• Discontinuous Galerkin (and finite volume) time-domain methods

S. Piperno, M. Remaki and L. Fezoui
A nondiffusive finite volume scheme for the three-dimensional Maxwell's equations on unstructured meshes
SIAM J. Numer. Anal., Vol. 39, No. 6, pp. 2089-2108 (2002)
L. Fezoui, S. Lanteri, S. Lohrengel and S. Piperno
Convergence and stability of a Discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
ESAIM: Math. Model. and Numer. Anal., Vol. 39, No. 6, pp. 1149-1176 (2005)
M. Bernacki, S. Lanteri and S. Piperno
Time-domain parallel simulation of heterogeneous wave propagation on unstructured grids using explicit, non-diffusive, discontinuous Galerkin methods
J. Comput. Acoust., Vol. 14, No. 1, pp. 57-81 (2006)
M. Bernacki, L. Fezoui, S. Lanteri and S. Piperno
Parallel Discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimensional wave propagation problems
Appl. Math. Model., Vol. 30, No. 8 pp. 744-763 (2006)
H. Fahs, L. Fezoui, S. Lanteri and F. Rapetti
Preliminary investigation of a non-conforming discontinuous Galerkin method for solving the time-domain Maxwell equations
IEEE Trans. Magn., Vol. 44, No. 6, pp. 1254-1257 (2008)
H. Fahs, S. Lanteri and F. Rapetti
A hp-like discontinuous Galerkin method for solving the 2D time-domain Maxwell's equations on non-conforming locally refined triangular meshes
INRIA RR-6162 on Hyper Article Online
A. Catella, V. Dolean and S. Lanteri
An implicit DGTD method for solving the two-dimensional Maxwell equations on unstructured triangular meshes
INRIA RR-6110 on Hyper Article Online
IEEE Trans. Magn., Vol. 44, No. 6, pp. 1250-1253 (2008)
H. Fahs
Development of a hp-like discontinuous Galerkin time-domain method on non-conforming simplicial meshes for electromagnetic wave propagation
Int. J. Numer. Anal. Mod., Vol. 6, No. 2, pp. 193-216 (2009)
Also available on INRIA RR-6311 on Hyper Article Online
H. Fahs
High-order Leap-Frog based discontinuous Galerkin method for the time-domain Maxwell equations on non-conforming simplicial meshes
Numer. Math. Theor. Meth. Appl., Vol. 2, No. 3, pp. 275-300 (2009)
H. Fahs and S. Lanteri
A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
J. Comput. Appl. Math., Vol. 234, pp. 1088-1096 (2010)
Also available on INRIA RR-6699 on Hyper Article Online
V. Dolean, H. Fahs, L. Fezoui and S. Lanteri
Locally implicit discontinuous Galerkin method for time domain electromagnetics
J. Comput. Phys., Vol. 229, No. 2, pp. 512-526 (2010)
Available on INRIA RR-6990 on Hyper Article Online
V.Dolean, H. Fahs, L. Fezoui and S. Lanteri
Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics
Proceedings of the Spectral and High Order Methods for Partial Differential Equations (ICOSAHOM)
LNCSE, Springer Verlag, Vol. 76, pp. 163-170 (2011)
L. Moya
Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations
ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 46, pp. 1225-1246 (2012)
Available on INRIA RR-7533 on Hyper Article Online
S. Lanteri and R. Perrussel
An implicit hybridized discontinuous Galerkin method for time-domain Maxwell's equations
Available on INRIA RR-7578 on Hyper Article Online
C. Scheid and S. Lanteri
Convergence of a Discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media
IMA J. Numer. Anal., Vol. 33, No. 2, pp. 432-459 (2013)
Available on INRIA RR-7634 on Hyper Article Online
  • Discontinuous Galerkin time-harmonic methods

V. Dolean, H. Fol, S. Lanteri and R. Perrussel
Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods
J. Comput. Appl. Math., Vol. 218, No. 2, pp. 435-445 (2008)
Also available on Hyper Article Online
M. El Bouajaji and S. Lanteri
High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations
Appl. Math. Comput., Vol. 219, No. 13, pp. 7241-7251 (2013)
  • Domain decomposition methods

