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, p. 541–560.

http://dx.doi.org/10.1111/j.1365-246X.2009.04088.x
2M. Benjemaa, N. Glinsky-Olivier, V. Cruz-Atienza, J. Virieux, S. Piperno.

Dynamic non-planar crack rupture by a finite volume method, in: Geophys. J. Int., 2007, vol. 171, p. 271-285.

http://dx.doi.org/10.1111/j.1365-246X.2006.03500.x
3M. Bernacki, L. Fezoui, S. Lanteri, S. Piperno.

Parallel unstructured mesh solvers for heterogeneous wave propagation problems, in: Appl. Math. Model., 2006, vol. 30, n^o 8, p. 744–763.

http://dx.doi.org/10.1016/j.apm.2005.06.015
4A. Catella, V. Dolean, S. Lanteri.

An implicit discontinuous Galerkin time-domain method for two-dimensional electromagnetic wave propagation, in: COMPEL, 2010, vol. 29, n^o 3, p. 602–625.

http://dx.doi.org/10.1108/03321641011028215
5S. Delcourte, L. Fezoui, N. Glinsky-Olivier.

A high-order discontinuous Galerkin method for the seismic wave propagation, in: ESAIM: Proc., 2009, vol. 27, p. 70–89.

http://dx.doi.org/10.1051/proc/2009020
6V. Dolean, H. Fahs, L. Fezoui, S. Lanteri.

Locally implicit discontinuous Galerkin method for time domain electromagnetics, in: J. Comput. Phys., 2010, vol. 229, n^o 2, p. 512–526.

http://dx.doi.org/10.1016/j.jcp.2009.09.038
7V. Dolean, H. Fol, S. Lanteri, R. Perrussel.

Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods, in: J. Comp. Appl. Math., 2008, vol. 218, n^o 2, p. 435-445.

http://dx.doi.org/10.1016/j.cam.2007.05.026
8V. Dolean, M. Gander, L. Gerardo-Giorda.

Optimized Schwarz methods for Maxwell equations, in: SIAM J. Scient. Comp., 2009, vol. 31, n^o 3, p. 2193–2213.

http://dx.doi.org/10.1137/080728536
9V. Dolean, S. Lanteri, R. Perrussel.

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods, in: J. Comput. Phys., 2007, vol. 227, n^o 3, p. 2044–2072.

http://dx.doi.org/10.1016/j.jcp.2007.10.004
10V. Dolean, S. Lanteri, R. Perrussel.

Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method, in: IEEE. Trans. Magn., 2008, vol. 44, n^o 6, p. 954–957.

http://dx.doi.org/10.1109/TMAG.2008.915830
11V. 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, p. 941–962.

http://dx.doi.org/10.1111/j.1365-246X.2010.04764.x
12H. 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, p. 193–216.
13H. 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, p. 275–300.
14L. 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, p. 1149–1176.

http://dx.doi.org/DOI:10.1051/m2an:2005049
15S. Piperno, M. Remaki, L. Fezoui.

A nondiffusive finite volume scheme for the three-dimensional Maxwell's equations on unstructured meshes, in: SIAM J. Num. Anal., 2002, vol. 39, n^o 6, p. 2089–2108.

http://dx.doi.org/10.1137/S0036142901387683

Publications of the year

Doctoral Dissertations and Habilitation Theses

16J. Charles.

Amélioration des performances de méthodes Galerkin discontinues d'ordre élevé pour la résolution numérique des équations de Maxwell instationnaires sur des maillages simplexes, Université de Nice Sophia-Antipolis, Apr 2012.

http://hal.inria.fr/tel-00718571

Articles in International Peer-Reviewed Journals

17M. E. Bouajaji, V. Dolean, M. 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, p. A20148–A2071. [ DOI : 10.1137/110842995 ]
18M. E. Bouajaji, S. Lanteri.

High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations, in: Appl. Math. Comput., 2012, to appear. [ DOI : 10.1016/j.amc.2011.03.140 ]
19V. Dolean, F. Nataf, R. Scheichl, N. Spillane.

Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet–to–Neumann maps, in: Comp. Meth. Appl. Math., Jan 2012, vol. 12, n^o 4, p. 391–414. [ DOI : 10.2478/cmam-2012-0027 ]
20A. Drissaoui, S. Lanteri, P. Lévêque, F. Musy, L. Nicolas, R. Perrussel, D. Voyer.

A stochastic collocation method combined with a reduced basis method to compute uncertainties in numerical dosimetry, in: IEEE Trans. Magn., Feb 2012, vol. 48, n^o 2, p. 563–566. [ DOI : 10.1109ach/TMAG.2011.2174347 ]

http://hal.inria.fr/hal-00675034
21M. Duarte, M. Massot, S. Descombes, C. Tenaud, T. Dumont, V. Louvet, F. Laurent.

New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators, in: SIAM J. Sci. Comput., 2012, vol. 34, n^o 1, p. A76–A104.

http://dx.doi.org/10.1137/100816869
22L. Li, S. Lanteri, R. Perrussel.

Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell's equations, in: COMPEL, 2012, to appear.
23L. Moya, S. Descombes, S. Lanteri.

Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations, in: J. Sci. Comp., 2012, to appear. [ DOI : 10.1007/s10915-012-9669-5 ]
24L. Moya.

Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2012, vol. 46, p. 1225–1246. [ DOI : 10.1051/m2an/2012002 ]

http://hal.inria.fr/inria-00565217
25C. Scheid, S. Lanteri.

Convergence of a discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media, in: IMA J. Numer. Anal., 2012, to appear.

International Conferences with Proceedings

26M. E. Bouajaji, N. Gmati, S. Lanteri, J. Salhi.

Coupling of an exact transparent boundary condition with a discontinuous Galerkin method for the solution of the time-harmonic Maxwell equations, in: International Conference on Spectral and High Order Methods (ICOSAHOM 2012), Gammarth, Tunisia, Lecture Notes in Computational Science and Engineering, Springer, 2012.
27T. Cabel, J. Charles, S. Lanteri.

Performance evaluation of a multi-GPU enabled finite element method for computational electromagnetics, in: 4th Workshop on UnConventional High Performance Computing 2011 (UCHPC 2011). European Conference on Parallel and Distributed Computing (Euro-Par 2011), Bordeaux, France, Lecture Notes in Computer Sciences, Springer, 2012, vol. 7156, p. 355–364.
28V. Dolean, M. E. Bouajaji, M. Gander, S. Lanteri, R. Perrussel.

Optimized Schwarz algorithms for the time-harmonic Maxwell equations discretized by discontinuous Galerkin methods, in: 21st International Conference on Domain Decomposition Methods (DD21), Rennes, France, Lecture Notes in Computational Science and Engineering, Springer, 2012.
29C. Durochat, S. Lanteri, L. Moya, J. Viquerat, S. Descombes, C. Scheid.

Some recent developments of the discontinous Galerkin method for time-domain electromagnetics, in: 5th International Workshop on Theoretical and Computational Nano-Photonics (TaCoNa-Photonics 2012), Bad Honnef, Germany, American Institute of Physics (AIP) Conference Proceedings Series, 2012.
30C. Durochat, C. Scheid, S. Lanteri.

High order non-conforming multi-element discontinuous Galerkin method for time-domain electromagnetics, in: 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA'12), Cape Town, South Africa, 2012.
31C. Girard, N. Raveu, R. Perrussel, J. Li, S. Lanteri.

1d WCIP and FEM hybridization, in: European Conference and Exhibition on Electromagnetics (EUROEM 2012), Toulouse, France, 2012, 143 p.

http://hal.inria.fr/hal-00725249
32S. Lanteri, L. Li, R. Perrussel.

Schwarz methods for time-harmonic Maxwell's equations discretized by a hybridized discontinuous Galerkin method, in: 21st International Conference on Domain Decomposition Methods (DD21), Rennes, France, Lecture Notes in Computational Science and Engineering, Springer, 2012.
33L. Moya, S. Descombes, S. Lanteri.

Locally implicit time integration strategies in a high order discontinuous Galerkin method for Maxwell equations, in: International Conference on Spectral and High Order Methods (ICOSAHOM 2012), Gammarth, Tunisia, Lecture Notes in Computational Science and Engineering, Springer, 2012.
34Z. Peng, J.-F. Lee, V. Dolean, M. Gander, S. Lanteri.

