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

Sutthisak Phongthanapanich; Pramote Dechaumphai

doi:10.1007/s12206-008-1204-0

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 ◽

Cited By ~ 4

Author(s):

Sutthisak Phongthanapanich ◽

Pramote Dechaumphai

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

Element Method

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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 ◽

Cited By ~ 5

Author(s):

Gabriel R. Barrenechea ◽

Abner H. Poza ◽

Heather Yorston

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Mixed Form ◽

Convection Diffusion ◽

Element Method

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On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Explicit schemes

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199903)15:2<215::aid-num6>3.0.co;2-1 ◽

1999 ◽

Vol 15 (2) ◽

pp. 215-235 ◽

Cited By ~ 18

Author(s):

Miloslav Feistauer ◽

Jan Slav�k ◽

Petr Stupka

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Explicit Schemes ◽

Diffusion Problems ◽

Element Method

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An explicit characteristic finite volume element method for non-divergence free convection–diffusion-reaction equation

International Journal of Advances in Engineering Sciences and Applied Mathematics ◽

10.1007/s12572-012-0071-1 ◽

2012 ◽

Vol 4 (3) ◽

pp. 179-192

Author(s):

S. Phongthanapanich ◽

P. Dechaumphai

Keyword(s):

Free Convection ◽

Finite Volume ◽

Volume Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Divergence Free ◽

Element Method

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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 ◽

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 ◽

Element Method

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Solving convection-diffusion-reaction equation by adaptive finite volume element method

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2011.06.002 ◽

2011 ◽

Vol 82 (2) ◽

pp. 220-233 ◽

Cited By ~ 9

Author(s):

P. Theeraek ◽

S. Phongthanapanich ◽

P. Dechaumphai

Keyword(s):

Finite Volume ◽

Volume Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

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Analysis of a combined barycentric finite volume—nonconforming finite element method for nonlinear convection-diffusion problems

Applications of Mathematics ◽

10.1023/a:1023217905340 ◽

1998 ◽

Vol 43 (4) ◽

pp. 263-310 ◽

Cited By ~ 27

Author(s):

Philippe Angot ◽

Vít Dolejší ◽

Miloslav Feistauer ◽

Jiří Felcman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Nonconforming Finite Element ◽

Nonlinear Convection ◽

Nonconforming Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

Element Method

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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 ◽

Element Method

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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 ◽

Cited By ~ 9

Author(s):

G. Lube

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Convection Dominated ◽

Element Method

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On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199703)13:2<163::aid-num3>3.0.co;2-n ◽

1997 ◽

Vol 13 (2) ◽

pp. 163-190 ◽

Cited By ~ 52

Author(s):

Miloslav Feistauer ◽

Jiří Felcman ◽

Mária Lukáčová-Medvid'ová

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems ◽

Element Method

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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 ◽

Cited By ~ 2

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 ◽

Element Method

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