A positivity-preserving edge-centred finite volume scheme for heterogeneous and anisotropic diffusion problems on polygonal meshes
DOI10.1007/s40314-024-02716-4MaRDI QIDQ6547334
Publication date: 30 May 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Waves and radiation in optics and electromagnetic theory (78A40) Positive solutions to PDEs (35B09) 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)
Cites Work
- Unnamed Item
- Mimetic finite difference method
- A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil-water displacements in heterogeneous and anisotropic petroleum reservoirs
- Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
- A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
- A second-order face-centred finite volume method for elliptic problems
- A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
- A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
- 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 non-oscillatory face-centred finite volume method for compressible flows
- A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
- Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general 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
- A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes
- A second-order face-centred finite volume method on general meshes with automatic mesh adaptation
- A face-centred finite volume method for second-order elliptic problems
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