A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

Zhiming Gao; Jiming Wu

doi:10.1137/140972470

A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

SIAM Journal on Scientific Computing ◽

10.1137/140972470 ◽

2015 ◽

Vol 37 (1) ◽

pp. A420-A438 ◽

Cited By ~ 22

Author(s):

Zhiming Gao ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Second Order ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

General Meshes

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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 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) ◽

Cited By ~ 1

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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A positivity-preserving finite volume scheme for convection-diffusion equation on general meshes

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1910943 ◽

2021 ◽

pp. 1-22

Author(s):

Gang Peng

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

General Meshes

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A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.01.013 ◽

2020 ◽

Vol 152 ◽

pp. 125-140 ◽

Cited By ~ 1

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Wenjing Yan ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0121 ◽

2020 ◽

Vol 13 (1) ◽

pp. 220-252

Author(s):

global sci

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A second-order positivity-preserving well-balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4703 ◽

2019 ◽

Vol 89 (11) ◽

pp. 465-482 ◽

Cited By ~ 4

Author(s):

Andrea Thomann ◽

Markus Zenk ◽

Christian Klingenberg

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

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 ◽

Cited By ~ 14

Author(s):

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

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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A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-021-01629-2 ◽

2021 ◽

Vol 89 (3) ◽

Author(s):

Hui Xie ◽

Xuejun Xu ◽

Chuanlei Zhai ◽

Heng Yong

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Least Square ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Anisotropic Diffusion Equation

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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 ◽

Cited By ~ 1

Author(s):

Clément Cancès ◽

Claire Chainais-Hillairet ◽

Stella Krell

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Volume Scheme

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