A monotone finite volume scheme for advection-diffusion equations on distorted meshes

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2640 ◽

2011 ◽

Vol 69 (7) ◽

pp. 1283-1298 ◽

Author(s):

Shuai Wang ◽

Guangwei Yuan ◽

Yonghai Li ◽

Zhiqiang Sheng

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Advection Diffusion ◽

Monotone Finite Volume Scheme

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A monotone finite volume scheme for diffusion equations on general non-conforming meshes

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.05.041 ◽

2017 ◽

Vol 311 ◽

pp. 300-313

Author(s):

Qi Zhang ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Conforming Meshes ◽

Monotone Finite Volume Scheme

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A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0127 ◽

2018 ◽

Vol 24 (5) ◽

Author(s):

Bin Lan ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Second Order ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Order Accuracy ◽

Convection Diffusion ◽

Volume Scheme ◽

Monotone Finite Volume Scheme

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An upwind finite volume scheme and its maximum-principle-preserving ADI splitting for unsteady-state advection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10044 ◽

2003 ◽

Vol 19 (2) ◽

pp. 211-226 ◽

Author(s):

Hong Wang ◽

Weidong Zhao

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Unsteady State ◽

Volume Scheme ◽

Advection Diffusion

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A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2019-0066 ◽

2020 ◽

Vol 27 (4) ◽

pp. 1201-1233

Author(s):

Fei Zhao

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Monotone Finite Volume Scheme

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A new nonlinear finite volume scheme preserving positivity for diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.053 ◽

2016 ◽

Vol 315 ◽

pp. 182-193 ◽

Author(s):

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

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A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113785 ◽

2022 ◽

Vol 402 ◽

pp. 113785

Author(s):

Jiangfu Wang ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Discrete Maximum Principle ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Discontinuous Diffusion

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An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0088 ◽

2021 ◽

Vol 30 (2) ◽

pp. 448-485

Author(s):

Shuai Su

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects ◽

10.1007/978-3-319-57397-7_37 ◽

2017 ◽

pp. 439-447 ◽

Author(s):

Clément Cancès ◽

Claire Chainais-Hillairet ◽

Stella Krell

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

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Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing

Numerische Mathematik ◽

10.1007/pl00005479 ◽

2001 ◽

Vol 89 (3) ◽

pp. 561-590 ◽

Author(s):

Karol Mikula ◽

Narisoa Ramarosy

Keyword(s):

Image Processing ◽

Finite Volume ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Nonlinear Diffusion Equations ◽

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Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2003028 ◽

2003 ◽

Vol 37 (2) ◽

pp. 319-338 ◽

Author(s):

Claire Chainais-Hillairet ◽

Jian-Guo Liu ◽

Yue-Jun Peng

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Drift Diffusion ◽

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