Weighted discontinuous Galerkin method for diffusion equation with non-smooth coefficients on distorted polygonal meshes

Scientia Sinica Mathematica ◽

10.1360/ssm-2020-0159 ◽

2021 ◽

Author(s):

Zhang Rongpei ◽

Yu Xijun ◽

Li Mingjun

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Polygonal Meshes ◽

Smooth Coefficients

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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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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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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 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 ◽

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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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 ◽

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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Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation

Numerical Algorithms ◽

10.1007/s11075-010-9379-8 ◽

2010 ◽

Vol 56 (2) ◽

pp. 159-184 ◽

Author(s):

Kassem Mustapha ◽

William McLean

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Piecewise Linear ◽

Fractional Diffusion ◽

Fractional 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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Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.11.007 ◽

2021 ◽

Vol 104 ◽

pp. 44-49

Author(s):

Daxin Nie ◽

Weihua Deng

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Laplacian ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Discontinuous Galerkin

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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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