45S. Nicaise, C. Scheid. Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics, September 2019, working paper or preprint. https://hal.archives-ouvertes.fr/hal-02276569
47B. 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.
48B. Cockburn, C. Shu (editors) Special issue on discontinuous Galerkin methods, J. Sci. Comput., Springer, 2005, vol. 22-23.
49C. Dawson (editor) Special issue on discontinuous Galerkin methods, Comput. Meth. App. Mech. Engng., Elsevier, 2006, vol. 195.
50K. Aki, P. Richards. Quantitative seismology, University Science Books, Sausalito, CA, USA, 2002.
51K. Busch, M. König, J. Niegemann. Discontinuous Galerkin methods in nanophotonics, in: Laser and Photonics Reviews, 2011, vol. 5, pp. 1–37.
52B. 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, no 2, pp. 1319–1365.
53A. 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.
54J. S. Hesthaven, T. Warburton. Nodal discontinuous Galerkin methods: algorithms, analysis and applications, Springer Texts in Applied Mathematics, Springer Verlag, 2007.
55J. Jackson. Classical Electrodynamics, Third edition, John Wiley and Sons, INC, 1998.
56X. 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.
57J. 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.
58A. Taflove, S. Hagness. Computational electrodynamics: the finite-difference time-domain method (3rd edition), Artech House, 2005.
59J. Virieux. P-SV wave propagation in heterogeneous media: velocity-stress finite difference method, in: Geophysics, 1986, vol. 51, pp. 889–901.
60K. Wang, Z. Yu, V. Liu, Y. Cui, S. Fan. Absorption enhancement in ultrathin crystalline silicon solar cells with antireflection and light-trapping nanocone gratings, in: Nano. Lett., 2012, vol. 12, pp. 1616-1619. [
DOI : 10.1021/nl204550q ]
61K. Yee. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, in: IEEE Trans. Antennas and Propagation, 1966, vol. 14, no 3, pp. 302–307.
62Y. Zheng, B. Kiraly, P. Weiss, T. Huang. Molecular plasmonics for biology and nanomedicine, in: Nanomedicine, 2012, vol. 7, no 5, pp. 751–770.