Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations

Guangwei Yuan; Yunlong Yu

doi:10.1002/num.22184

Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22184 ◽

2017 ◽

Vol 34 (1) ◽

pp. 80-96 ◽

Cited By ~ 8

Author(s):

Guangwei Yuan ◽

Yunlong Yu

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Existence Of Solution ◽

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 Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature

SIAM Journal on Scientific Computing ◽

10.1137/18m1167024 ◽

2019 ◽

Vol 41 (1) ◽

pp. B93-B113 ◽

Cited By ~ 2

Author(s):

Yunlong Yu ◽

Xingding Chen ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Radiation Diffusion ◽

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 ◽

Cited By ~ 5

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 Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes

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

10.1007/978-3-319-05684-5_18 ◽

2014 ◽

pp. 197-205 ◽

Cited By ~ 6

Author(s):

Alexey Chernyshenko ◽

Yuri Vassilevski

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Discrete Maximum Principle ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Polyhedral Meshes

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A conservative finite volume scheme preserving maximum principle for diffusion equations

10.1063/1.4992171 ◽

2017 ◽

Author(s):

Yunlong Yu ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Volume Scheme

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The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.10.012 ◽

2020 ◽

Vol 79 (8) ◽

pp. 2168-2188

Author(s):

Yao Yu ◽

Guangwei Yuan ◽

Zhiqiang Sheng ◽

Yonghai Li

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Discontinuous Coefficient ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Volume Scheme

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A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0047 ◽

2021 ◽

Vol 29 (3) ◽

pp. 747-766

Author(s):

Jinjing Xu

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Volume Scheme

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A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.125989 ◽

2021 ◽

Vol 398 ◽

pp. 125989

Author(s):

Jiangfu Wang ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

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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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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