Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Implicit Runge--Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations

Marlis Hochbruck and Tomislav Pažur
SIAM Journal on Numerical Analysis 53 (1) 485 (2015)
https://doi.org/10.1137/130944114

Finite Difference Methods,Theory and Applications

Fritz Kretzschmar, Sascha M. Schnepp, Herbert Egger, et al.
Lecture Notes in Computer Science, Finite Difference Methods,Theory and Applications 9045 50 (2015)
https://doi.org/10.1007/978-3-319-20239-6_5

A 3D curvilinear discontinuous Galerkin time-domain solver for nanoscale light–matter interactions

J. Viquerat and C. Scheid
Journal of Computational and Applied Mathematics 289 37 (2015)
https://doi.org/10.1016/j.cam.2015.03.028

3-D Modeling of Thin Sheets in the Discontinuous Galerkin Method for Transient Scattering Analysis

Mohamed Boubekeur, Abelin Kameni, Laurent Bernard, Axel Modave and Lionel Pichon
IEEE Transactions on Magnetics 50 (2) 493 (2014)
https://doi.org/10.1109/TMAG.2013.2284505

A non‐conforming multi‐element DGTD method for the simulation of human exposure to electromagnetic waves

Clément Durochat, Stéphane Lanteri and Raphaël Léger
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 27 (3) 614 (2014)
https://doi.org/10.1002/jnm.1943

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method 191 (2014)
https://doi.org/10.1201/b16579-11

Discontinuous Galerkin methods with Trefftz approximations

Fritz Kretzschmar, Sascha M. Schnepp, Igor Tsukerman and Thomas Weiland
Journal of Computational and Applied Mathematics 270 211 (2014)
https://doi.org/10.1016/j.cam.2014.01.033

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Ching-Shan Chou, Chi-Wang Shu and Yulong Xing
Journal of Computational Physics 272 88 (2014)
https://doi.org/10.1016/j.jcp.2014.04.009

A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles

Raphaël Léger, Jonathan Viquerat, Clément Durochat, Claire Scheid and Stéphane Lanteri
Journal of Computational and Applied Mathematics 270 330 (2014)
https://doi.org/10.1016/j.cam.2013.12.042

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

M. El Bouajaji, N. Gmati, S. Lanteri and J. Salhi
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 95 237 (2014)
https://doi.org/10.1007/978-3-319-01601-6_19

An Analysis of the Leap-Frog Discontinuous Galerkin Method for Maxwell's Equations

Jesus Alvarez, Luis D. Angulo, Miguel R. Cabello, A. Rubio Bretones and Salvador G. Garcia
IEEE Transactions on Microwave Theory and Techniques 62 (2) 197 (2014)
https://doi.org/10.1109/TMTT.2013.2295775

A Hybrid Time-Domain Discontinuous Galerkin-Boundary Integral Method for Electromagnetic Scattering Analysis

Ping Li, Yifei Shi, Li Jun Jiang and Hakan Bagci
IEEE Transactions on Antennas and Propagation 62 (5) 2841 (2014)
https://doi.org/10.1109/TAP.2014.2307294

Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system

Yingda Cheng, Andrew J. Christlieb and Xinghui Zhong
Journal of Computational Physics 279 145 (2014)
https://doi.org/10.1016/j.jcp.2014.08.041

Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

Jichun Li and Jan S. Hesthaven
Journal of Computational Physics 258 915 (2014)
https://doi.org/10.1016/j.jcp.2013.11.018

On a Canonical Form for Maxwell Equations and Convergence of Finite Element Schemes for a Vlasov-Maxwell System

M. Asadzadeh
Journal of Computational and Theoretical Transport 43 (1-7) 336 (2014)
https://doi.org/10.1080/00411450.2014.922102

Analysis of transient scattering problems using a discontinuous Galerkin method: application to the shielding effectiveness of enclosures with heterogeneous walls

Mohamed Boubekeur, Abelin Kameni, Lionel Pichon, Axel Modave and Christophe Geuzaine
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 27 (3) 626 (2014)
https://doi.org/10.1002/jnm.1968

