Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media
DOI10.1515/anly-2018-0019zbMath1477.65210OpenAlexW3183435953MaRDI QIDQ1983524
Hassan El Amri, Omar El Moutea
Publication date: 10 September 2021
Published in: Analysis (München) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anly-2018-0019
simulationexistence and uniquenessdiscrete problemmixed finite elementflow and transport in porous mediacomputation of fluxesnonconforming finite volume methods
Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Uses Software
Cites Work
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- Special issue on simulation of transport around a nuclear waste disposal site: The \texttt{COUPLEX} test cases
- JHomogenizer: a computational tool for upscaling permeability for flow in heterogeneous porous media
- A finite volume method for approximating 3D diffusion operators on general meshes
- A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
- A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
- Approximation of 2D and 3D diffusion operators with variable full tensor coefficients on arbitrary meshes
- Numerical and theoretical study of a dual mesh method using finite volume schemes for two-phase flow problems in porous media
- Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes.
- Numerical simulation of two-phase flow through heterogeneous porous media
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
- Analysis on general meshes of a discrete duality finite volume method for subsurface flow problems
- Adaptive finite volume methods for displacement problems in porous media
- Nonconforming finite volume methods
- Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
- On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods
- Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
- Mixed and Hybrid Finite Element Methods
- Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
- Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
- A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
- Finite Volume Methods for Hyperbolic Problems
- Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
- Superconvergence for Control‐Volume Mixed Finite Element Methods on Rectangular Grids
- A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
- A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
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