A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation
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Publication:6049360
DOI10.1016/j.cam.2023.115438zbMath1523.65087OpenAlexW4383164091MaRDI QIDQ6049360
Zhiqiang Sheng, Guang-Wei Yuan
Publication date: 15 September 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115438
Numerical computation of solutions to systems of equations (65H10) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Second-order elliptic equations (35J15) Picard schemes, higher Jacobians (14K30) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- Unnamed Item
- A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
- Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
- 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
- Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes
- Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems
- Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations
- A new nonlinear finite volume scheme preserving positivity for diffusion equations
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
- 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
- Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
- A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
- Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
- 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 Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
- Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes
