A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain

Steffen Petersen; Charbel Farhat; Radek Tezaur

doi:10.1002/nme.2485

A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2485 ◽

2008 ◽

Vol 78 (3) ◽

pp. 275-295 ◽

Cited By ~ 31

Author(s):

Steffen Petersen ◽

Charbel Farhat ◽

Radek Tezaur

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Space Time ◽

The Time Domain

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Discontinuous Galerkin Method for the Time-domain Maxwell’s Equations

Computational Fluid Dynamics 2002 ◽

10.1007/978-3-642-59334-5_20 ◽

2003 ◽

pp. 153-158

Author(s):

Adour V. Kabakian ◽

Vijaya Shankar ◽

William F. Hall

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

The Time Domain

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Room acoustics modelling in the time-domain with the nodal discontinuous Galerkin method

The Journal of the Acoustical Society of America ◽

10.1121/1.5096154 ◽

2019 ◽

Vol 145 (4) ◽

pp. 2650-2663 ◽

Cited By ~ 7

Author(s):

Huiqing Wang ◽

Indra Sihar ◽

Raúl Pagán Muñoz ◽

Maarten Hornikx

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Room Acoustics ◽

Nodal Discontinuous Galerkin Method ◽

The Time Domain

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A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation

Numerische Mathematik ◽

10.1007/s00211-017-0910-x ◽

2017 ◽

Vol 138 (2) ◽

pp. 389-435 ◽

Cited By ~ 5

Author(s):

Andrea Moiola ◽

Ilaria Perugia

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Acoustic Wave Equation ◽

First Order

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A high-order space–time ultra-weak discontinuous Galerkin method for the second-order wave equation in one space dimension

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113331 ◽

2021 ◽

Vol 389 ◽

pp. 113331

Author(s):

Mahboub Baccouch ◽

Helmi Temimi

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Dimension ◽

Space Time ◽

Second Order ◽

High Order ◽

Second Order Wave Equation ◽

One Space Dimension

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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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An Efficient Fast Algorithm for Accelerating the Time-Domain Integral Equation Discontinuous Galerkin Method

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2017.2722871 ◽

2017 ◽

Vol 65 (9) ◽

pp. 4919-4924 ◽

Cited By ~ 3

Author(s):

G. S. Cheng ◽

D. Z. Ding ◽

R. S. Chen

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Fast Algorithm ◽

Domain Integral ◽

Time Domain Integral Equation ◽

The Time Domain

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

IEEE Transactions on Magnetics ◽

10.1109/tmag.2010.2043235 ◽

2010 ◽

Vol 46 (8) ◽

pp. 3512-3515 ◽

Cited By ~ 5

Author(s):

Stylianos Dosopoulos ◽

Jin-Fa Lee

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Interior Penalty ◽

The Time Domain

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A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/16m1065744 ◽

2017 ◽

Vol 55 (1) ◽

pp. 63-86 ◽

Cited By ~ 7

Author(s):

Lehel Banjai ◽

Emmanuil H. Georgoulis ◽

Oluwaseun Lijoka

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Second Order ◽

Polynomial Space ◽

Second Order Wave Equation

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A discontinuous Galerkin method for seismic soil–structure interaction analysis in the time domain

Earthquake Engineering & Structural Dynamics ◽

10.1002/eqe.353 ◽

2004 ◽

Vol 33 (2) ◽

pp. 285-293 ◽

Cited By ~ 8

Author(s):

Si-Hwan Park ◽

Nicolas Antin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Soil Structure ◽

Interaction Analysis ◽

Soil Structure Interaction ◽

Structure Interaction ◽

The Time Domain

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A parallel and non-conformal Interior Penalty Discontinuous Galerkin method for the time-domain Maxwell'S equations

2011 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2011.5997229 ◽

2011 ◽

Author(s):

S. Dosopoulos ◽

Jin-Fa Lee

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Interior Penalty ◽

The Time Domain

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