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 ◽

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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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 ◽

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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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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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 ◽

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 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 ◽

Author(s):

Diamandis N. Karamouzis

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

One Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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Generalized multiscale discontinuous Galerkin method for convection–diffusion equation in perforated media

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.11.001 ◽

2021 ◽

Author(s):

Eric T. Chung ◽

Uygulaana Kalachikova ◽

Maria Vasilyeva ◽

Valentin Alekseev

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation

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A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems

SIAM Journal on Scientific Computing ◽

10.1137/080728810 ◽

2009 ◽

Vol 31 (5) ◽

pp. 3827-3846 ◽

Author(s):

Bernardo Cockburn ◽

Bo Dong ◽

Johnny Guzmán ◽

Marco Restelli ◽

Riccardo Sacco

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125937 ◽

2021 ◽

Vol 397 ◽

pp. 125937

Author(s):

Ziming Dong ◽

Hong Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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A Staggered Discontinuous Galerkin Method for the Stokes System

SIAM Journal on Numerical Analysis ◽

10.1137/120896037 ◽

2013 ◽

Vol 51 (6) ◽

pp. 3327-3350 ◽

Author(s):

Hyea Hyun Kim ◽

Eric T. Chung ◽

Chak Shing Lee

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes System ◽

Staggered Discontinuous Galerkin Method

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Two-grid discontinuous Galerkin method for convection–diffusion-reaction equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113903 ◽

2021 ◽

pp. 113903

Author(s):

Liuqiang Zhong ◽

Yue Xuan ◽

Jintao Cui

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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An adaptive high-order discontinuous Galerkin method with error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case

Journal of Computational Physics ◽

10.1016/j.jcp.2007.05.003 ◽

2007 ◽

Vol 226 (1) ◽

pp. 1027-1058 ◽

Author(s):

Yanlai Chen ◽

Bernardo Cockburn

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Error Control ◽

One Dimensional ◽

The One ◽

Jacobi Equations ◽

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