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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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0189 ◽

2018 ◽

Vol 23 (3) ◽

Author(s):

Nianyu Yi ◽

Hailiang Liu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Energy Conserving ◽

Variational Wave

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Local discontinuous Galerkin method for the nonlocal one-way water wave equation

Journal of King Saud University - Science ◽

10.1016/j.jksus.2018.11.003 ◽

2019 ◽

Vol 31 (4) ◽

pp. 1014-1019

Author(s):

Shuming Liu ◽

Can Li

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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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 ◽

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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Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900371544 ◽

2001 ◽

Vol 39 (1) ◽

pp. 264-285 ◽

Author(s):

Bernardo Cockburn ◽

Guido Kanschat ◽

Ilaria Perugia ◽

Dominik Schötzau

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Cartesian Grids ◽

Local Discontinuous Galerkin

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