EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 40 5 (2006) 815-841 Article references

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:

High-order accurate implicit-explicit time-stepping schemes for wave equations on overset grids

Allison M. Carson, Jeffrey W. Banks, William D. Henshaw and Donald W. Schwendeman
Journal of Computational Physics 520 113513 (2025)
https://doi.org/10.1016/j.jcp.2024.113513

Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations

Constantin Carle and Marlis Hochbruck
Mathematics of Computation (2024)
https://doi.org/10.1090/mcom/3952

A Parallel-GPU DGTD Algorithm with a Third-Order LTS Scheme for Solving Multi-Scale Electromagnetic Problems

Marlon J. Lizarazo and Elson J. Silva
Mathematics 12 (23) 3663 (2024)
https://doi.org/10.3390/math12233663

Space–Time Adaptive Modeling and Shape Optimization of Microwave Structures With Applications to Metasurface Design

Qiming Zhao and Costas D. Sarris
IEEE Transactions on Microwave Theory and Techniques 70 (12) 5440 (2022)
https://doi.org/10.1109/TMTT.2022.3197806

A New Explicit–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 32 (11) 1263 (2022)
https://doi.org/10.1109/LMWC.2022.3178377

Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes

Constantin Carle and Marlis Hochbruck
SIAM Journal on Numerical Analysis 60 (5) 2897 (2022)
https://doi.org/10.1137/21M1427255

High‐order discontinuous Galerkin method for time‐domain electromagnetics on geometry‐independent Cartesian meshes

Héctor Navarro‐García, Rubén Sevilla, Enrique Nadal and Juan José Ródenas
International Journal for Numerical Methods in Engineering 122 (24) 7632 (2021)
https://doi.org/10.1002/nme.6846

Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation

Martyna Soszyńska and Thomas Richter
BIT Numerical Mathematics 61 (4) 1367 (2021)
https://doi.org/10.1007/s10543-021-00854-3

Discontinuous Galerkin Time Domain Methods for Multiscale and Multiphysics Simulations: A Review

Yilin Dong, Shi-Gang Zhou, Min Tang and Ping Li
IEEE Journal on Multiscale and Multiphysics Computational Techniques 6 132 (2021)
https://doi.org/10.1109/JMMCT.2021.3119709

An arbitrary high-order discontinuous Galerkin method with local time-stepping for linear acoustic wave propagation

Huiqing Wang, Matthias Cosnefroy and Maarten Hornikx
The Journal of the Acoustical Society of America 149 (1) 569 (2021)
https://doi.org/10.1121/10.0003340

GPU-Accelerated Hybrid Discontinuous Galerkin Time Domain Algorithm With Universal Matrices and Local Time Stepping Method

Zhen Guo Ban, Yan Shi, Qi Yang, et al.
IEEE Transactions on Antennas and Propagation 68 (6) 4738 (2020)
https://doi.org/10.1109/TAP.2020.2972404

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)
https://doi.org/10.1109/TAP.2019.2951545

A third-order multirate Runge–Kutta scheme for finite volume solution of 3D time-dependent Maxwell’s equations

Marina Kotovshchikova, Dmitry K. Firsov and Shiu Hong Lui
Communications in Applied Mathematics and Computational Science 15 (1) 65 (2020)
https://doi.org/10.2140/camcos.2020.15.65

High‐order Padé and singly diagonally Runge‐Kutta schemes for linear ODEs, application to wave propagation problems

Hélène Barucq, Marc Duruflé and Mamadou N'Diaye
Numerical Methods for Partial Differential Equations 34 (2) 760 (2018)
https://doi.org/10.1002/num.22228

Arbitrary High-Order Explicit Hybridizable Discontinuous Galerkin Methods for the Acoustic Wave Equation

Svenja Schoeder, Martin Kronbichler and Wolfgang A. Wall
Journal of Scientific Computing 76 (2) 969 (2018)
https://doi.org/10.1007/s10915-018-0649-2

Unification of Leapfrog and Crank--Nicolson Finite Difference Time Domain Methods

Wouter Tierens
SIAM Journal on Scientific Computing 40 (1) A306 (2018)
https://doi.org/10.1137/16M1079634

