A new positive finite volume scheme for two-dimensional convection-diffusion equation

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

10.1002/zamm.201800067 ◽

2018 ◽

Vol 99 (2) ◽

pp. e201800067 ◽

Author(s):

Bin Lan ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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A Fourth-Order Compact Finite Volume Scheme for the Convection-Diffusion Equation

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 ◽

10.1007/978-3-319-01601-6_10 ◽

2013 ◽

pp. 135-144 ◽

Author(s):

Christine Baur ◽

Michael Schäfer

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Fourth Order ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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Very high‐order accurate finite volume scheme for the convection‐diffusion equation with general boundary conditions on arbitrary curved boundaries

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5953 ◽

2018 ◽

Vol 117 (2) ◽

pp. 188-220 ◽

Author(s):

Ricardo Costa ◽

João M. Nóbrega ◽

Stéphane Clain ◽

Gaspar J. Machado ◽

Raphaël Loubère

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Finite Volume ◽

Finite Volume Scheme ◽

General Boundary Conditions ◽

Curved Boundaries ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

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Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.10.016 ◽

2018 ◽

Vol 54 ◽

pp. 752-767 ◽

Author(s):

Ricardo Costa ◽

Stéphane Clain ◽

Raphaël Loubère ◽

Gaspar J. Machado

Keyword(s):

Steady State ◽

Diffusion Equation ◽

Finite Volume ◽

Dirichlet Condition ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Curved Boundaries ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000120 ◽

2000 ◽

Vol 34 (6) ◽

pp. 1123-1149 ◽

Author(s):

Yves Coudière ◽

Philippe Villedieu

Keyword(s):

Diffusion Equation ◽

Convergence Rate ◽

Finite Volume ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

Refined Meshes ◽

Locally Refined Meshes

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A positivity-preserving finite volume scheme for convection-diffusion equation on general meshes

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1910943 ◽

2021 ◽

pp. 1-22

Author(s):

Gang Peng

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

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Convergence of a finite volume scheme for the convection-diffusion equation with $\mathrm{L}^{1}$ data

Mathematics of Computation ◽

10.1090/s0025-5718-2011-02571-8 ◽

2012 ◽

Vol 81 (279) ◽

pp. 1429-1454 ◽

Author(s):

T. Gallouët ◽

A. Larcher ◽

J. C. Latché

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125301 ◽

2020 ◽

Vol 380 ◽

pp. 125301

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Xinlong Feng

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

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$$L^\infty $$ -Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects ◽

10.1007/978-3-319-57397-7_17 ◽

2017 ◽

pp. 245-253 ◽

Author(s):

Caterina Calgaro ◽

Meriem Ezzoug

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:1999149 ◽

1999 ◽

Vol 33 (3) ◽

pp. 493-516 ◽

Author(s):

Yves Coudière ◽

Jean-Paul Vila ◽

Philippe Villedieu

Keyword(s):

Convergence Rate ◽

Finite Volume ◽

Diffusion Problem ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Convection Diffusion ◽

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An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation

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

10.1002/zamm.201900245 ◽

2021 ◽

Author(s):

Kanokwarun Para ◽

Bubpha Jitsom ◽

Robert Eymard ◽

Surattana Sungnul ◽

Sekson Sirisubtawee ◽

...

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Piecewise Linear ◽

Two Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Accuracy Comparison ◽

Linear Reconstruction ◽

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