Publications on DG methods

E. Agullo, L. Giraud, A. Gobé, M. Kuhn, S. Lanteri and L. Moya
High order HDG method and domain decomposition solvers for frequency‐domain electromagnetics
Int. J. Numer. Model. Electr. Netw. Dev. Fields, Vol. 33, No. 2 (2019)

N. Schmitt, C. Scheid, J. Viquerat and S. Lanteri
Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method
J. Comput. Phys., Vol. 373, pp. 210–229 (2018)

A. Christophe, S. Descombes and S. Lanteri
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations
Appl. Math. Comput., Vol. 319, pp. 395-408 (2018)

L. Li, S. Lanteri, N.A. Mortensen and M. Wubs
A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
Comput. Phys. Comm., Vol. 219, pp. 99-107 (2017)

H. Wang, L. Xu, B. Li, S. Descombes and S. Lanteri
A new family of exponential-based high order DGTD methods for modelling 3D transient multiscale electromagnetic problems
IEEE Trans. Ant. Propag., Vol. 65, No. 11, pp. 5960-5974 (2017)

S. Lanteri, C. Scheid and J. Viquerat
Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics
SIAM J. Sci. Comp., Vol. 39, No. 3, pp. A831–A859 (2017)

S. Descombes, S. Lanteri and L. Moya
Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media
J. Comput. Appl. Math., Vol. 316, pp. 122-132 (2017)

N. Schmitt, C. Scheid, S. Lanteri, A. Moreau and J. Viquerat
A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects
J. Comput. Phys., Vol. 316, pp. 396–415 (2016)

J. Viquerat and S. Lanteri
Simulation of near-field plasmonic interactions with a local approximation order discontinuous Galerkin time-domain method
Photonics and Nanostructures - Fundamentals and Applications, Vol. 18, pp. 43–58 (2016)

S. Descombes, S. Lanteri and L. Moya
Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues
SIAM J. Sci. Comp., Vol. 38, No. 5, pp. A2611–A2633 (2016)

S. Descombes and S. Lanteri and L. Moya
Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media
J. Comp. Appl. Math., Vol. 316, pp. 122-132 (2016)

Y.-X. He, L. Li, S. Lanteri and T.-Z. Huang
Optimized Schwarz algorithms for solving time-harmonic Maxwell’s equations discretized by a hybridizable Discontinuous Galerkin method
Comp. Phys. Comm., Vol. 200, pp. 176–181 (2016)

R. Léger, J. Viquerat, C. Durochat, C. Scheid and S. Lanteri
A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles
J. Comp. Appl. Math., Vol. 270, pp. 330–342 (2013)

J. Gopalakrishnan, S. Lanteri, N. Olivares and R. Perrussel
Stabilization in relation to wavenumber in HDG methods
Adv. Model. Simul. Engng. Scienc., Vol. 2, No. 13 (2015)

M.E. Bouajaji, V. Dolean, M. Gander, S. Lanteri and R. Perrussel
Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell’s equations
Electr. Trans. Numer. Anal., Vol. 44, pp. 572–592 (2015)

L. Li, S. Lanteri and R. Perrussel
A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations
Comp. Phys. Comm., Vol. 192, pp. 23–31 (2015)

L. Li, S. Lanteri and R. Perrussel
A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell’s equations
J. Comput. Phys., Vol. 256, pp. 563–581 (2014)

S. Lanteri and C. Scheid
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)

M.E. 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)

L. Moya, S. Descombes and S. Lanteri
Locally implicit time integration strategies in a dis- continuous Galerkin method for Maxwell’s equations
J. Sci. Comp., Vol. 56, No. 1, pp. 190–218 (2013)

C. Durochat, S. Lanteri and C. Scheid
High order non-conforming multi-element discontinuous Galerkin method for time domain electromagnetics
Appl. Math. Comput., Vol. 224, pp. 681–704 (2013)

L. Li, S. Lanteri and R. Perrussel
Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell’s equations
COMPEL, Vol. 32, No. 3, pp. 1112–1138 (2013)

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)

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)

V. Dolean, H. Fahs, L. Fezoui, S. Lanteri and F. Rapetti
Recent achievements on a DGTD method for time-domain electromagnetics
IEEE Trans. Magn., Vol. 46, No. 8, pp. 3061-306 (2010)

A. Catella, V. Dolean and S. Lanteri
An implicit discontinuous Galerkin time-domain method for two-dimensional electromagnetic wave propagation
COMPEL, Vol. 29, No. 3, pp. 602-625 (2010)

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)

M. El Bouajaji, S. Lanteri and M. Yedlin
Discontinuous Galerkin frequency domain forward modelling for the inversion of electric permittivity in the 2D case
Geophys. Prosp., Vol. 59, No. 5, pp. 920-933 (2011)

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)

V. Dolean, H. Fol, S. Lanteri and R. Perrussel
Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods
J. Comp. Appl. Math., Vol. 218, No. 2 pp. 435-445 (2008)

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)

A. Catella, V. Dolean and S. Lanteri
An unconditionally stable discontinuous Galerkin method for solving the 2D time-domain Maxwell equations on unstructured triangular meshes
IEEE Trans. Magn., Vol. 44, No. 6, pp. 1250-1253 (2008)

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)

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)

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)