Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations
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Publication:5110274
DOI10.1051/m2an/2019075zbMath1442.65202OpenAlexW2981957560MaRDI QIDQ5110274
Publication date: 18 May 2020
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2019075
Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) 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) Quasilinear parabolic equations (35K59)
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Cites Work
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- Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
- Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
- On the finite volume element method
- A mixed finite volume scheme for anisotropic diffusion problems on any grid
- A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
- The gradient discretisation method
- Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
- Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure
- Positive control volume finite element scheme for a degenerate compressible two-phase flow in anisotropic porous media
- Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
- Mathematical analysis of nonlinear models of petrol engineering
- Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
- Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations
- A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
- Convergence of a symmetric MPFA method on quadrilateral grids
- On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
- Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
- Small-stencil 3D schemes for diffusive flows in porous media
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Finite Volume Methods for Hyperbolic Problems
- Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy
- A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
- Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- Computational Methods for Multiphase Flows in Porous Media
- A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
