Time-Stepping and Convergence Characteristics of the Discontinuous Galerkin Time-Domain Approach for the Maxwell Equations

2016 ◽

Author(s):

Su Yan ◽

Jian-Ming Jin

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Maxwell Equations

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

Journal of Electromagnetic Waves and Applications ◽

10.1080/09205071.2013.825887 ◽

2013 ◽

Vol 27 (14) ◽

pp. 1800-1814

Author(s):

Da Peng ◽

Xingji Tang ◽

Hu Yang ◽

Jianguo He

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Time Domain Method ◽

Time Stepping ◽

Domain Method

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Multirate Technique for Explicit Discontinuous Galerkin Computations of Time-Domain Maxwell Equations on Complex Geometries

IEEE Transactions on Magnetics ◽

10.1109/tmag.2015.2480537 ◽

2016 ◽

Vol 52 (3) ◽

pp. 1-4 ◽

Cited By ~ 1

Author(s):

A. Kameni ◽

B. Seny ◽

L. Pichon

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Maxwell Equations ◽

Complex Geometries

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Discontinuous Galerkin Time Domain Method with A Local Time Stepping Algorithm

2018 IEEE International Conference on Computational Electromagnetics (ICCEM) ◽

10.1109/compem.2018.8496711 ◽

2018 ◽

Author(s):

Zhiqi Liu ◽

Yan Shi

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Time Domain ◽

Time Domain Method ◽

Time Stepping ◽

Domain Method ◽

Local Time Stepping

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HP a-priori error estimates for a non-dissipative spectral discontinuous Galerkin method to solve the Maxwell equations in the time domain

Mathematics of Computation ◽

10.1090/s0025-5718-07-01991-6 ◽

2007 ◽

Vol 76 (260) ◽

pp. 1801-1833 ◽

Cited By ~ 16

Author(s):

S. Pernet ◽

X. Ferrieres

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Priori Error Estimates ◽

The Time Domain

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

Journal of Computational Physics ◽

10.1016/j.jcp.2008.03.032 ◽

2008 ◽

Vol 227 (14) ◽

pp. 6795-6820 ◽

Cited By ~ 87

Author(s):

E. Montseny ◽

S. Pernet ◽

X. Ferriéres ◽

G. Cohen

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Time Domain ◽

High Order ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping ◽

The Time Domain ◽

Dissipative Terms

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.023 ◽

2018 ◽

Vol 319 ◽

pp. 395-408 ◽

Cited By ~ 2

Author(s):

Alexandra Christophe ◽

Stéphane Descombes ◽

Stéphane Lanteri

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell Equations ◽

Hybridized Discontinuous Galerkin Method

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An Explicit Hybridizable Discontinuous Galerkin Method for the 3D Time-Domain Maxwell Equations

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 ◽

10.1007/978-3-030-39647-3_41 ◽

2020 ◽

pp. 513-523

Author(s):

Georges Nehmetallah ◽

Stéphane Lanteri ◽

Stéphane Descombes ◽

Alexandra Christophe

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2020.2972404 ◽

2020 ◽

Vol 68 (6) ◽

pp. 4738-4752

Author(s):

Zhen Guo Ban ◽

Yan Shi ◽

Qi Yang ◽

Peng Wang ◽

Shi Chen Zhu ◽

...

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Time Domain ◽

Time Stepping ◽

Local Time Stepping

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High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2009.m8018 ◽

2009 ◽

Vol 2 (3) ◽

pp. 275-300 ◽

Cited By ~ 8

Author(s):

Hassan Fahs

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell Equations ◽

High Order ◽

The Time Domain

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Time-Stepping and Convergence Characteristics of the Discontinuous Galerkin Time-Domain Approach for the Maxwell Equations

Discontinuous Galerkin time-domain solution of the purely hyperbolic maxwell equations

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

Multirate Technique for Explicit Discontinuous Galerkin Computations of Time-Domain Maxwell Equations on Complex Geometries

Discontinuous Galerkin Time Domain Method with A Local Time Stepping Algorithm

HP a-priori error estimates for a non-dissipative spectral discontinuous Galerkin method to solve the Maxwell equations in the time domain

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

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

An Explicit Hybridizable Discontinuous Galerkin Method for the 3D Time-Domain Maxwell Equations

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

High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

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