An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

Fuzheng Gao; Yirang Yuan; Ning Du

doi:10.4236/ajcm.2011.14032

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Mortar upwind finite volume element method for convection diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.06.031 ◽

2006 ◽

Vol 183 (2) ◽

pp. 831-841 ◽

Cited By ~ 1

Author(s):

Chunjia Bi

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

Download Full-text

The MMOC and MMOCAA schemes for the finite volume element method of convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.09.006 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1423-1434 ◽

Cited By ~ 2

Author(s):

Chuanjun Chen ◽

Wei Liu

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

Download Full-text

A new weighted upwind finite volume element method based on non-standard covolume for time-dependent convection-diffusion problems

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3830 ◽

2013 ◽

Vol 73 (11) ◽

pp. 953-975 ◽

Cited By ~ 2

Author(s):

Fuzheng Gao ◽

Dong Liang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Time Dependent ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

Download Full-text