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International Journal for Numerical Methods in Engineering 116 (4) 223 (2018)
DOI: 10.1002/nme.5922
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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)
DOI: 10.1108/03321641011028206
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Influence of periodically fluctuating material parameters on the stability of explicit high-order spectral element methods

Ruben Sevilla and Régis Cottereau
Journal of Computational Physics 373 304 (2018)
DOI: 10.1016/j.jcp.2018.07.002
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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)
DOI: 10.1016/j.cam.2011.12.005
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Handling the divergence constraints in Maxwell and Vlasov–Maxwell simulations

Martin Campos Pinto, Marie Mounier and Eric Sonnendrücker
Applied Mathematics and Computation 272 403 (2016)
DOI: 10.1016/j.amc.2015.07.089
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A Space-Time Discontinuous Galerkin Trefftz Method for Time Dependent Maxwell's Equations

Herbert Egger, Fritz Kretzschmar, Sascha M. Schnepp and Thomas Weiland
SIAM Journal on Scientific Computing 37 (5) B689 (2015)
DOI: 10.1137/140999323
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Unified error analysis for nonconforming space discretizations of wave-type equations

David Hipp, Marlis Hochbruck and Christian Stohrer
IMA Journal of Numerical Analysis 39 (3) 1206 (2019)
DOI: 10.1093/imanum/dry036
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POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell's equations

Kun Li, Ting-Zhu Huang, Liang Li and Stéphane Lanteri
Journal of Computational Physics 396 106 (2019)
DOI: 10.1016/j.jcp.2019.05.051
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Simulating backward wave propagation in metamaterial with radial basis functions

Jichun Li and Bing Nan
Results in Applied Mathematics 2 100009 (2019)
DOI: 10.1016/j.rinam.2019.100009
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Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials

Adérito Araújo, Sílvia Barbeiro and Maryam Khaksar Ghalati
Journal of Mathematics in Industry 8 (1) (2018)
DOI: 10.1186/s13362-018-0051-6
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An asynchronous spacetime discontinuous Galerkin finite element method for time domain electromagnetics

Reza Abedi and Saba Mudaliar
Journal of Computational Physics 351 121 (2017)
DOI: 10.1016/j.jcp.2017.09.001
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Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method

Nikolai Schmitt, Claire Scheid, Jonathan Viquerat and Stéphane Lanteri
Journal of Computational Physics 373 210 (2018)
DOI: 10.1016/j.jcp.2018.06.033
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The Multiscale Hybrid-Mixed method for the Maxwell Equations in Heterogeneous Media

Stéphane Lanteri, Diego Paredes, Claire Scheid and Frédéric Valentin
Multiscale Modeling & Simulation 16 (4) 1648 (2018)
DOI: 10.1137/16M110037X
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Error-driven dynamical hp-meshes with the Discontinuous Galerkin Method for three-dimensional wave propagation problems

Sascha M. Schnepp
Journal of Computational and Applied Mathematics 270 353 (2014)
DOI: 10.1016/j.cam.2013.12.038
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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)
DOI: 10.1016/j.cam.2013.12.042
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Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics

S. Lanteri, C. Scheid and J. Viquerat
SIAM Journal on Scientific Computing 39 (3) A831 (2017)
DOI: 10.1137/15M105207X
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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)
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Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients

Ching-Shan Chou, Yukun Li and Dongbin Xiu
Journal of Computational Physics 381 52 (2019)
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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)
DOI: 10.1007/978-3-642-33789-5_8
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A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media

Kun Li, Ting-Zhu Huang, Liang Li and Stéphane Lanteri
Journal of Computational and Applied Mathematics 336 249 (2018)
DOI: 10.1016/j.cam.2017.12.051
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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)
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PML Implementation in a Nonconforming Mixed-Element DGTD Method for Periodic Structure Analysis

Huaguang Bao, Lei Kang, Sawyer D. Campbell and Douglas H. Werner
IEEE Transactions on Antennas and Propagation 67 (11) 6979 (2019)
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Partial Differential Equations

J. Charles Gilbert and Patrick Joly
Computational Methods in Applied Sciences, Partial Differential Equations 16 67 (2008)
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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)
DOI: 10.1007/978-3-642-11304-8_2
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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)
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Transparent boundary conditions for a discontinuous Galerkin Trefftz method

Herbert Egger, Fritz Kretzschmar, Sascha M. Schnepp, Igor Tsukerman and Thomas Weiland
Applied Mathematics and Computation 267 42 (2015)
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Global optimization of metasurface designs using statistical learning methods

Mahmoud M. R. Elsawy, Stéphane Lanteri, Régis Duvigneau, et al.
Scientific Reports 9 (1) (2019)
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Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials

Adérito Araújo, Sílvia Barbeiro and Maryam Khaksar Ghalati
Communications in Computational Physics 21 (5) 1350 (2017)
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Solving Maxwell's Equation in Meta-Materials by a CG-DG Method

Ziqing Xie, Jiangxing Wang, Bo Wang and Chuanmiao Chen
Communications in Computational Physics 19 (5) 1242 (2016)
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Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally‐refined nonconforming Cartesian grids

N. Canouet, L. Fezoui and S. Piperno
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 24 (4) 1381 (2005)
DOI: 10.1108/03321640510615670
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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)
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A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations

Qi Tao, Yan Xu and Chi-Wang Shu
Journal of Computational and Applied Mathematics 386 113230 (2021)
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A new family of discontinuous finite element methods for elliptic problems in the whole space

