An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing

Zuzana Krivá; Karol Mikula

doi:10.1006/jvci.2001.0502

An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing

Journal of Visual Communication and Image Representation ◽

10.1006/jvci.2001.0502 ◽

2002 ◽

Vol 13 (1-2) ◽

pp. 22-35 ◽

Cited By ~ 24

Author(s):

Zuzana Krivá ◽

Karol Mikula

Keyword(s):

Image Processing ◽

Finite Volume ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Nonlinear Diffusion Equations ◽

Volume Scheme

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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 ◽

Cited By ~ 35

Author(s):

Karol Mikula ◽

Narisoa Ramarosy

Keyword(s):

Image Processing ◽

Finite Volume ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Nonlinear Diffusion Equations ◽

Volume Scheme

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A finite volume scheme for convection–diffusion equations with nonlinear diffusion derived from the Scharfetter–Gummel scheme

Numerische Mathematik ◽

10.1007/s00211-012-0448-x ◽

2012 ◽

Vol 121 (4) ◽

pp. 637-670 ◽

Cited By ~ 43

Author(s):

Marianne Bessemoulin-Chatard

Keyword(s):

Finite Volume ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

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 finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2005.07.007 ◽

2006 ◽

Vol 30 (10) ◽

pp. 1118-1133 ◽

Cited By ~ 20

Author(s):

T.J. Moroney ◽

I.W. Turner

Keyword(s):

Finite Volume Method ◽

Radial Basis Functions ◽

Finite Volume ◽

Nonlinear Diffusion ◽

Basis Functions ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Diffusion Equations ◽

Radial Basis ◽

Volume Method

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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 ◽

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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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 ◽

Cited By ~ 42

Author(s):

Claire Chainais-Hillairet ◽

Jian-Guo Liu ◽

Yue-Jun Peng

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Drift Diffusion ◽

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 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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