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

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2013071 ◽

2013 ◽

Vol 47 (5) ◽

pp. 1335-1366 ◽

Cited By ~ 12

Author(s):

Gabriel R. Barrenechea ◽

Volker John ◽

Petr Knobloch

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations ◽

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 ◽

Diffusion Reaction ◽

Convection Diffusion ◽

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 ◽

Time Dependent ◽

Diffusion Reaction ◽

Convection Diffusion ◽

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 ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

Local Projection Stabilization for Convection-Diffusion-Reaction Equations on Surfaces

10.1007/978-3-319-67202-1_13 ◽

2017 ◽

pp. 169-181

Author(s):

Kristin Simon ◽

Lutz Tobiska

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Coupling Runge-Kutta discontinuous Galerkin method to finite element method for compressible multi-phase flow interacting with a deformable sandwich structure

Ocean Engineering ◽

10.1016/j.oceaneng.2016.12.013 ◽

2017 ◽

Vol 130 ◽

pp. 597-610 ◽

Cited By ~ 12

Author(s):

Zeyu Jin ◽

Caiyu Yin ◽

Yong Chen ◽

Hongxing Hua

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Sandwich Structure ◽

Phase Flow ◽

Multi Phase Flow ◽

Multi Phase ◽

A positivity preserving characteristic finite element method for solving the transport and convection–diffusion–reaction equations on general surfaces

Computer Physics Communications ◽

10.1016/j.cpc.2019.106941 ◽

2020 ◽

Vol 247 ◽

pp. 106941 ◽

Cited By ~ 1

Author(s):

Xufeng Xiao ◽

Zihuan Dai ◽

Xinlong Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Positivity Preserving ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

Reaction Equations ◽

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 ◽

Hybridizable Discontinuous Galerkin Method

Diffusion Reaction ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation

AIP Advances ◽

10.1063/5.0050792 ◽

2021 ◽

Vol 11 (8) ◽

pp. 085225

Author(s):

Sadia Akter Lima ◽

Md. Kamrujjaman ◽

Md. Shafiqul Islam

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Solution ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Error Correlation ◽

Reaction Equations ◽

Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs

Mathematics of Computation ◽

10.1090/mcom/3073 ◽

2016 ◽

Vol 85 (301) ◽

pp. 2099-2129 ◽

Cited By ~ 8

Author(s):

Alexandre Ern ◽

Friedhelm Schieweck

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Stabilized Finite Element ◽

First Order ◽

Stabilized Finite Element Method ◽