Mondher Benjemaa and Amal Nasri
Mathematical Methods in the Applied Sciences 42 (9) 2949 (2019)
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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)
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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)
DOI: 10.1007/978-3-642-33789-5_4
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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)
DOI: 10.1007/978-3-642-33789-5_3
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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)
DOI: 10.1007/978-3-642-33789-5_7
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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)
DOI: 10.1007/978-3-642-33789-5_9
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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)
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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)
DOI: 10.1007/978-3-642-33789-5_2
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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)
DOI: 10.1007/978-3-642-33789-5_5
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A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects

Nikolai Schmitt, Claire Scheid, Stéphane Lanteri, Antoine Moreau and Jonathan Viquerat
Journal of Computational Physics 316 396 (2016)
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Time-domain finite element method and analysis for modeling of surface plasmon polaritons

Wei Yang, Jichun Li and Yunqing Huang
Computer Methods in Applied Mechanics and Engineering 372 113349 (2020)
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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)
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Improved Estimation of Time Step Bound for Discontinuous Galerkin Time-Domain Method

Zhen Guo Ban, Yan Shi and Peng Wang
IEEE Antennas and Wireless Propagation Letters 20 (9) 1731 (2021)
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A leap-frog discontinuous Galerkin time-domain method of analyzing electromagnetic scattering problems

Xue-Wu Cui, Feng Yang, Long-Jian Zhou, et al.
Chinese Physics B 26 (10) 104101 (2017)
DOI: 10.1088/1674-1056/26/10/104101
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Improved local time‐stepping algorithm for leap‐frog discontinuous Galerkin time‐domain method

Xuewu Cui, Feng Yang and Min Gao
IET Microwaves, Antennas & Propagation 12 (6) 963 (2018)
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Long-Time Instability of Pseudospectral Time-Domain Method in Curvilinear Coordinates

Michael Yeung and Eytan Barouch
IEEE Transactions on Antennas and Propagation 68 (4) 2993 (2020)
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A Novel Imposing Source Approach in the Implicit Hybridizable Discontinuous Galerkin Time-Domain Method for Electromagnetics

Xing Li, Li Xu, Zhong-Hai Yang and Bin Li
IEEE Microwave and Wireless Components Letters 30 (4) 327 (2020)
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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)
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High order discontinuous Galerkin methods for time-domain and frequency-domain nanophotonics

T. Chaumont-Frelet, S. Descombes, A. Gobé, Mostafa Javadzadeh Moghtader, S. Lanteri, C. Scheid, N. Schmitt and J. Viquerat
Journal of Physics: Conference Series 1461 (1) 012080 (2020)
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An Exponential-Based DGTD Method for Modeling 3-D Plasma-Surrounded Hypersonic Vehicles

Hao Wang, Li Xu, Bin Li, Stephane Descombes and Stephane Lanteri
IEEE Transactions on Antennas and Propagation 68 (5) 3847 (2020)
DOI: 10.1109/TAP.2020.2963923
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Bayesian optimization and rigorous modelling of a highly efficient 3D metamaterial mode converter

Mahmoud M. R. Elsawy, Karim Hassan, Salim Boutami and Stéphane Lanteri
OSA Continuum 3 (6) 1721 (2020)
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High-Accurate Non-Uniform Grids for System-Combined ADI-FDTD Method in Near-Field Scattering With Proper CFL Factor

Naixing Feng, Yuxian Zhang, Jinfeng Zhu, Qingsheng Zeng and Guo Ping Wang
IEEE Access 9 18550 (2021)
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Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations

Jiangxing Wang
Discrete & Continuous Dynamical Systems - B 26 (5) 2429 (2021)
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Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials

Jichun Li, Cengke Shi and Chi-Wang Shu
Computers & Mathematics with Applications 73 (8) 1760 (2017)
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An SO-DGTD method of modeling dispersive media

Qian Yang, Bing Wei, Linqian Li, Renxian Li and Debiao Ge
Waves in Random and Complex Media 31 (2) 389 (2021)
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Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems

Guosheng Fu and Chi-Wang Shu
Journal of Computational Physics 394 329 (2019)
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A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures

Shinhoo Kang, Tan Bui-Thanh and Todd Arbogast
Computer Methods in Applied Mechanics and Engineering 350 315 (2019)
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Discontinuous Galerkin time domain analysis of electromagnetic scattering from dispersive periodic nanostructures at oblique incidence

Huaguang Bao, Lei Kang, Sawyer D. Campbell and Douglas H. Werner
Optics Express 27 (9) 13116 (2019)
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Stylianos Dosopoulos and Jin-Fa Lee
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I. Badzagua, D. Eremian, B. Khvitia, Z. Kuchadze, G. Chiqovani, Z. Sukhiashvili, A. Gheonjian and R. Jobava
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A scalable exponential-DG approach for nonlinear conservation laws: With application to Burger and Euler equations

Shinhoo Kang and Tan Bui-Thanh
Computer Methods in Applied Mechanics and Engineering 385 114031 (2021)
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Analysis of Screening Effects on Terahertz Photoconductive Devices Using a Fully-Coupled Multiphysics Approach

Liang Chen and Hakan Bagci
Journal of Lightwave Technology 39 (24) 7876 (2021)
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On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems

Jesse Chan and T. Warburton
Computers & Mathematics with Applications 74 (12) 3099 (2017)
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