Nonlinear finite volume scheme preserving positivity for 2D convection-diffusion equations on polygonal meshes
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Publication:2007143
DOI10.1155/2020/7343716zbMath1459.65216OpenAlexW3080455851MaRDI QIDQ2007143
Publication date: 12 October 2020
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/7343716
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- 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
- Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems
- A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support
- 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
- Physical constraints in numerical calculations of diffusion
- Elliptic partial differential equations of second order
- 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 cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation
- 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).
- Mixed Hybrid Finite Element Method for a Variational Inequality with a Quasi-linear Operator
- Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes
- 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
- A monotone finite volume scheme for advection–diffusion equations on distorted meshes
- A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes
- A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION–DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES
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