A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwellʼs equation

Liang Li, Stéphane Lanteri and Ronan Perrussel
Journal of Computational Physics 256 563 (2014)
https://doi.org/10.1016/j.jcp.2013.09.003

Error-driven dynamicalhp-meshes with the Discontinuous Galerkin Method for three-dimensional wave propagation problems

Sascha M. Schnepp
Journal of Computational and Applied Mathematics 270 353 (2014)
https://doi.org/10.1016/j.cam.2013.12.038

Non-dissipative space–time hp-discontinuous Galerkin method for the time-dependent Maxwell equations

M. Lilienthal, S.M. Schnepp and T. Weiland
Journal of Computational Physics 275 589 (2014)
https://doi.org/10.1016/j.jcp.2014.07.015

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

S. Descombes, S. Lanteri and L. Moya
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 95 205 (2014)
https://doi.org/10.1007/978-3-319-01601-6_16

Higher-Order DG-FETD Modeling of Wideband Antennas With Resistive Loading

Fu-Gang Hu and Chao-Fu Wang
IEEE Antennas and Wireless Propagation Letters 12 1025 (2013)
https://doi.org/10.1109/LAWP.2013.2277886

High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations

Mohamed El Bouajaji and Stéphane Lanteri
Applied Mathematics and Computation 219 (13) 7241 (2013)
https://doi.org/10.1016/j.amc.2011.03.140

Energy conserving local discontinuous Galerkin methods for wave propagation problems

Yulong Xing, Ching-Shan Chou and Chi-Wang Shu
Inverse Problems & Imaging 7 (3) 967 (2013)
https://doi.org/10.3934/ipi.2013.7.967

A Leap-Frog Discontinuous Galerkin Time-Domain Method for HIRF Assessment

Jesus Alvarez, Luis Diaz Angulo, Amelia Rubio Bretones, Miguel Ruiz Cabello and Salvador G. Garcia
IEEE Transactions on Electromagnetic Compatibility 55 (6) 1250 (2013)
https://doi.org/10.1109/TEMC.2013.2265045

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 1 (2013)
https://doi.org/10.1007/978-3-642-33789-5_1

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 173 (2013)
https://doi.org/10.1007/978-3-642-33789-5_6

A Hybrid Electromagnetics-Circuit Simulation Method Exploiting Discontinuous Galerkin Finite Element Time Domain Method

Ping Li and Li Jun Jiang
IEEE Microwave and Wireless Components Letters 23 (3) 113 (2013)
https://doi.org/10.1109/LMWC.2013.2246149

Non-conformal and parallel discontinuous Galerkin time domain method for Maxwell’s equations: EM analysis of IC packages

Stylianos Dosopoulos, Bo Zhao and Jin-Fa Lee
Journal of Computational Physics 238 48 (2013)
https://doi.org/10.1016/j.jcp.2012.11.048

Dissipative scheme for discontinuous Galerkin time-domain method based on Verlet time-stepping

Da Peng, Xingji Tang, Hu Yang and Jianguo He
Journal of Electromagnetic Waves and Applications 27 (14) 1800 (2013)
https://doi.org/10.1080/09205071.2013.825887

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 241 (2013)
https://doi.org/10.1007/978-3-642-33789-5_9

An optimum PML for scattering problems in the time domain

Axel Modave, Abelin Kameni, Jonathan Lambrechts, et al.
The European Physical Journal Applied Physics 64 (2) 24502 (2013)
https://doi.org/10.1051/epjap/2013120447

Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time‐harmonic Maxwell's equations

Liang Li, Stéphane Lanteri and Ronan Perrussel
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 32 (3) 1112 (2013)
https://doi.org/10.1108/03321641311306196

Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell’s Equations

Stéphane Descombes, Stéphane Lanteri and Ludovic Moya
Journal of Scientific Computing 56 (1) 190 (2013)
https://doi.org/10.1007/s10915-012-9669-5

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 151 (2013)
https://doi.org/10.1007/978-3-642-33789-5_5

