Bounded Error Schemes for the Wave Equation on Complex Domains, Journal of Scientific Computing, vol.14, issue.4, 1998. ,
DOI : 10.1007/s10915-004-4800-x
Time-domain methods for the Maxwell equations, Royal Institute of Technologie, 2001. ,
Parallel discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimensional wave propagation problems, Applied Mathematical Modelling, vol.30, issue.8, pp.744-763, 2006. ,
DOI : 10.1016/j.apm.2005.06.015
URL : https://hal.archives-ouvertes.fr/hal-00607722
Solving Maxwell equations in a closed cavity, and the question of 'spurious modes', IEEE Transactions on Magnetics, vol.26, issue.2, pp.702-705, 1990. ,
DOI : 10.1109/20.106414
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes, Journal of Computational and Applied Mathematics, vol.204, issue.2, pp.317-333, 2007. ,
DOI : 10.1016/j.cam.2006.01.042
An upwinding embedded boundary method for Maxwell???s equations in media with material interfaces: 2D case, Journal of Computational Physics, vol.190, issue.1, pp.159-183, 2003. ,
DOI : 10.1016/S0021-9991(03)00269-9
Discontinuous Galerkin time???domain solution of Maxwell's equations on locally???refined nonconforming Cartesian grids, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.24, issue.4, pp.1381-1401, 2005. ,
DOI : 10.1108/03321640510615670
A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell???s equations in time domain, Journal of Computational Physics, vol.217, issue.2, pp.340-363, 2006. ,
DOI : 10.1016/j.jcp.2006.01.004
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell???s equations, Journal of Computational Physics, vol.211, issue.1, pp.9-35, 2006. ,
DOI : 10.1016/j.jcp.2005.03.035
Analysis and Application of an Orthogonal Nodal Basis on Triangles for Discontinuous Spectral Element Methods, Applied Numerical Analysis & Computational Mathematics, vol.134, issue.3, pp.326-345, 2005. ,
DOI : 10.1002/anac.200510007
Convergent Cartesian Grid Methods for Maxwell's Equations in Complex Geometries, Journal of Computational Physics, vol.170, issue.1, pp.39-80, 2001. ,
DOI : 10.1006/jcph.2001.6719
Staircase-free finite-difference time-domain formulation for general materials in complex geometries, IEEE Transactions on Antennas and Propagation, vol.49, issue.5, pp.749-755, 2001. ,
DOI : 10.1109/8.929629
Intégration numérique et éléments finis d'ordre élevé appliqués aux équations de Maxwell en régime harmonique, 2006. ,
Etude de stabilité d'une méthode Galerkin discontinu pour la résolution numérique des équations de Maxwell 2D en domaine temporel sur des maillages triangulaires non-conformes, Research Report, vol.6023, 2006. ,
A hp-like discontinuous Galerkin method for solving the 2D time-domain Maxwell's equations on non-conforming locally refined triangular meshes, Research Report, vol.6162, 2007. ,
Multi-domain pseudospectral time-domain simulations of scattering by objects buried in lossy media, IEEE Trans. Geosci. Remote Sens, vol.40, issue.6, pp.1366-1373, 2002. ,
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.6, pp.1149-1176, 2006. ,
DOI : 10.1051/m2an:2005049
URL : https://hal.archives-ouvertes.fr/hal-00210500
High-order accurate methods in time-domain computational electromagnetics: A review, Adv. Imaging Elec. Phys, vol.127, pp.59-123, 2003. ,
DOI : 10.1016/S1076-5670(03)80097-6
Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements, Journal of Computational Physics, vol.155, issue.2, pp.287-306, 1999. ,
DOI : 10.1006/jcph.1999.6333
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, issue.1816, pp.493-524, 2004. ,
DOI : 10.1098/rsta.2003.1332
High-order accurate methods for Maxwell equations, 2004. ,
Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions, Journal of Computational Physics, vol.200, issue.2, pp.549-580, 2004. ,
DOI : 10.1016/j.jcp.2004.02.022
A new family of mixed finite elements in ?3, Numerische Mathematik, vol.39, issue.1, pp.57-81, 1986. ,
DOI : 10.1007/BF01389668
Schémas en éléments finis discontinus localement raffinés en espace et en temps pour les équations de Maxwell 1D, Research Report, vol.4986, 2003. ,
Simplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems, pp.815-841, 2006. ,
Helicopter rotor-blade modulation of antenna radiation characteristics, IEEE Transactions on Antennas and Propagation, vol.49, issue.5, pp.688-696, 2001. ,
DOI : 10.1109/8.929622
Anhp-adaptive finite element method for scattering problems in computational electromagnetics, International Journal for Numerical Methods in Engineering, vol.57, issue.9, pp.1226-1249, 2005. ,
DOI : 10.1002/nme.1227
State-of-the-art, trends and directions in computational electromagnetics, Comput. Meth. Eng. Sci, vol.5, pp.287-294, 2004. ,
An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems, SIAM Review, vol.45, issue.1, pp.53-72, 2003. ,
DOI : 10.1137/S00361445023830
Realistic numerical modelling of human head tissue exposure to electromagnetic waves from cellular phones, Comptes Rendus Physique, vol.7, issue.5, pp.501-508, 2006. ,
DOI : 10.1016/j.crhy.2006.03.002
Two Dimensional Multidomain Pseudospectral Time-Domain Algorithm Based on Alternating-Direction Implicit Method, IEEE Transactions on Antennas and Propagation, vol.54, issue.4, pp.1207-1214, 2006. ,
DOI : 10.1109/TAP.2006.872591
Advances in computational electrodynamics, the finite-difference time-domain method, Artech House, 1998. ,
Regularization techniques for numerical approximation of PDEs with singularities, Journal of Scientific Computing, vol.19, issue.1/3, pp.527-552, 2003. ,
DOI : 10.1023/A:1025332815267
Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients, Appl. Numer. Math, vol.33, issue.1-4, pp.125-134, 2000. ,
On the construction of a high order difference scheme for complex domains in a Cartesian grid, Applied Numerical Mathematics, vol.33, issue.1-4, pp.1-4113, 2000. ,
DOI : 10.1016/S0168-9274(99)00074-4
A Staggered Upwind Embedded Boundary (SUEB) Method to Eliminate the FDTD Staircasing Error, IEEE Transactions on Antennas and Propagation, vol.52, issue.3, pp.730-741, 2004. ,
DOI : 10.1109/TAP.2004.824675
An Explicit Fourth-Order Orthogonal Curvilinear Staggered-Grid FDTD Method for Maxwell's Equations, Journal of Computational Physics, vol.175, issue.2, pp.739-763, 2002. ,
DOI : 10.1006/jcph.2001.6965
Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas and Propagat, vol.14, issue.3, pp.302-307, 1966. ,
A Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations, Journal of Computational Physics, vol.168, issue.2, pp.286-315, 2001. ,
DOI : 10.1006/jcph.2001.6691
High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces, Journal of Computational Physics, vol.200, issue.1, pp.60-103, 2004. ,
DOI : 10.1016/j.jcp.2004.03.008
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.356
route des Lucioles -BP 93 -06902 Sophia Antipolis Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université -ZAC des Vignes 4, 2004. ,
Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt, Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex ,
BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399 ,