A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations
From MaRDI portal
Publication:6581988
DOI10.1016/j.cam.2024.116023zbMATH Open1542.65138MaRDI QIDQ6581988
Dan Wu, Junliang Lv, Zhiqiang Sheng
Publication date: 1 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
- A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems
- The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
- \(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral 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
- 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
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- A cell-centered Lagrangian-mesh diffusion differencing scheme
- A finite volume method for the approximation of diffusion operators on distorted meshes
- A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
- The repair paradigm and application to conservation laws
- Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes
- A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes
- Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems
- A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle
- Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes
- An improvement of the two-point flux approximation scheme on polygonal meshes
- A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes
- A \(Q_1\)-finite volume element scheme for anisotropic diffusion problems on general convex quadrilateral mesh
- A new nonlinear finite volume scheme preserving positivity for diffusion equations
- Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients
- 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).
- Error estimate of the cell-centered nonlinear positivity-preserving two-point flux approximation schemes
- A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes
- A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints
- Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
- The Finite Volume Element Method for Diffusion Equations on General Triangulations
- The G method for heterogeneous anisotropic diffusion on general meshes
- A monotone nonlinear finite volume method for advection–diffusion equations on unstructured polyhedral meshes in 3D
- A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations
- Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
- A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
- Minimal stencil finite volume scheme with the discrete maximum principle
- Parallel Finite Volume Computation on General Meshes
- Meshfree Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- Nonnegativity-Preserving Repair Techniques for the Finite Element Solutions of Degenerate Nonlinear Parabolic Problems
- A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
- A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
- A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
- The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle
- A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes
- Finite volume element method for nonlinear elliptic equations on quadrilateral meshes
This page was built for publication: A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations