A nonlinear correction and maximum principle for diffusion operators with hybrid schemes
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Publication:664938
DOI10.1016/j.crma.2011.11.008zbMath1236.65138OpenAlexW2017574623MaRDI QIDQ664938
Amadou Mahamane, Christophe Le Potier
Publication date: 5 March 2012
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2011.11.008
maximum principlenumerical examplefinite volume methodconvection-diffusion equationnonlinear correctionoscillation elimination
Boundary value problems for second-order elliptic equations (35J25) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
- Unnamed Item
- Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
- Accelerated non-linear finite volume method for diffusion
- A nonlinear correction and maximum principle for diffusion operators discretized using cell-centered finite volume schemes
- A linear scheme satisfying a maximum principle for anisotropic diffusion operators on distorted grids
- Local flux mimetic finite difference methods
- Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
- Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
- Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
- Mixed and Hybrid Finite Element Methods
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS