An upwind finite-volume element scheme and its maximum-principle-preserving property for nonlinear convection–diffusion problem

Fuzheng Gao; Yirang Yuan; Danping Yang

doi:10.1002/fld.1623

An upwind finite-volume element scheme and its maximum-principle-preserving property for nonlinear convection–diffusion problem

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1623 ◽

2008 ◽

Vol 56 (12) ◽

pp. 2301-2320 ◽

Cited By ~ 9

Author(s):

Fuzheng Gao ◽

Yirang Yuan ◽

Danping Yang

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Nonlinear Convection ◽

Element Scheme ◽

Convection Diffusion ◽

Finite Volume Element

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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

American Journal of Computational Mathematics ◽

10.4236/ajcm.2011.14032 ◽

2011 ◽

Vol 01 (04) ◽

pp. 264-270 ◽

Cited By ~ 3

Author(s):

Fuzheng Gao ◽

Yirang Yuan ◽

Ning Du

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

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A symmetric characteristic finite volume element scheme for nonlinear convection-diffusion problems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-005-5183-y ◽

2008 ◽

Vol 24 (1) ◽

pp. 41-54

Author(s):

Min Yang ◽

Yi-rang Yuan

Keyword(s):

Finite Volume ◽

Volume Element ◽

Nonlinear Convection ◽

Element Scheme ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems

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The semidiscrete finite volume element method for nonlinear convection–diffusion problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.01.094 ◽

2011 ◽

Vol 217 (19) ◽

pp. 7546-7556 ◽

Cited By ~ 5

Author(s):

Tong Zhang

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

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The upwind finite volume element method based on straight triangular prism partition for nonlinear convection-diffusion problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.02.022 ◽

2006 ◽

Vol 181 (2) ◽

pp. 1229-1242 ◽

Cited By ~ 5

Author(s):

Fuzheng Gao ◽

Yirang Yuan

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Triangular Prism ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

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A Maximum-Principle Satisfying Discontinuous Finite Volume Element Scheme for One-Dimensional Hyperbolic Conservation Laws

Advances in Applied Mathematics ◽

10.12677/aam.2020.911223 ◽

2020 ◽

Vol 09 (11) ◽

pp. 1934-1944

Author(s):

浩陈

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Volume Element ◽

Element Scheme ◽

One Dimensional ◽

Hyperbolic Conservation ◽

Finite Volume Element

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The characteristic finite volume element method for the nonlinear convection-dominated diffusion problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.11.033 ◽

2008 ◽

Vol 56 (1) ◽

pp. 71-81 ◽

Cited By ~ 13

Author(s):

Fuzheng Gao ◽

Yirang Yuan

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Finite Volume Element ◽

Convection Dominated ◽

Element Method

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An upwind finite volume element method based on quadrilateral meshes for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20387 ◽

2009 ◽

Vol 25 (5) ◽

pp. 1067-1085 ◽

Cited By ~ 6

Author(s):

Fu-Zheng Gao ◽

Yi-Rang Yuan

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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New finite volume element methods in the ALE framework for time-dependent convection–diffusion problems in moving domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113537 ◽

2021 ◽

pp. 113537

Author(s):

Yulong Gao ◽

Yonghai Li ◽

Guangwei Yuan ◽

Zhiqiang Sheng

Keyword(s):

Finite Volume ◽

Volume Element ◽

Time Dependent ◽

Convection Diffusion ◽

Moving Domains ◽

Finite Volume Element ◽

Diffusion Problems

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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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Analysis of a Special $Q_1$-Finite Volume Element Scheme for Anisotropic Diffusion Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0080 ◽

2019 ◽

Vol 12 (4) ◽

pp. 1141-1167

Author(s):

global sci

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Element Scheme ◽

Finite Volume Element ◽

Diffusion Problems

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