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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Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1105364 ◽

2015 ◽

Vol 94 (2) ◽

pp. 316-344 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gordon Equation ◽

Local Discontinuous Galerkin Method ◽

Sine Gordon Equation ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Energy Conserving ◽

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Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drr047 ◽

2012 ◽

Vol 32 (4) ◽

pp. 1294-1328 ◽

Author(s):

X. Meng ◽

C.-W. Shu ◽

B. Wu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Space Dimension ◽

Local Discontinuous Galerkin Method ◽

Time Dependent ◽

Local Discontinuous Galerkin ◽

Time Dependent Problems ◽

One Space Dimension

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Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.11.007 ◽

2017 ◽

Vol 113 ◽

pp. 124-155 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gordon Equation ◽

Local Discontinuous Galerkin Method ◽

Cartesian Grids ◽

Sine Gordon Equation ◽

Local Discontinuous Galerkin

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The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part I: Superconvergence Error Analysis

Journal of Scientific Computing ◽

10.1007/s10915-013-9782-0 ◽

2013 ◽

Vol 59 (3) ◽

pp. 795-840 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Space Dimension ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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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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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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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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A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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Simulation study of planar and nonplanar super rogue waves in an electronegative plasma: Local discontinuous Galerkin method

Physics of Plasmas ◽

10.1063/1.4983327 ◽

2017 ◽

Vol 24 (5) ◽

pp. 052118 ◽

Author(s):

S. A. El-Tantawy ◽

Tarek Aboelenen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Simulation Study ◽

Local Discontinuous Galerkin Method ◽

Rogue Waves ◽

Local Discontinuous Galerkin ◽

Electronegative Plasma

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Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

Chinese Physics B ◽

10.1088/1674-1056/20/11/110205 ◽

2011 ◽

Vol 20 (11) ◽

pp. 110205 ◽

Author(s):

Rong-Pei Zhang ◽

Xi-Jun Yu ◽

Guo-Zhong Zhao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Burgers Equations ◽

Local Discontinuous Galerkin

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