A strong positivity‐preserving finite volume scheme for convection–diffusion equations on tetrahedral meshes
DOI10.1002/zamm.202200032MaRDI QIDQ6202679
Fei Zhao, Guang-Wei Yuan, Zhiqiang Sheng
Publication date: 26 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Fixed-point theorems (47H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Solutions to PDEs in closed form (35C05) Positive solutions to PDEs (35B09) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- Unnamed Item
- Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- A finite volume method for advection-diffusion problems in convection-dominated regimes
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
- 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 pyramid scheme for three-dimensional diffusion equations on polyhedral meshes
- Monotone nonlinear finite-volume method for challenging grids
- A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
- An improvement of the two-point flux approximation scheme on polygonal meshes
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A new nonlinear finite volume scheme preserving positivity for diffusion equations
- 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
- 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).
- A monotone nonlinear finite volume method for advection–diffusion equations on unstructured polyhedral meshes in 3D
- Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes
- A monotone finite volume scheme for advection–diffusion equations on distorted meshes
- A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations
- 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
- A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION–DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES
- A Finite Volume Scheme for Three-Dimensional Diffusion Equations
- Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes
- An upwind finite‐volume element scheme and its maximum‐principle‐preserving property for nonlinear convection–diffusion problem
- A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
- A positive scheme for diffusion problems on deformed meshes
This page was built for publication: A strong positivity‐preserving finite volume scheme for convection–diffusion equations on tetrahedral meshes
