Virtual element method for nonlinear convection–diffusion–reaction equation on polygonal meshes

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1849637 ◽

2020 ◽

pp. 1-25

Author(s):

M. Arrutselvi ◽

E. Natarajan

Keyword(s):

Diffusion Reaction ◽

Virtual Element Method ◽

Reaction Equation ◽

Nonlinear Convection ◽

Polygonal Meshes ◽

Convection Diffusion ◽

Virtual Element ◽

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A local projection stabilization virtual element method for convection-diffusion-reaction equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126536 ◽

2021 ◽

Vol 411 ◽

pp. 126536

Author(s):

Yang Li ◽

Minfu Feng

Keyword(s):

Diffusion Reaction ◽

Virtual Element Method ◽

Reaction Equation ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Virtual Element ◽

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Virtual Element Method for Nonlinear Time-Dependent Convection-Diffusion-Reaction Equation

Computational Mathematics and Modeling ◽

10.1007/s10598-021-09537-8 ◽

2021 ◽

Author(s):

M. Arrutselvi ◽

E. Natarajan

Keyword(s):

Time Dependent ◽

Diffusion Reaction ◽

Virtual Element Method ◽

Reaction Equation ◽

Convection Diffusion ◽

Virtual Element ◽

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The Conforming Virtual Element Method for the convection-diffusion-reaction equation with variable coeffcients.

10.2172/1159207 ◽

2014 ◽

Author(s):

Gianmarco Manzini ◽

Andrea Cangiani ◽

Oliver Sutton

Keyword(s):

Diffusion Reaction ◽

Virtual Element Method ◽

Reaction Equation ◽

Convection Diffusion ◽

Virtual Element ◽

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Virtual element method stabilization for convection-diffusion-reaction problems using the link-cutting condition

CALCOLO ◽

10.1007/s10092-016-0180-5 ◽

2016 ◽

Vol 54 (1) ◽

pp. 141-154 ◽

Author(s):

D. Irisarri

Keyword(s):

Diffusion Reaction ◽

Cutting Condition ◽

Virtual Element Method ◽

Convection Diffusion ◽

Virtual Element ◽

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Least‐Squares Virtual Element Method For The Convection‐Diffusion‐Reaction Problem

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6636 ◽

2021 ◽

Author(s):

Gang Wang ◽

Ying Wang ◽

Yinnian He

Keyword(s):

Least Squares ◽

Diffusion Reaction ◽

Virtual Element Method ◽

Convection Diffusion ◽

Virtual Element ◽

Reaction Problem ◽

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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 ◽

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Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.12.018 ◽

2020 ◽

Vol 79 (10) ◽

pp. 2856-2871

Author(s):

D. Adak ◽

S. Natarajan

Keyword(s):

Elliptic Problem ◽

Virtual Element Method ◽

Polygonal Meshes ◽

Kirchhoff Type ◽

Nonlocal Elliptic Problem ◽

Virtual Element ◽

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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 ◽

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 ◽

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The boundary control problem for a nonlinear convection – diffusion – reaction equation

Журнал вычислительной математики и математической физики ◽

10.31857/s004446690003558-4 ◽

2018 ◽

Vol 58 (12) ◽

pp. 2139-2152

Author(s):

R. Brizitsky ◽

Keyword(s):

Control Problem ◽

Boundary Control ◽

Diffusion Reaction ◽

Reaction Equation ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Boundary Control Problem

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A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes

Advances in Computational Mathematics ◽

10.1007/s10444-021-09909-z ◽

2021 ◽

Vol 47 (6) ◽

Author(s):

Gang Wang ◽

Feng Wang ◽

Yinnian He

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Virtual Element Method ◽

Navier Stokes Equation ◽

Polygonal Meshes ◽

Divergence Free ◽

Virtual Element ◽

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