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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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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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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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 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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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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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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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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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 finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109143 ◽

2020 ◽

Vol 407 ◽

pp. 109143

Author(s):

Yanni Gao ◽

Guangwei Yuan ◽

Shuai Wang ◽

Xudeng Hang

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Element Scheme ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Diffusion Problems

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