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)
https://doi.org/10.1049/iet-map.2017.0896

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)
https://doi.org/10.1137/16M110037X

Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation

Marcus J. Grote, Michaela Mehlin and Stefan A. Sauter
SIAM Journal on Numerical Analysis 56 (2) 994 (2018)
https://doi.org/10.1137/17M1121925

An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations

Alexandra Christophe, Stéphane Descombes and Stéphane Lanteri
Applied Mathematics and Computation 319 395 (2018)
https://doi.org/10.1016/j.amc.2017.04.023

Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term

Homa Zadvan and Jalil Rashidinia
Numerical Algorithms 74 (2) 289 (2017)
https://doi.org/10.1007/s11075-016-0149-0

Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations

Gary Cohen and Sébastien Pernet
Scientific Computation, Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations 315 (2017)
https://doi.org/10.1007/978-94-017-7761-2_7

A New Family of Exponential-Based High-Order DGTD Methods for Modeling 3-D Transient Multiscale Electromagnetic Problems

Hao Wang, Li Xu, Bin Li, Stephane Descombes and Stephane Lanteri
IEEE Transactions on Antennas and Propagation 65 (11) 5960 (2017)
https://doi.org/10.1109/TAP.2017.2752223

MultiLevel Local Time-Stepping Methods of Runge--Kutta-type for Wave Equations

Martin Almquist and Michaela Mehlin
SIAM Journal on Scientific Computing 39 (5) A2020 (2017)
https://doi.org/10.1137/16M1084407

Symplectic Hamiltonian HDG methods for wave propagation phenomena

M.A. Sánchez, C. Ciuca, N.C. Nguyen, J. Peraire and B. Cockburn
Journal of Computational Physics 350 951 (2017)
https://doi.org/10.1016/j.jcp.2017.09.010

Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations

Marlis Hochbruck and Andreas Sturm
SIAM Journal on Numerical Analysis 54 (5) 3167 (2016)
https://doi.org/10.1137/15M1038037

Simulation of near-field plasmonic interactions with a local approximation order discontinuous Galerkin time-domain method

Jonathan Viquerat and Stéphane Lanteri
Photonics and Nanostructures - Fundamentals and Applications 18 43 (2016)
https://doi.org/10.1016/j.photonics.2015.12.004

Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation

Marcus J. Grote, Michaela Mehlin and Teodora Mitkova
SIAM Journal on Scientific Computing 37 (2) A747 (2015)
https://doi.org/10.1137/140958293

Multi-level explicit local time-stepping methods for second-order wave equations

Julien Diaz and Marcus J. Grote
Computer Methods in Applied Mechanics and Engineering 291 240 (2015)
https://doi.org/10.1016/j.cma.2015.03.027

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

Efficient Antenna Modeling by DGTD: Leap-frog discontinuous Galerkin timedomain method

Jesus Alvarez, Luis Diaz Angulo, Amelia Rubio Bretones, Carlos M. de Jong van Coevorden and Salvatore G. Garcia
IEEE Antennas and Propagation Magazine 57 (3) 95 (2015)
https://doi.org/10.1109/MAP.2015.2437279

A Nodal Continuous-Discontinuous Galerkin Time-Domain Method for Maxwell's Equations

Luis Diaz Angulo, Jesus Alvarez, Fernando L. Teixeira, M. Fernandez Pantoja and Salvador G. Garcia
IEEE Transactions on Microwave Theory and Techniques 63 (10) 3081 (2015)
https://doi.org/10.1109/TMTT.2015.2472411

Numerical Local Time Stepping Solutions for Transient Statistical Energy Analysis

Oriol Guasch and Carlos García
Journal of Vibration and Acoustics 136 (6) (2014)
https://doi.org/10.1115/1.4028454

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

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

Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwellʼs equations

L.D. Angulo, J. Alvarez, F.L. Teixeira, M.F. Pantoja and S.G. Garcia
Journal of Computational Physics 256 678 (2014)
https://doi.org/10.1016/j.jcp.2013.09.010

Domain Decomposition Methods in Science and Engineering XX

Martin J. Gander and Laurence Halpern
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XX 91 377 (2013)
https://doi.org/10.1007/978-3-642-35275-1_44