Modeling Backward Wave Propagation in Metamaterials by the Finite Element Time-Domain Method

Yunqing Huang, Jichun Li and Wei Yang
SIAM Journal on Scientific Computing 35 (1) B248 (2013)
https://doi.org/10.1137/120869869

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 195 (2013)
https://doi.org/10.1007/978-3-642-33789-5_7

High order non-conforming multi-element discontinuous Galerkin method for time domain electromagnetics

Clément Durochat, Stéphane Lanteri and Claire Scheid
Applied Mathematics and Computation 224 681 (2013)
https://doi.org/10.1016/j.amc.2013.08.069

Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell’s equations on Cartesian grids

Eric T. Chung, Patrick Ciarlet and Tang Fei Yu
Journal of Computational Physics 235 14 (2013)
https://doi.org/10.1016/j.jcp.2012.10.019

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 215 (2013)
https://doi.org/10.1007/978-3-642-33789-5_8

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 19 (2013)
https://doi.org/10.1007/978-3-642-33789-5_2

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 53 (2013)
https://doi.org/10.1007/978-3-642-33789-5_3

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Jichun Li and Yunqing Huang
Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 127 (2013)
https://doi.org/10.1007/978-3-642-33789-5_4

Recent advances on a DGTD method for time-domain electromagnetics

Stéphane Descombes, Clément Durochat, Stéphane Lanteri, et al.
Photonics and Nanostructures - Fundamentals and Applications 11 (4) 291 (2013)
https://doi.org/10.1016/j.photonics.2013.06.005

Integration of Arbitrary Lumped Multiport Circuit Networks Into the Discontinuous Galerkin Time-Domain Analysis

Ping Li and Li Jun Jiang
IEEE Transactions on Microwave Theory and Techniques 61 (7) 2525 (2013)
https://doi.org/10.1109/TMTT.2013.2261085

An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials

Jichun Li, Jiajia Wang Waters and Eric A. Machorro
Computer Methods in Applied Mechanics and Engineering 223-224 43 (2012)
https://doi.org/10.1016/j.cma.2012.02.016

Solving metamaterial Maxwell’s equations via a vector wave integro-differential equation

Yunqing Huang, Jichun Li and Wei Yang
Computers & Mathematics with Applications 63 (12) 1597 (2012)
https://doi.org/10.1016/j.camwa.2012.03.035

Efficient large scale electromagnetic simulations using dynamically adapted meshes with the discontinuous Galerkin method

Sascha M. Schnepp and Thomas Weiland
Journal of Computational and Applied Mathematics 236 (18) 4909 (2012)
https://doi.org/10.1016/j.cam.2011.12.005

Euro-Par 2011: Parallel Processing Workshops

Tristan Cabel, Joseph Charles and Stéphane Lanteri
Lecture Notes in Computer Science, Euro-Par 2011: Parallel Processing Workshops 7156 355 (2012)
https://doi.org/10.1007/978-3-642-29740-3_40

High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

Sébastien Jund, Stéphanie Salmon and Eric Sonnendrücker
Communications in Computational Physics 11 (3) 863 (2012)
https://doi.org/10.4208/cicp.100310.230511a

Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell’s equations

Ludovic Moya
ESAIM: Mathematical Modelling and Numerical Analysis 46 (5) 1225 (2012)
https://doi.org/10.1051/m2an/2012002

Optimal L2 Error Estimates for the Interior Penalty DG Method for Maxwell’s Equations in Cold Plasma

Jichun Li
Communications in Computational Physics 11 (2) 319 (2012)
https://doi.org/10.4208/cicp.011209.160610s

Modeling of Waveguide Structures Using DG-FETD Method With Higher Order Tetrahedral Elements

Fu-Gang Hu and Chao-Fu Wang
IEEE Transactions on Microwave Theory and Techniques 60 (7) 2046 (2012)
https://doi.org/10.1109/TMTT.2012.2193138

A Spurious-Free Discontinuous Galerkin Time-Domain Method for the Accurate Modeling of Microwave Filters

