A stabilised finite element method for the convection–diffusion–reaction equation in mixed form

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.04.019 ◽

2018 ◽

Vol 339 ◽

pp. 389-415 ◽

Author(s):

Gabriel R. Barrenechea ◽

Abner H. Poza ◽

Heather Yorston

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

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Combined finite volume and finite element method for convection-diffusion-reaction equation

Journal of Mechanical Science and Technology ◽

10.1007/s12206-008-1204-0 ◽

2009 ◽

Vol 23 (3) ◽

pp. 790-801 ◽

Author(s):

Sutthisak Phongthanapanich ◽

Pramote Dechaumphai

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

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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 ◽

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 ◽

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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 ◽

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An Asymptotically Fitted Finite Element Method for Convection Dominated Convection-Diffusion-Reaction Problems

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19920720304 ◽

1992 ◽

Vol 72 (3) ◽

pp. 189-200 ◽

Author(s):

G. Lube

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Convection Dominated ◽

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Convergence of an adaptive mixed finite element method for convection-diffusion-reaction equations

Science China Mathematics ◽

10.1007/s11425-015-4992-6 ◽

2015 ◽

Vol 58 (6) ◽

pp. 1327-1348 ◽

Author(s):

ShaoHong Du ◽

XiaoPing Xie

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations ◽

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A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2017.56109 ◽

2017 ◽

Vol 05 (06) ◽

pp. 1301-1319

Author(s):

Tongjun Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations ◽

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A Characteristic Finite Element Method for Constrained Convection-Diffusion-Reaction Optimal Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1210-m3966 ◽

2013 ◽

Vol 31 (1) ◽

pp. 88-106

Author(s):

Hongfei Fu

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Diffusion Reaction ◽

Control Problems ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

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A layers capturing type H-adaptive finite element method for convection–diffusion–reaction equations on surfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112792 ◽

2020 ◽

Vol 361 ◽

pp. 112792 ◽

Author(s):

Xufeng Xiao ◽

Jianping Zhao ◽

Xinlong Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Convection Diffusion ◽

Reaction Equations ◽

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Analysis of an Interface Stabilized Finite Element Method: The Advection-Diffusion-Reaction Equation

SIAM Journal on Numerical Analysis ◽

10.1137/090775464 ◽

2011 ◽

Vol 49 (1) ◽

pp. 87-109 ◽

Author(s):

Garth N. Wells

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Advection Diffusion ◽

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On subgrid multiscale stabilized finite element method for advection-diffusion-reaction equation with variable coefficients

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.10.021 ◽

2020 ◽

Vol 150 ◽

pp. 576-586 ◽

Author(s):

Manisha Chowdhury ◽

B.V. Rathish Kumar

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Variable Coefficients ◽

Diffusion Reaction ◽

Reaction Equation ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Advection Diffusion ◽

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