Speed up non-conformal DDM convergence using an asymmetric optimal transmission condition, in: 21st International Conference on Domain Decomposition Methods (DD21), Rennes, France, Lecture Notes in Computational Science and Engineering, Springer, 2012.
35F. Peyrusse, N. Glinsky, C. Gélis, S. Lanteri.

A high-order discontinuous Galerkin method for viscoelastic wave propagation, in: International Conference on Spectral and High Order Methods (ICOSAHOM 2012), Gammarth, Tunisia, Lecture Notes in Computational Science and Engineering, Springer, 2012.

National Conferences with Proceeding

36S. Lanteri, L. Li, R. Perrussel.

A hybridized discontinuous Galerkin method for 3d time-harmonic Maxwell's equations, in: 7ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC 2012), Marseille, France, 2012, p. 17–18.

http://hal.inria.fr/hal-00725079

Conferences without Proceedings

37C. Girard, N. Raveu, S. Lanteri, R. Perrussel.

1d WCIP and FEM hybridization, in: 7ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC 2012), Marseille, France, 2012, p. 74–75.

http://hal.inria.fr/hal-00725088
38N. Glinsky, E. Bertrand.

Topographical site amplifications investigation by combining numerical and field experiments: the case of Rognes, south east France, in: 15th World Conference on Earthquake Engineering (15 WCEE), Lisbon, Portugal, 2012.
39N. Glinsky, D. Mercerat.

A high-order discontinuous Galerkin method for seismic wave propagation in heterogeneous media, in: 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna, Austria, 2012.
40F. Peyrusse, N. Glinsky, S. Lanteri.

Méthode Galerkin discontinue pour la propagation d'ondes sismiques en milieu viscoélastique, in: Congrès National d'Analyse Numérique (CANUM 2012), Superbesse, France, 2012.

Internal Reports

41S. Descombes, S. Lanteri, L. Moya.

Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations, Inria, May 2012, n^o RR-7983, 28 p.

http://hal.inria.fr/hal-00702802
42C. Durochat, C. Scheid.

Etude de convergence a-priori d'une méthode Galerkin discontinue en maillage hybride et non-conforme pour résoudre les équations de Maxwell instationnaires, Inria, Apr 2012, n^o RR-7933.

http://hal.inria.fr/hal-00688374

References in notes

43B. 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.
44B. Cockburn, C. Shu (editors)

Special issue on discontinuous Galerkin methods, J. Sci. Comput., Springer, 2005, vol. 22-23.
45C. Dawson (editor)

Special issue on discontinuous Galerkin methods, Comput. Meth. App. Mech. Engng., Elsevier, 2006, vol. 195.
46K. Aki, P. Richards.

Quantitative seismology, University Science Books, Sausalito, CA, USA, 2002.
47B. 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, p. 1319–1365.
48J. Hesthaven, T. Warburton.

Nodal discontinuous Galerkin methods: algorithms, analysis and applications, Springer Texts in Applied Mathematics, Springer Verlag, 2007.
49J. Jackson.

Classical Electrodynamics, Third edition, John Wiley and Sons, INC, 1998.
50A. Quarteroni, A. Valli.

Domain decomposition methods for partial differential equations, Numerical Mathematics and Scientific Computation, Oxford University Press, 1999.
51B. Smith, P. Bjorstad, W. Gropp.

Domain decomposition and parallel multilevel methods for elliptic partial differential equations, Cambridge University Press, 1996.
52P. Solin, K. Segeth, I. Dolezel.

Higher-order finite element methods, Studies in Advanced Mathematics, Chapman & Hall/CRC Press, 2003.
53A. Toselli, O. Widlund.

Domain Decomposition Methods. Algorithms and theory, Springer Series in Computational Mathematics, Springer Verlag, 2004, vol. 34.
54J. Virieux.

P-SV wave propagation in heterogeneous media: velocity-stress finite difference method, in: Geophysics, 1986, vol. 51, p. 889–901.
55K. 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, p. 302–307.

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