Weak Galerkin finite element methods for the simulation of single-phase flow in fractured porous media

DOI10.1007/s10915-018-0673-2zbMath1404.65281OpenAlexW2787947010MaRDI QIDQ1670001

Jinjin Yang, Gang Wang, Yin-Nian He

Publication date: 4 September 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0673-2

zbMATH Keywords

weak Galerkingeneral meshesflow in fractured porous media

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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 volume methods for boundary value problems involving PDEs (65N08)

Related Items (5)

A Stokes-Darcy-Darcy model and its discontinuous Galerkin method on polytopic grids ⋮ Discontinuous finite volume element method for Darcy flows in fractured porous media ⋮ Second-order Numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media ⋮ Modeling and numerical analysis of compressible Darcy-Brinkman fluid flow in fractured media with finite volume method on non-matching grids ⋮ Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model

Uses Software

• iFEM
• PolyMesher

Cites Work

• Unnamed Item
• Unnamed Item
• On application of the weak Galerkin finite element method to a two-phase model for subsurface flow
• Weak Galerkin methods for second order elliptic interface problems
• Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
• A \(C^0\)-weak Galerkin finite element method for the biharmonic equation
• Mimetic finite difference method
• A hybrid high-order locking-free method for linear elasticity on general meshes
• A new weak Galerkin finite element method for elliptic interface problems
• A discrete divergence free weak Galerkin finite element method for the Stokes equations
• A systematic study on weak Galerkin finite element methods for second order elliptic problems
• A weak Galerkin finite element method for second-order elliptic problems
• A weak Galerkin finite element method with polynomial reduction
• Mimetic finite difference approximation of flows in fractured porous media
• A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
• A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
• A new weak Galerkin finite element method for the Helmholtz equation
• A weak Galerkin mixed finite element method for second order elliptic problems
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• Asymptotic and numerical modelling of flows in fractured porous media
• Mixed and Hybrid Finite Element Methods
• Dual Virtual Element Method for Discrete Fractures Networks
• A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
• Weak Galerkin method for the coupled Darcy–Stokes flow
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• The Hitchhiker's Guide to the Virtual Element Method
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• A weak Galerkin finite element method for the Stokes equations

This page was built for publication: Weak Galerkin finite element methods for the simulation of single-phase flow in fractured porous media