Computational aspects of the multiscale discontinuous Galerkin method for convection-diffusion-reaction problems

Electronic Research Archive ◽

10.3934/era.2020101 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

ShinJa Jeong ◽

◽

Mi-Young Kim

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Computational Aspects

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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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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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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 discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.035 ◽

2021 ◽

Vol 97 ◽

pp. 175-206

Author(s):

Di Yang ◽

Yinnian He

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion

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A Hybridisable Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion-Reaction Equations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.090419.041219 ◽

2020 ◽

Vol 10 (3) ◽

pp. 455-484

Author(s):

Wei Pi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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A multiscale discontinuous Galerkin method for convection–diffusion–reaction problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.08.007 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2251-2261 ◽

Author(s):

Mi-Young Kim ◽

Mary F. Wheeler

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion

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A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110894 ◽

2021 ◽

pp. 110894

Author(s):

Assyr Abdulle ◽

Giacomo Rosilho de Souza

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems

SIAM Journal on Scientific Computing ◽

10.1137/18m1172491 ◽

2019 ◽

Vol 41 (3) ◽

pp. A1899-A1922 ◽

Author(s):

Vít Dolejší ◽

Georg May ◽

Ajay Rangarajan ◽

Filip Roskovec

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mesh Adaptation ◽

Diffusion Reaction ◽

Anisotropic Mesh ◽

Convection Diffusion ◽

Anisotropic Mesh Adaptation

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A high order discontinuous Galerkin method with skeletal multipliers for convection–diffusion–reaction problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.08.027 ◽

2019 ◽

Vol 343 ◽

pp. 207-233

Author(s):

Mi-Young Kim ◽

Dong-wook Shin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion

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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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