Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes

Emmanuil H. Georgoulis; Edward Hall; Paul Houston

doi:10.1137/060672352

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes

SIAM Journal on Scientific Computing ◽

10.1137/060672352 ◽

2008 ◽

Vol 30 (1) ◽

pp. 246-271 ◽

Cited By ~ 39

Author(s):

Emmanuil H. Georgoulis ◽

Edward Hall ◽

Paul Houston

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Reaction ◽

Galerkin Methods ◽

Advection Diffusion ◽

Refined Meshes

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hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015059 ◽

2016 ◽

Vol 50 (3) ◽

pp. 699-725 ◽

Cited By ~ 27

Author(s):

Andrea Cangiani ◽

Zhaonan Dong ◽

Emmanuil H. Georgoulis ◽

Paul Houston

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Reaction ◽

Galerkin Methods ◽

Advection Diffusion

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Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems

SIAM Journal on Numerical Analysis ◽

10.1137/080719583 ◽

2009 ◽

Vol 47 (2) ◽

pp. 1391-1420 ◽

Cited By ~ 67

Author(s):

Blanca Ayuso ◽

L. Donatella Marini

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Reaction ◽

Galerkin Methods ◽

Advection Diffusion

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On the Stability of Continuous–Discontinuous Galerkin Methods for Advection–Diffusion–Reaction Problems

Journal of Scientific Computing ◽

10.1007/s10915-013-9707-y ◽

2013 ◽

Vol 57 (2) ◽

pp. 313-330 ◽

Cited By ~ 11

Author(s):

Andrea Cangiani ◽

John Chapman ◽

Emmanuil Georgoulis ◽

Max Jensen

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Reaction ◽

Galerkin Methods ◽

Advection Diffusion ◽

The Stability

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A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L^2 Error Estimates

Communications in Computational Physics ◽

10.4208/cicp.2009.v6.p203 ◽

2009 ◽

pp. 203-230 ◽

Cited By ~ 8

Author(s):

Kaixin Wang ◽

Hong Wang ◽

Mohamed Al-Lawatia ◽

Hongxing Rui

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Optimal Order ◽

Galerkin Methods ◽

Advection Diffusion

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Numerical Relativistic Magnetohydrodynamics with ADER Discontinuous Galerkin methods on adaptively refined meshes.

Journal of Physics Conference Series ◽

10.1088/1742-6596/719/1/012024 ◽

2016 ◽

Vol 719 ◽

pp. 012024

Author(s):

O Zanotti ◽

M Dumbser ◽

F Fambri

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Refined Meshes ◽

Relativistic Magnetohydrodynamics

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A Fourier-type analysis of the Gauss and Gauss-Lobatto P1-discontinuous Galerkin methods for the linear advection-diffusion equation

10.1063/1.5114349 ◽

2019 ◽

Cited By ~ 2

Author(s):

Sigrun Ortleb

Keyword(s):

Diffusion Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Type Analysis ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Fourier Type

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Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.12.004 ◽

2014 ◽

Vol 79 ◽

pp. 79-91 ◽

Cited By ~ 18

Author(s):

Ralf Hiptmair ◽

Andrea Moiola ◽

Ilaria Perugia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Acoustic Scattering ◽

Galerkin Methods ◽

Refined Meshes ◽

Locally Refined Meshes

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Reconstructed Discontinuous Galerkin Methods Based on First-Order Hyperbolic System for Advection-Diffusion Equations

23rd AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2017-3445 ◽

2017 ◽

Cited By ~ 2

Author(s):

Jialin Lou ◽

Lingquan Li ◽

Xiaodong Liu ◽

Hong Luo ◽

Hiroaki Nishikawa

Keyword(s):

Discontinuous Galerkin ◽

Hyperbolic System ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

First Order ◽

Advection Diffusion

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Stability of Nonlinear Convection–Diffusion–Reaction Systems in Discontinuous Galerkin Methods

Journal of Scientific Computing ◽

10.1007/s10915-016-0256-z ◽

2016 ◽

Vol 70 (2) ◽

pp. 516-550 ◽

Cited By ~ 5

Author(s):

C. Michoski ◽

A. Alexanderian ◽

C. Paillet ◽

E. J. Kubatko ◽

C. Dawson

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Reaction ◽

Galerkin Methods ◽

Nonlinear Convection ◽

Reaction Systems ◽

Convection Diffusion

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Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/140956750 ◽

2015 ◽

Vol 53 (1) ◽

pp. 206-227 ◽

Cited By ~ 51

Author(s):

Haijin Wang ◽

Chi-Wang Shu ◽

Qiang Zhang

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Advection Diffusion ◽

Local Discontinuous Galerkin Methods ◽

Time Marching ◽

Diffusion Problems

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