A discrete fracture-matrix approach based on Petrov-Galerkin immersed finite element for fractured porous media flow on nonconforming mesh

DOI10.1016/j.jcp.2023.112718OpenAlexW4390116366MaRDI QIDQ6196617

Jijing Zhao, Hong-Xing Rui

Publication date: 14 March 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112718

zbMATH Keywords

finite element methodfractured porous medianonconforming meshesPetrov-Galerkin immersed finite element method

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)

Cites Work

• Unnamed Item
• A hierarchical fracture model for the iterative multiscale finite volume method
• A weak formulation for solving elliptic interface problems without body fitted grid
• A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients
• The immersed interface method using a finite element formulation
• New Cartesian grid methods for interface problems using the finite element formulation
• Dimensionally reduced flow models in fractured porous media: crossings and boundaries
• A numerical method for solving three-dimensional elliptic interface problems with triple junction points
• Cut finite elements for convection in fractured domains
• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in porous media
• The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media
• Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis
• An immersed finite element method for elliptic interface problems in three dimensions
• A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals
• A new discrete fracture approach based on the use of coupling finite elements for modeling fluid transport in naturally fractured porous media
• Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM)
• 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
• Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
• Error analysis of Petrov-Galerkin immersed finite element methods
• On the accuracy of finite element approximations to a class of interface problems
• A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
• A reduced model for Darcy’s problem in networks of fractures
• Asymptotic and numerical modelling of flows in fractured porous media
• Inf‐sup stability of Petrov‐Galerkin immersed finite element methods for one‐dimensional elliptic interface problems
• Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
• An immersed finite element space and its approximation capability
• A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients
• Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

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