Multiscale Finite-Volume CVD-MPFA Formulations on Structured and Unstructured Grids
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Publication:2806419
DOI10.1137/140953691zbMath1381.76224OpenAlexW2336025528MaRDI QIDQ2806419
Elliot Parramore, Sadok Lamine, Mayur Pal, Michael G. Edwards
Publication date: 18 May 2016
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa30223/Download/0030223-27022017154459.pdf
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) PDEs with low regular coefficients and/or low regular data (35R05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- A hierarchical fracture model for the iterative multiscale finite volume method
- A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids
- Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids
- Accurate multiscale finite element methods for two-phase flow simulations
- Multiscale mixed/mimetic methods on corner-point grids
- On the relationship between the multiscale finite volume method and domain decomposition preconditioners
- A comparison of multiscale methods for elliptic problems in porous media flow
- Finite volume discretization with imposed flux continuity for the general tensor pressure equation
- Control-volume mixed finite element methods
- The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
- A multiscale finite element method for elliptic problems in composite materials and porous media
- A finite volume method for the approximation of diffusion operators on distorted meshes
- A triangle based mixed finite element -- finite volume technique for modeling two phase flow through porous media
- Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids
- Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
- Finite volume scheme for highly anisotropic diffusion operators on unstructured meshes
- The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes
- Multiscale Finite-Volume CVD-MPFA Formulations on Structured and Unstructured Grids
- Compact Multiscale Finite Volume Method for Heterogeneous Anisotropic Elliptic Equations
- Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell-Centered Triangular Grids
- Mixed and Hybrid Finite Element Methods
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
- A Multipoint Flux Mixed Finite Element Method
- A Multiscale Mortar Mixed Finite Element Method
- A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
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