A monotone finite volume element scheme for diffusion equations on triangular grids
DOI10.1016/j.camwa.2021.11.011OpenAlexW3214788881MaRDI QIDQ825494
Publication date: 17 December 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.11.011
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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 (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
- Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes
- Higher-order finite volume methods for elliptic boundary value problems
- Monotonicity of control volume methods
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes
- A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes
- \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
- Physical constraints in numerical calculations of diffusion
- A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
- A monotone finite volume scheme for diffusion equations on general non-conforming meshes
- An introduction to multipoint flux approximations for quadrilateral grids
- Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes
- A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes
- A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation
- Preserving monotonicity in anisotropic diffusion
- 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).
- Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems
- A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
- Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
- Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
- Failure of the discrete maximum principle for an elliptic finite element problem
- A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
- Monotone Finite Difference Schemes for Anisotropic Diffusion Problems via Nonnegative Directional Splittings
This page was built for publication: A monotone finite volume element scheme for diffusion equations on triangular grids
