Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems

Journal of Inequalities and Applications ◽

10.1186/s13660-017-1489-6 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Hui Bi ◽

Chengeng Qian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection–Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-018-0687-9 ◽

2018 ◽

Vol 76 (3) ◽

pp. 1868-1904 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1110-m3537 ◽

2012 ◽

Vol 30 (3) ◽

pp. 298-310 ◽

Author(s):

Tao Yu and Xingye Yue

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Exponentially Fitted ◽

Diffusion Problems

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Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection–diffusion and KdV equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.10.043 ◽

2007 ◽

Vol 196 (37-40) ◽

pp. 3805-3822 ◽

Author(s):

Yan Xu ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

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Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

Mathematics of Computation ◽

10.1090/s0025-5718-01-01317-5 ◽

2001 ◽

Vol 71 (238) ◽

pp. 455-479 ◽

Author(s):

Paul Castillo ◽

Bernardo Cockburn ◽

Dominik Schötzau ◽

Christoph Schwab

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Priori Error Estimates ◽

Diffusion Problems

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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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An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection–Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-007-9130-3 ◽

2007 ◽

Vol 32 (2) ◽

pp. 233-262 ◽

Author(s):

Bernardo Cockburn ◽

Bo Dong

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Minimal Dissipation ◽

Diffusion 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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Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions

Applications of Mathematics ◽

10.1007/s10492-010-0012-x ◽

2010 ◽

Vol 55 (5) ◽

pp. 353-372 ◽

Author(s):

Oto Havle ◽

Vít Dolejší ◽

Miloslav Feistauer

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20591 ◽

2010 ◽

Vol 27 (6) ◽

pp. 1456-1482 ◽

Author(s):

M. Vlasák ◽

V. Dolejší ◽

J. Hájek

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

A Priori Error Estimates ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Priori Error Estimates ◽

Diffusion Problems

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Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems

Numerische Mathematik ◽

10.1007/s00211-010-0348-x ◽

2010 ◽

Vol 117 (2) ◽

pp. 251-288 ◽

Author(s):

Miloslav Feistauer ◽

Václav Kučera ◽

Karel Najzar ◽

Jaroslava Prokopová

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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