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 ◽

Second Order ◽

Second Order Wave Equation ◽

One Space Dimension

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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 ◽

Author(s):

Lehel Banjai ◽

Emmanuil H. Georgoulis ◽

Oluwaseun Lijoka

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Second Order ◽

Polynomial Space ◽

Second Order Wave Equation

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A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.08.023 ◽

2014 ◽

Vol 68 (10) ◽

pp. 1250-1278 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Second Order Wave Equation

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A local discontinuous Galerkin method for the second-order wave equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.10.012 ◽

2012 ◽

Vol 209-212 ◽

pp. 129-143 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Local Discontinuous Galerkin ◽

Second Order Wave Equation

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Superconvergence of the local discontinuous galerkin method applied to the one-dimensional second-order wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21840 ◽

2013 ◽

Vol 30 (3) ◽

pp. 862-901 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Second Order Wave Equation ◽

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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 ◽

Author(s):

Andrea Moiola ◽

Ilaria Perugia

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Acoustic Wave Equation ◽

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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 ◽

Author(s):

Steffen Petersen ◽

Charbel Farhat ◽

Radek Tezaur

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

The Time Domain

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Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.007 ◽

2018 ◽

Vol 333 ◽

pp. 292-313 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Dimension ◽

Gordon Equation ◽

Local Discontinuous Galerkin Method ◽

Sine Gordon Equation ◽

Local Discontinuous Galerkin ◽

One Space Dimension

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Efficient simulation of one-dimensional two-phase flow with a high-order h-adaptive space-time Discontinuous Galerkin method

Computers & Fluids ◽

10.1016/j.compfluid.2017.06.010 ◽

2017 ◽

Vol 156 ◽

pp. 34-47 ◽

Author(s):

J.S.B. van Zwieten ◽

B. Sanderse ◽

M.H.W. Hendrix ◽

C. Vuik ◽

R.A.W.M. Henkes

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Two Phase ◽

One Dimensional ◽

Efficient Simulation

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Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension

Journal of Scientific Computing ◽

10.1007/s10915-015-0030-7 ◽

2015 ◽

Vol 66 (2) ◽

pp. 459-476 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Dimension ◽

Error Estimator ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws ◽

One Space Dimension

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Convergence analysis of an energy based discontinuous Galerkin method for the wave equation in second-order form: hp version

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.01.017 ◽

2020 ◽

Vol 79 (11) ◽

pp. 3223-3240 ◽

Author(s):

Yu Du ◽

Jiangxing Wang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Convergence Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Second Order ◽

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