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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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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Coercivity results of a modified Q 1-finite volume element scheme for anisotropic diffusion problems

Advances in Computational Mathematics ◽

10.1007/s10444-017-9567-3 ◽

2017 ◽

Vol 44 (3) ◽

pp. 897-922 ◽

Author(s):

Qi Hong ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Element Scheme ◽

Finite Volume Element ◽

Diffusion Problems

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A Q1-finite volume element scheme for anisotropic diffusion problems on general convex quadrilateral mesh

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112732 ◽

2020 ◽

Vol 372 ◽

pp. 112732

Author(s):

Qi Hong ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Quadrilateral Mesh ◽

Element Scheme ◽

Convex Quadrilateral ◽

Finite Volume Element ◽

General Convex ◽

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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A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0261 ◽

2019 ◽

Vol 26 (1) ◽

pp. 135-159

Author(s):

Yanni Gao

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Triangular Meshes ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

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A family of quadratic finite volume element schemes for anisotropic diffusion problems on triangular meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113794 ◽

2021 ◽

pp. 113794

Author(s):

Yanhui Zhou ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Triangular Meshes ◽

Finite Volume Element ◽

Diffusion Problems

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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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A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.05.018 ◽

2020 ◽

Vol 87 ◽

pp. 20-41

Author(s):

Jinliang Yan ◽

Dingwen Deng ◽

Fuqiang Lu ◽

Zhiyue Zhang

Keyword(s):

Finite Volume ◽

Boussinesq Equation ◽

Volume Element ◽

Element Scheme ◽

Efficient Energy ◽

Finite Volume Element

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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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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 ◽

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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