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 ◽

Non Linear

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An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0695-9 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1490-1518 ◽

Cited By ~ 3

Author(s):

Jie Du ◽

Eric Chung

Keyword(s):

Steady State ◽

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Staggered Discontinuous Galerkin Method

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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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A staggered discontinuous Galerkin method for the convection–diffusion equation

Journal of Numerical Mathematics ◽

10.1515/jnum-2012-0001 ◽

2012 ◽

Vol 20 (1) ◽

pp. 1-32 ◽

Cited By ~ 47

Author(s):

E. Chung ◽

C. S. Lee

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Staggered Discontinuous Galerkin Method

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Two-level multigrid analysis for the convection-diffusion equation discretized by a discontinuous Galerkin method

Numerical Linear Algebra with Applications ◽

10.1002/nla.441 ◽

2005 ◽

Vol 12 (5-6) ◽

pp. 563-584 ◽

Cited By ~ 9

Author(s):

M. H. van Raalte ◽

P. W. Hemker

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation

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A local discontinuous Galerkin method for a doubly nonlinear diffusion equation arising in shallow water modeling

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.11.016 ◽

2010 ◽

Vol 199 (23-24) ◽

pp. 1424-1436 ◽

Cited By ~ 6

Author(s):

Mauricio Santillana ◽

Clint Dawson

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Diffusion ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Diffusion Equation ◽

Local Discontinuous Galerkin ◽

Doubly Nonlinear

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

Mathematics of Computation ◽

10.1090/mcom/3141 ◽

2016 ◽

Vol 86 (305) ◽

pp. 1233-1267 ◽

Cited By ~ 17

Author(s):

Yao Cheng ◽

Xiong Meng ◽

Qiang Zhang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Local Discontinuous Galerkin

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The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.09.001 ◽

2020 ◽

Vol 148 ◽

pp. 61-78 ◽

Cited By ~ 2

Author(s):

Afaf Bouharguane ◽

Nour Seloula

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Local Discontinuous Galerkin

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Central local discontinuous Galerkin method for the space fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.02.002 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1274-1287 ◽

Cited By ~ 2

Author(s):

Jing Sun ◽

Daxin Nie ◽

Weihua Deng

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Discontinuous Galerkin ◽

Space Fractional Diffusion Equation

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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 ◽

Cited By ~ 1

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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A space discontinuous Galerkin method for the one-dimensional unsteady convection-diffusion equation

Water Resources Management ◽

10.1007/bf00431142 ◽

1990 ◽

Vol 4 (3) ◽

pp. 175-185 ◽

Cited By ~ 1

Author(s):

Diamandis N. Karamouzis

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

One Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

The One

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