Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1502-m2014-0001 ◽

2015 ◽

Vol 33 (3) ◽

pp. 323-340 ◽

Author(s):

Yang Yang and Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Equations ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Linear Parabolic Equations

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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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Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions

Journal of Computational Physics ◽

10.1016/j.jcp.2015.02.041 ◽

2015 ◽

Vol 289 ◽

pp. 181-195 ◽

Author(s):

Li Guo ◽

Yang Yang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Equations ◽

Blow Up ◽

Local Discontinuous Galerkin Method ◽

Positivity Preserving ◽

Local Discontinuous Galerkin

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On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01335-5 ◽

2020 ◽

Vol 85 (2) ◽

Author(s):

P. Castillo ◽

S. Gómez

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Problem ◽

One Dimensional ◽

Local Discontinuous Galerkin

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Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0362-6 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 1290-1315 ◽

Author(s):

Lingling Zhou ◽

Yan Xu ◽

Zhimin Zhang ◽

Waixiang Cao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Local Discontinuous Galerkin

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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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Local Analysis of the Local Discontinuous Galerkin Method with Generalized Alternating Numerical Flux for One-Dimensional Singularly Perturbed Problem

Journal of Scientific Computing ◽

10.1007/s10915-017-0378-y ◽

2017 ◽

Vol 72 (2) ◽

pp. 792-819 ◽

Author(s):

Yao Cheng ◽

Qiang Zhang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problem ◽

Local Analysis ◽

One Dimensional ◽

Numerical Flux ◽

Local Discontinuous Galerkin

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Superconvergence of the Local Discontinuous Galerkin Method for One Dimensional Nonlinear Convection-Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-021-01446-7 ◽

2021 ◽

Vol 87 (1) ◽

Author(s):

Xiaobin Liu ◽

Dazhi Zhang ◽

Xiong Meng ◽

Boying Wu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Nonlinear Convection ◽

One Dimensional ◽

Convection Diffusion ◽

Local Discontinuous Galerkin

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Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations

Journal of Scientific Computing ◽

10.1007/s10915-021-01579-9 ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Qi Tao ◽

Waixiang Cao ◽

Zhimin Zhang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

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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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