Node-diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids

DOI10.1016/j.matcom.2022.08.011OpenAlexW3210384272WikidataQ114149803 ScholiaQ114149803MaRDI QIDQ2095666

Abdelaziz Beljadid, El Houssaine Quenjel

Publication date: 17 November 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.08.011

zbMATH Keywords

coercivitysecond order accuracy9 points stencilanisotropic tensorsgeneral polygonal meshesnode-diamond scheme

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (1)

A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vertex approximate gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media
• A mixed finite volume scheme for anisotropic diffusion problems on any grid
• A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
• A finite volume method for the approximation of diffusion operators on distorted meshes
• The gradient discretisation method
• Positive control volume finite element scheme for a degenerate compressible two-phase flow in anisotropic porous media
• An introduction to multipoint flux approximations for quadrilateral grids
• Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
• Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes
• Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis
• Nonlinear finite volume discretization for transient diffusion problems on general meshes
• Convergence of a symmetric MPFA method on quadrilateral grids
• On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
• The mimetic finite difference method for elliptic problems
• A structure-preserving algorithm for surface water flows with transport processes
• Small-stencil 3D schemes for diffusive flows in porous media
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems
• Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
• Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
• Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
• Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
• A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
• A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids

This page was built for publication: Node-diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids