A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes
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Publication:2926172
DOI10.1007/978-3-319-05684-5_18zbMath1298.65158OpenAlexW62843414MaRDI QIDQ2926172
Alexey Y. Chernyshenko, Yuri V. Vassilevski
Publication date: 31 October 2014
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-05684-5_18
Related Items (12)
Nonlinear finite volume method with discrete maximum principle for the two-phase flow model ⋮ A hybrid finite volume -- finite element method for bulk-surface coupled problems ⋮ An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations ⋮ Monotone Embedded Discrete Fracture Method for the Two-Phase Flow Model ⋮ A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes ⋮ A Decoupled and Positivity-Preserving DDFVS cheme for Diffusion Problems on Polyhedral Meshes ⋮ Projection-based monotone embedded discrete fracture method for flow and transport in porous media ⋮ A finite volume scheme with improved well modeling in subsurface flow simulation ⋮ Monotone embedded discrete fractures method for flows in porous media ⋮ A Nonlinear Correction FV Scheme for Near-Well Regions ⋮ A Hybrid Finite Volume—Finite Element Method for Modeling Flows in Fractured Media
Cites Work
- A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
- The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
- A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- 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 monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
- Minimal stencil finite volume scheme with the discrete maximum principle
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
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