Jesus Alvarez, Luis Angulo, Amelia Rubio Bretones and Salvador G. Garcia
IEEE Transactions on Microwave Theory and Techniques 60 (8) 2359 (2012)
https://doi.org/10.1109/TMTT.2012.2202683

A Comparative Study of Three Finite Element-Based Explicit Numerical Schemes for Solving Maxwell's Equations

Xiaolei Li and Jian-Ming Jin
IEEE Transactions on Antennas and Propagation 60 (3) 1450 (2012)
https://doi.org/10.1109/TAP.2011.2180341

Frontiers in Numerical Analysis - Durham 2010

Qiang Chen and Peter Monk
Lecture Notes in Computational Science and Engineering, Frontiers in Numerical Analysis - Durham 2010 85 149 (2011)
https://doi.org/10.1007/978-3-642-23914-4_3

Interior penalty DG methods for Maxwell’s equations in dispersive media

Yunqing Huang, Jichun Li and Wei Yang
Journal of Computational Physics 230 (12) 4559 (2011)
https://doi.org/10.1016/j.jcp.2011.02.031

Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains

H. Fahs
International Journal of Computer Mathematics 88 (10) 2124 (2011)
https://doi.org/10.1080/00207160.2010.527960

Domain Decomposition Methods in Science and Engineering XIX

Victorita Dolean, Mohamed El Bouajaji, Martin J. Gander, Stéphane Lanteri and Ronan Perrussel
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XIX 78 15 (2011)
https://doi.org/10.1007/978-3-642-11304-8_2

Development of discontinuous Galerkin methods for Maxwell’s equations in metamaterials and perfectly matched layers

Jichun Li
Journal of Computational and Applied Mathematics 236 (5) 950 (2011)
https://doi.org/10.1016/j.cam.2011.04.040

Spectral and High Order Methods for Partial Differential Equations

Victorita Dolean, Hassan Fahs, Loula Fezoui and Stéphane Lanteri
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 163 (2011)
https://doi.org/10.1007/978-3-642-15337-2_13

An MPI/GPU parallelization of an interior penalty discontinuous Galerkin time domain method for Maxwell's equations

Stylianos Dosopoulos, Judith D. Gardiner and Jin‐Fa Lee
Radio Science 46 (3) (2011)
https://doi.org/10.1029/2011RS004689

Discontinuous Galerkin time‐domain method for GPR simulation of conducting objects

L.D. Diaz Angulo, J. Alvarez, S.G. Garcia, A. Rubio Bretones and R. Gomez Martin
Near Surface Geophysics 9 (3) 257 (2011)
https://doi.org/10.3997/1873-0604.2011004

Discontinuous Galerkin frequency domain forward modelling for the inversion of electric permittivity in the 2D case

Mohamed El Bouajaji, Stéphane Lanteri and Matthew Yedlin
Geophysical Prospecting 59 (5) 920 (2011)
https://doi.org/10.1111/j.1365-2478.2011.00973.x

Calculation of the SAR Induced in Head Tissues Using a High-Order DGTD Method and Triangulated Geometrical Models

Hassan Fahs, Abdelhamid Hadjem, Stéphane Lanteri, Joe Wiart and Man-Fai Wong
IEEE Transactions on Antennas and Propagation 59 (12) 4669 (2011)
https://doi.org/10.1109/TAP.2011.2165471

Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains

Toufic Abboud, Patrick Joly, Jerónimo Rodrı´guez and Isabelle Terrasse
Journal of Computational Physics 230 (15) 5877 (2011)
https://doi.org/10.1016/j.jcp.2011.03.062

Interior Penalty Discontinuous Galerkin Method for the Time-Domain Maxwell's Equations

Stylianos Dosopoulos and Jin-Fa Lee
IEEE Transactions on Magnetics 46 (8) 3512 (2010)
https://doi.org/10.1109/TMAG.2010.2043235

A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics

Hassan Fahs and Stéphane Lanteri
Journal of Computational and Applied Mathematics 234 (4) 1088 (2010)
https://doi.org/10.1016/j.cam.2009.05.015

