A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations
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Publication:5163203
DOI10.4208/cicp.OA-2020-0047zbMath1473.65265OpenAlexW3121028277MaRDI QIDQ5163203
Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guang-Wei Yuan
Publication date: 3 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2020-0047
Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (9)
A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions ⋮ Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections ⋮ A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows ⋮ A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes ⋮ A monotone finite volume scheme for single phase flow with reactive transport in anisotropic porous media ⋮ A strong positivity‐preserving finite volume scheme for convection–diffusion equations on tetrahedral meshes ⋮ An unconditionally stable positivity-preserving scheme for the one-dimensional Fisher-Kolmogorov-Petrovsky-Piskunov equation ⋮ Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes ⋮ The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle
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