Generalized multiscale finite element methods for the reduced model of Darcy flow in fractured porous media

DOI10.1016/j.cam.2022.114305zbMath1492.65297OpenAlexW4224235948WikidataQ114201845 ScholiaQ114201845MaRDI QIDQ2146327

Shuyu Sun, Huangxin Chen, Manal Alotaibi

Publication date: 16 June 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114305

zbMATH Keywords

generalized multiscale finite element methodDarcy flowdiscrete fracture modelfractured porous media

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (4)

Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media ⋮ Second-order Numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media ⋮ Colloidal transport in anisotropic porous media: kinetic equation and its upscaling ⋮ Multicontinuum homogenization and its relation to nonlocal multicontinuum theories

Cites Work

• Generalized multiscale finite element methods (GMsFEM)
• Generalized multiscale finite element method. Symmetric interior penalty coupling
• A hierarchical fracture model for the iterative multiscale finite volume method
• Multiscale finite element methods for high-contrast problems using local spectral basis functions
• Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method
• Non-local multi-continua upscaling for flows in heterogeneous fractured media
• Generalized multiscale finite element method for multicontinua unsaturated flow problems in fractured porous media
• Generalized multiscale finite element method for the poroelasticity problem in multicontinuum media
• A residual-based a posteriori error estimator for single-phase Darcy flow in fractured porous media
• Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media
• Modelling fluid flow in fractured-porous rock masses by finite-element techniques
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

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