Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model

DOI10.1016/j.cam.2022.114732zbMath1502.65222OpenAlexW4291594657WikidataQ114201652 ScholiaQ114201652MaRDI QIDQ2088818

Jijing Zhao, Hong-Xing Rui

Publication date: 6 October 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.2022.114732

zbMATH Keywords

finite element methodDarcy lawreduced modelfractured porous mediaweak Galerkin finite element method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Friction in solid mechanics (74M10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Finite element methods applied to problems in fluid mechanics (76M10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh

Cites Work

• Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
• A weak Galerkin finite element method for the Maxwell equations
• The virtual element method for discrete fracture network simulations
• Weak Galerkin finite element methods for the simulation of single-phase flow in fractured porous media
• A weak Galerkin finite element method for second-order elliptic problems
• A cut finite element method for a model of pressure in fractured media
• A stabilizer-free weak Galerkin finite element method on polytopal meshes
• A two-grid decoupled algorithm for fracture models
• An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
• A review of the XFEM-based approximation of flow in fractured porous media
• A Lagrange multiplier method for a discrete fracture model for flow in porous media
• Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation
• A reduced model for Darcy’s problem in networks of fractures
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
• Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
• A Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman Problems
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes

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