A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5324 ◽

2018 ◽

Vol 42 (1) ◽

pp. 59-84

Author(s):

Shuai Su ◽

Qiannan Dong ◽

Jiming Wu

Keyword(s):

Anisotropic Diffusion ◽

Diffusion Equations ◽

Positivity Preserving ◽

Polyhedral Meshes

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A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106252 ◽

2020 ◽

Vol 104 ◽

pp. 106252

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Polyhedral Meshes ◽

Diffusion Problems

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A metamorphic positivity-preserving conservative formulation applied to the solution of general anisotropic diffusion problems in distorted 2-D grids

10.1063/5.0026583 ◽

2020 ◽

Author(s):

Emerson W. D. Magalhães ◽

Márcio R. A. Souza ◽

Igor F. Gomes

Keyword(s):

Anisotropic Diffusion ◽

Positivity Preserving ◽

Diffusion Problems

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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 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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Multigrid method for anisotropic diffusion equations based on adaptive Chebyshev smoothers

Mathematical Models and Computer Simulations ◽

10.1134/s2070048215020118 ◽

2015 ◽

Vol 7 (2) ◽

pp. 117-127 ◽

Author(s):

V. T. Zhukov ◽

N. D. Novikova ◽

O. B. Feodoritova

Keyword(s):

Anisotropic Diffusion ◽

Multigrid Method ◽

Diffusion Equations

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Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations

Numerische Mathematik ◽

10.1007/s00211-013-0545-5 ◽

2013 ◽

Vol 125 (3) ◽

pp. 387-417 ◽

Author(s):

Clément Cancès ◽

Mathieu Cathala ◽

Christophe Le Potier

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Diffusion Equations

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A positivity-preserving high order discontinuous Galerkin scheme for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.04.002 ◽

2018 ◽

Vol 366 ◽

pp. 120-143 ◽

Author(s):

Sashank Srinivasan ◽

Jonathan Poggie ◽

Xiangxiong Zhang

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Equations ◽

Positivity Preserving ◽

Galerkin Scheme ◽

Convection Diffusion ◽

Discontinuous Galerkin Scheme

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Benchmark 3D: A Monotone Nonlinear Finite Volume Method for Diffusion Equations on Polyhedral Meshes

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_97 ◽

2011 ◽

pp. 993-1003 ◽

Author(s):

Alexander Danilov ◽

Yuri Vassilevski

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Polyhedral Meshes ◽

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Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2021-0011 ◽

2021 ◽

Vol 30 (4) ◽

pp. 1185-1215

Author(s):

global sci

Keyword(s):

Heat Conduction ◽

Finite Volume ◽

Three Dimensional ◽

Finite Volume Schemes ◽

Positivity Preserving ◽

Polyhedral Meshes

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Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations

Partial Differential Equations - Computational Methods in Applied Sciences ◽

10.1007/978-1-4020-8758-5_2 ◽

2008 ◽

pp. 27-41 ◽

Author(s):

Yuri A. Kuznetsov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Polyhedral Meshes

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