A positivity-preserving finite volume scheme for convection–diffusion equation on general meshes

DOI10.1080/00207160.2021.1910943zbMath1499.65621OpenAlexW3141420937MaRDI QIDQ5063455

Gang Peng

Publication date: 21 March 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1910943

zbMATH Keywords

convection-diffusion equationfinite volume schemepositivity-preservinggeneral meshes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
• An improved monotone finite volume scheme for diffusion equation on polygonal meshes
• Downwind numbering: Robust multigrid for convection-diffusion problems
• Monotone finite volume schemes for diffusion equations on polygonal meshes
• A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes
• Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
• A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
• Preserving monotonicity in anisotropic diffusion
• Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
• A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
• The Discrete Duality Finite Volume Method for Convection-diffusion Problems
• Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
• A monotone finite volume scheme for advection–diffusion equations on distorted meshes
• A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
• A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION–DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES
• An upwind finite‐volume element scheme and its maximum‐principle‐preserving property for nonlinear convection–diffusion problem
• A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

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