A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations
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Publication:5162146
DOI10.4208/cicp.OA-2019-0066zbMath1473.65151OpenAlexW3008787160MaRDI QIDQ5162146
Zhiqiang Sheng, Fei Zhao, Xiang Lai, Guang-Wei Yuan
Publication date: 1 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0066
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Acceleration of convergence in numerical analysis (65B99)
Related Items (4)
A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes ⋮ A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations ⋮ 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
Cites Work
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- Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations
- A finite volume method for approximating 3D diffusion operators on general meshes
- Monotonicity of control volume methods
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- A family of monotone methods for the numerical solution of three-dimensional diffusion problems on unstructured tetrahedral meshes
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media
- Approximation of 2D and 3D diffusion operators with variable full tensor coefficients on arbitrary meshes
- A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes
- 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 characterization of the behavior of the Anderson acceleration on linear problems
- A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation
- A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- Unstructured grid optimization for improved monotonicity of discrete solutions of elliptic equations with highly anisotropic coefficients
- 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).
- Two classes of multisecant methods for nonlinear acceleration
- Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted 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
- A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
- Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
- The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations
- Failure of the discrete maximum principle for an elliptic finite element problem
- A monotone finite volume scheme for advection–diffusion equations on distorted meshes
- An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem
- Nonnegativity-Preserving Repair Techniques for the Finite Element Solutions of Degenerate Nonlinear Parabolic Problems
- Convergence Analysis for Anderson Acceleration
- Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
- Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems
- A Finite Volume Scheme for Three-Dimensional Diffusion Equations
- Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes
- Iterative Procedures for Nonlinear Integral Equations
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