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

Bernardo Cockburn; Bo Dong; Johnny Guzmán; Marco Restelli; Riccardo Sacco

doi:10.1137/080728810

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 ◽

Cited By ~ 103

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

Download Full-text

An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2009.01.030 ◽

2009 ◽

Vol 228 (9) ◽

pp. 3232-3254 ◽

Cited By ~ 184

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Diffusion Equations ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

Mathematics of Computation ◽

10.1090/mcom/3195 ◽

2016 ◽

Vol 86 (306) ◽

pp. 1643-1670 ◽

Cited By ~ 34

Author(s):

Aycil Cesmelioglu ◽

Bernardo Cockburn ◽

Weifeng Qiu

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.08.050 ◽

2019 ◽

Vol 376 ◽

pp. 973-991 ◽

Cited By ~ 9

Author(s):

Wei Su ◽

Peng Wang ◽

Yonghao Zhang ◽

Lei Wu

Keyword(s):

Steady State ◽

Kinetic Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Hybridizable Discontinuous Galerkin ◽

Convergence To Steady State ◽

Hybridizable Discontinuous Galerkin Method ◽

Steady State Solutions

Download Full-text

An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2009.08.030 ◽

2009 ◽

Vol 228 (23) ◽

pp. 8841-8855 ◽

Cited By ~ 134

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Diffusion Equations ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

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

Download Full-text

A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5919 ◽

2018 ◽

Vol 116 (3) ◽

pp. 161-177 ◽

Cited By ~ 10

Author(s):

Maurice S. Fabien ◽

Matthew G. Knepley ◽

Béatrice M. Rivière

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Heterogeneous Porous Media ◽

Phase Flow ◽

Two Phase ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

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

Download Full-text

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

Download Full-text

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

Computer Physics Communications ◽

10.1016/j.cpc.2017.05.012 ◽

2017 ◽

Vol 219 ◽

pp. 99-107 ◽

Cited By ~ 20

Author(s):

Liang Li ◽

Stéphane Lanteri ◽

N. Asger Mortensen ◽

Martijn Wubs

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Optical Response ◽

Response Models ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates

Journal of Scientific Computing ◽

10.1007/s10915-018-0780-0 ◽

2018 ◽

Vol 78 (1) ◽

pp. 290-320 ◽

Cited By ~ 2

Author(s):

Jianguo Huang ◽

Xuehai Huang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Kirchhoff Plates ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text