Discontinuous Galerkin Time-Domain Methods for Multiscale Electromagnetic Simulations: A Review

Jiefu Chen and Qing Huo Liu
Proceedings of the IEEE 101 (2) 242 (2013)
https://doi.org/10.1109/JPROC.2012.2219031

Local time stepping with the discontinuous Galerkin method for wave propagation in 3D heterogeneous media

Sara Minisini, Elena Zhebel, Alexey Kononov and Wim A. Mulder
GEOPHYSICS 78 (3) T67 (2013)
https://doi.org/10.1190/geo2012-0252.1

Locally Implicit Discontinuous Galerkin Finite Element Method for Transient Analysis of 3D Layered Structures with Electrically Small Details

Jiefu Chen,, Luis Tobon, and Qing Huo Liu
Microwave and Optical Technology Letters 55 (8) 1912 (2013)
https://doi.org/10.1002/mop.27673

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

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

High-order explicit local time-stepping methods for damped wave equations

Marcus J. Grote and Teodora Mitkova
Journal of Computational and Applied Mathematics 239 270 (2013)
https://doi.org/10.1016/j.cam.2012.09.046

Modeling of acoustic wave propagation in time-domain using the discontinuous Galerkin method – A comparison with measurements

Simo-Pekka Simonaho, Timo Lähivaara and Tomi Huttunen
Applied Acoustics 73 (2) 173 (2012)
https://doi.org/10.1016/j.apacoust.2011.08.001

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

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

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

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

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

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

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

Local Timestepping Techniques Using Taylor Expansion for Modeling Electromagnetic Wave Propagation With Discontinuous Galerkin-FEM

S. Schomann, N. Godel, T. Warburton and M. Clemens
IEEE Transactions on Magnetics 46 (8) 3504 (2010)
https://doi.org/10.1109/TMAG.2010.2043656

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

Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems

Abdelaâziz Ezziani and Patrick Joly
Journal of Computational and Applied Mathematics 234 (6) 1886 (2010)
https://doi.org/10.1016/j.cam.2009.08.094

GPU Accelerated Adams–Bashforth Multirate Discontinuous Galerkin FEM Simulation of High-Frequency Electromagnetic Fields

Nico Godel, Steffen Schomann, Tim Warburton and Markus Clemens
IEEE Transactions on Magnetics 46 (8) 2735 (2010)
https://doi.org/10.1109/TMAG.2010.2043655

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

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

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

Explicit local time-stepping methods for Maxwell’s equations

Marcus J. Grote and Teodora Mitkova
Journal of Computational and Applied Mathematics 234 (12) 3283 (2010)
https://doi.org/10.1016/j.cam.2010.04.028

Solving the advection–diffusion equation on unstructured meshes with discontinuous/mixed finite elements and a local time stepping procedure

Ch. P. El Soueidy, A. Younes and P. Ackerer
International Journal for Numerical Methods in Engineering 79 (9) 1068 (2009)
https://doi.org/10.1002/nme.2609

Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations

Julien Diaz and Marcus J. Grote
SIAM Journal on Scientific Computing 31 (3) 1985 (2009)
https://doi.org/10.1137/070709414

Dissipative terms and local time-stepping improvements in a spatial high order Discontinuous Galerkin scheme for the time-domain Maxwell’s equations

E. Montseny, S. Pernet, X. Ferriéres and G. Cohen
Journal of Computational Physics 227 (14) 6795 (2008)
https://doi.org/10.1016/j.jcp.2008.03.032

A well‐balanced Runge–Kutta discontinuous Galerkin method for the shallow‐water equations with flooding and drying

A. Ern, S. Piperno and K. Djadel
International Journal for Numerical Methods in Fluids 58 (1) 1 (2008)
https://doi.org/10.1002/fld.1674

Application of implicit–explicit high order Runge–Kutta methods to discontinuous-Galerkin schemes

Alex Kanevsky, Mark H. Carpenter, David Gottlieb and Jan S. Hesthaven
Journal of Computational Physics 225 (2) 1753 (2007)
https://doi.org/10.1016/j.jcp.2007.02.021