A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.01.024 ◽

2007 ◽

Vol 344 (6) ◽

pp. 403-406 ◽

Author(s):

Robert Eymard ◽

Thierry Gallouët ◽

Raphaèle Herbin

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Diffusion Problems

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A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.052 ◽

2018 ◽

Vol 372 ◽

pp. 773-798 ◽

Author(s):

Shuai Su ◽

Qiannan Dong ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Volume Scheme ◽

Diffusion Problems

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The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes

Computer Physics Communications ◽

10.1016/j.cpc.2021.108099 ◽

2021 ◽

pp. 108099

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Wenjing Yan ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Diffusion Problems

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A finite volume scheme for anisotropic diffusion problems

Comptes Rendus Mathematique ◽

10.1016/j.crma.2004.05.023 ◽

2004 ◽

Vol 339 (4) ◽

pp. 299-302 ◽

Author(s):

Robert Eymard ◽

Thierry Gallouët ◽

Raphaèle Herbin

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Diffusion Problems

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Finite Volume Scheme Based on Cell-Vertex Reconstructions for Anisotropic Diffusion Problems with Discontinuous Coefficients

Computational Science and Its Applications – ICCSA 2014 - Lecture Notes in Computer Science ◽

10.1007/978-3-319-09144-0_7 ◽

2014 ◽

pp. 87-102 ◽

Author(s):

Ricardo Costa ◽

Stéphane Clain ◽

Gaspar José Machado

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Discontinuous Coefficients ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Diffusion Problems

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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 mixed finite volume scheme for anisotropic diffusion problems on any grid

Numerische Mathematik ◽

10.1007/s00211-006-0034-1 ◽

2006 ◽

Vol 105 (1) ◽

pp. 35-71 ◽

Author(s):

Jérôme Droniou ◽

Robert Eymard

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Diffusion Problems

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Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing

SIAM Journal on Numerical Analysis ◽

10.1137/070685038 ◽

2008 ◽

Vol 46 (1) ◽

pp. 37-60 ◽

Author(s):

Olga Drblíková ◽

Karol Mikula

Keyword(s):

Image Processing ◽

Convergence Analysis ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

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Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.098 ◽

2013 ◽

Vol 219 (10) ◽

pp. 5140-5151 ◽

Author(s):

Rajesh Kumar ◽

Jitendra Kumar

Keyword(s):

Numerical Simulation ◽

Convergence Analysis ◽

Finite Volume ◽

Population Balance ◽

Finite Volume Scheme ◽

Balance Equations ◽

Population Balance Equations ◽

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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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Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/060657236 ◽

2007 ◽

Vol 45 (5) ◽

pp. 2228-2258 ◽

Author(s):

Claire Chainais-Hillairet ◽

Jérôme Droniou

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Finite Volume ◽

Parabolic System ◽

System Modeling ◽

Fluid Flows ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Flows In Porous Media ◽

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