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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Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.01.016 ◽

2021 ◽

Vol 163 ◽

pp. 303-316

Author(s):

Zeinab Gharibi ◽

Mehdi Dehghan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Singularly Perturbed ◽

Diffusion Reaction ◽

Weak Galerkin ◽

Convection Diffusion ◽

Reaction Problem

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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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Adaptive Solution of a Singularly-Perturbed Convection-Diffusion Problem Using a Stabilized Mixed Finite Element Method

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_69 ◽

2019 ◽

pp. 743-751

Author(s):

María González ◽

Magdalena Strugaru

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Adaptive Solution ◽

Stabilized Mixed Finite Element ◽

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Low Order Nonconforming Expanded Characteristic- Mixed Finite Element Method for the Convection- Diffusion Problem

Applied Mathematics & Information Sciences ◽

10.12785/amis/071l11 ◽

2013 ◽

Vol 7 (1L) ◽

pp. 67-74 ◽

Author(s):

Dongyang Shi ◽

Jinhuan Chen ◽

Xiaoling Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Problem ◽

Convection Diffusion ◽

Element Method ◽

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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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A characteristic-mixed finite element method for time-dependent convection–diffusion optimal control problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.08.087 ◽

2011 ◽

Vol 218 (7) ◽

pp. 3430-3440 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Time Dependent ◽

Convection Diffusion ◽

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Mixed finite element method for generalized convection-diffusion equations based on an implicit characteristic-based algorithm

Acta Mechanica ◽

10.1007/s00707-006-0437-1 ◽

2007 ◽

Vol 191 (3-4) ◽

pp. 181-193

Author(s):

W. Wu ◽

X. Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

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A gradient recovery–based adaptive finite element method for convection‐diffusion‐reaction equations on surfaces

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6163 ◽

2019 ◽

Vol 120 (7) ◽

pp. 901-917 ◽

Author(s):

Xufeng Xiao ◽

Xinlong Feng ◽

Zhilin Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Gradient Recovery ◽

Convection Diffusion ◽

Reaction Equations ◽

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