A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
From MaRDI portal
Publication:2000464
DOI10.1016/j.jcp.2018.06.052zbMath1415.65246OpenAlexW2809386994MaRDI QIDQ2000464
Jiming Wu, Qiannan Dong, Shuai Su
Publication date: 28 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.06.052
Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (18)
A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ The VEM-based positivity-preserving conservative scheme for radiation diffusion problems on generalized polyhedral meshes ⋮ A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes ⋮ A positivity-preserving finite volume scheme for multi-group neutron diffusion kinetics equations with delayed neutrons ⋮ An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ A virtual element method‐based positivity‐preserving conservative scheme for convection–diffusion problems on polygonal meshes ⋮ A positivity-preserving RD-FV scheme for diffusion problems on triangular meshes ⋮ Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons ⋮ A monotone combination scheme of diffusion equations on polygonal meshes ⋮ A strong positivity‐preserving finite volume scheme for convection–diffusion equations on tetrahedral meshes ⋮ A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes ⋮ Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes ⋮ A Decoupled and Positivity-Preserving DDFVS cheme for Diffusion Problems on Polyhedral Meshes ⋮ An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes ⋮ A positivity-preserving finite volume scheme with least square interpolation for 3D anisotropic diffusion equation ⋮ A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes ⋮ A multipoint flux approximation with a diamond stencil and a non-linear defect correction strategy for the numerical solution of steady state diffusion problems in heterogeneous and anisotropic media satisfying the discrete maximum principle ⋮ Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- TRHD: Three-temperature radiation-hydrodynamics code with an implicit non-equilibrium radiation transport using a cell-centered monotonic finite volume scheme on unstructured-grids
- Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
- Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
- The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
- A nonlinear correction and maximum principle for diffusion operators with hybrid schemes
- Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations
- A finite volume method for approximating 3D diffusion operators on general meshes
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- An efficient cell-centered diffusion scheme for quadrilateral grids
- Sufficient criteria are necessary for monotone control volume methods
- Approximation of 2D and 3D diffusion operators with variable full tensor coefficients on arbitrary meshes
- Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes.
- A finite volume method for the approximation of diffusion operators on distorted meshes
- Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
- 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
- Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids
- A finite volume method for solving Maxwell equations in inhomogeneous media on arbitrary meshes
- The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient
- 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).
- Gradient schemes: Generic tools for the numerical analysis of diffusion equations
- A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
- 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
- The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes
- A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
- The Discrete Duality Finite Volume Method for Convection-diffusion Problems
- Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
- A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations
- Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
- A Discrete Duality Finite Volume Approach to Hodge Decomposition and div‐curl Problems on Almost Arbitrary Two‐Dimensional Meshes
- Approximating second-order vector differential operators on distorted meshes in two space dimensions
- Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
- Une méthode de volumes finis pour les équations elliptiques du second ordre
- Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients
- On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality
- A monotone finite volume scheme for advection–diffusion equations on distorted meshes
- On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- A discrete duality finite volume discretization of the vorticity‐velocity‐pressure stokes problem on almost arbitrary two‐dimensional grids
- A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
- Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
- Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations
- A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
- 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: A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
