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 ◽

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 ◽

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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 ◽

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 ◽

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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 ◽

Author(s):

Chunjia Bi

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

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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 ◽

Author(s):

Chuanjun Chen ◽

Wei Liu

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

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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 ◽

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 ◽

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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 ◽

Author(s):

Tong Zhang

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

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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 ◽

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 ◽

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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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Conditioning of the finite volume element method for diffusion problems with general simplicial meshes

Mathematics of Computation ◽

10.1090/mcom/3423 ◽

2019 ◽

Vol 88 (320) ◽

pp. 2665-2696 ◽

Author(s):

Xiang Wang ◽

Weizhang Huang ◽

Yonghai Li

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

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A second-order finite volume element method on quadrilateral meshes for elliptic equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007002 ◽

2006 ◽

Vol 40 (6) ◽

pp. 1053-1067 ◽

Author(s):

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Equations ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Quadrilateral Meshes ◽

Finite Volume 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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