V. Dolean, L. Gerardo-Giorda and M. Gander
Optimized Schwarz methods for Maxwell equations
SIAM J. Scient. Comp., Vol. 31, No. 3, pp. 2193–2213 (2009)
Also available on Hyper Article Online
V. Dolean, S. Lanteri and R. Perrussel
A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods
J. Comput. Phys., Vol. 227, No. 3, pp. 2044-2072 (2008)
Also available as INRIA RR-6620 on Hyper Article Online
V. Dolean, S. Lanteri and R. Perrussel
Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method
IEEE Trans. Magn., Vol. 44, No. 6, pp. 954-957 (2008)
Also available on Hyper Article Online
V.Dolean, M. El Bouajaji, M. J. Gander, S. Lanteri and R. Perrussel
Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains
Proceedings of the 19th International Conference on Domain Decomposition Methods - DD19
LNCSE, Springer Verlag, Vol. 78, pp. 15-16 (2011)
Preprint also available on Hyper Article Online
V. Dolean, M. El Bouajaji, M. J. Gander and S. Lanteri
Optimized Schwarz methods for Maxwell’s equations with non-zero electric conductivity
Proceedings of the 19th International Conference on Domain Decomposition Methods - DD19
LNCSE, Springer Verlag, Vol. 78, pp. 269-276 (2011)
Preprint also available on Hyper Article Online
M. El Bouajaji, V. Dolean, M. J. Gander and S. Lanteri
Comparison of a one and two parameter family of transmission conditions for Maxwell’s equations with damping
Accepted for publication in the Proceedings of 20th International Conference on Domain Decomposition Methods DD20 (2012)
Preprint also available on Hyper Article Online
M. El Bouajaji, V.Dolean, M. J. Gander and S. Lanteri
Optimized Schwarz methods for the time-harmonic Maxwell equations with damping
SIAM J. Sci. Comp., Vol. 34, No. 4, pp. A2048-A2071 (2012)
Preprint also available on Hyper Article Online
  • Computational bioelectromagnetics

G. Scarella, O. Clatz, S. Lanteri, G. Beaume, S. Oudot, J.-P. Pons, S. Piperno, P. Joly and J. Wiart
Realistic numerical modelling of human head tissue exposure to electromagnetic waves from cellular phones
Comptes Rendus Physique, Vol. 7, No. 5, pp. 501-508 (2006)
H. Fahs, A. Hadjem, S. Lanteri, J. Wiart and M.F. Wong
Calculation of the SAR induced in head tissues using a high order DGTD method and triangulated geometrical models
IEEE Trans. Ant. Propag., Vol. 59, No. 12, pp. 4669-4678 (2011)
  • Computational geoseismics

M. Benjemaa, N. Glinsky-Olivier, V.M. Cruz-Atienza, J. Virieux and S. Piperno
Dynamic non-planar crack rupture by a finite volume method
Geophys. J. Int., Vol. 171, No. 1, pp. 271-285 (2007)
S. Delcourte,L. Fezoui and N. Glinsky-Olivier
A high-order discontinuous Galerkin method for the seismic wave propagation
ESAIM: proceedings, Vol. 27, pp. 70-89 (2009)
M. Benjemaa, N. Glinsky-Olivier, V.M. Cruz-Atienza and J. Virieux
3D dynamic rupture simulations by a finite volume method
Geophys. J. Int., Vol. 178, No. 1, pp. 541-560 (2009)
V. Etienne, E. Chaljub, N. Glinsky-Olivier and J. Virieux
An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling
Geophys. J. Int., Vol. 183, No. 2, pp. 941–962 (2010)
F. Peyrusse, N. Glinsky, C. Gelis and S. Lanteri
A nodal discontinuous Galerkin method for site effects assessment in viscoelastic media--verification and validation in the Nice basin
Geophys. J. Int., Vol. 199, No. 1, pp. 315-334 (2014)