Source and Boundary Implementation in Vector and Scalar DGTD

J Alvarez, Luis D Angulo, M Fernandez Pantoja, A Rubio Bretones and Salvador G Garcia
IEEE Transactions on Antennas and Propagation 58 (6) 1997 (2010)
https://doi.org/10.1109/TAP.2010.2046857

Recent Achievements on a DGTD Method for Time-Domain Electromagnetics

Hassan Fahs, Loula Fezoui, Stéphane Lanteri, Victorita Dolean and Francesca Rapetti
IEEE Transactions on Magnetics 46 (8) 3061 (2010)
https://doi.org/10.1109/TMAG.2010.2043342

An implicit discontinuous Galerkin time‐domain method for two‐dimensional electromagnetic wave propagation

Adrien Catella, Victorita Dolean and Stéphane Lanteri
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 29 (3) 602 (2010)
https://doi.org/10.1108/03321641011028215

Interconnect and lumped elements modeling in interior penalty discontinuous Galerkin time-domain methods

Stylianos Dosopoulos and Jin-Fa Lee
Journal of Computational Physics 229 (22) 8521 (2010)
https://doi.org/10.1016/j.jcp.2010.07.036

Interior Penalty Discontinuous Galerkin Finite Element Method for the Time-Dependent First Order Maxwell's Equations

Stylianos Dosopoulos and Jin-Fa Lee
IEEE Transactions on Antennas and Propagation 58 (12) 4085 (2010)
https://doi.org/10.1109/TAP.2010.2078445

Locally implicit discontinuous Galerkin method for time domain electromagnetics

Victorita Dolean, Hassan Fahs, Loula Fezoui and Stéphane Lanteri
Journal of Computational Physics 229 (2) 512 (2010)
https://doi.org/10.1016/j.jcp.2009.09.038

Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally refined grids with fictitious domains

A. Bouquet, C. Dedeban and S. Piperno
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 29 (3) 578 (2010)
https://doi.org/10.1108/03321641011028206

Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study

P. Joly and J. Rodríguez
Journal of Computational and Applied Mathematics 234 (6) 1953 (2010)
https://doi.org/10.1016/j.cam.2009.08.046

Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma

Yunqing Huang and Jichun Li
Journal of Scientific Computing 41 (3) 321 (2009)
https://doi.org/10.1007/s10915-009-9300-6

Numerical convergence and physical fidelity analysis for Maxwell’s equations in metamaterials

Jichun Li
Computer Methods in Applied Mechanics and Engineering 198 (37-40) 3161 (2009)
https://doi.org/10.1016/j.cma.2009.05.018

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods

Victorita Dolean, Stéphane Lanteri and Ronan Perrussel
Journal of Computational Physics 227 (3) 2044 (2008)
https://doi.org/10.1016/j.jcp.2007.10.004

An Unconditionally Stable Discontinuous Galerkin Method for Solving the 2-D Time-Domain Maxwell Equations on Unstructured Triangular Meshes

A. Catella, V. Dolean and S. Lanteri
IEEE Transactions on Magnetics 44 (6) 1250 (2008)
https://doi.org/10.1109/TMAG.2007.916578

A finite volume method for the approximation of Maxwell’s equations in two space dimensions on arbitrary meshes

F. Hermeline, S. Layouni and P. Omnes
Journal of Computational Physics 227 (22) 9365 (2008)
https://doi.org/10.1016/j.jcp.2008.05.013

Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods

V. Dolean, H. Fol, S. Lanteri and R. Perrussel
Journal of Computational and Applied Mathematics 218 (2) 435 (2008)
https://doi.org/10.1016/j.cam.2007.05.026

Preliminary Investigation of a Nonconforming Discontinuous Galerkin Method for Solving the Time-Domain Maxwell Equations

H. Fahs, L. Fezoui, S. Lanteri and F. Rapetti
IEEE Transactions on Magnetics 44 (6) 1254 (2008)
https://doi.org/10.1109/TMAG.2007.916577