An unfitted finite element method for the Darcy problem in a fracture network
From MaRDI portal
Publication:2332728
DOI10.1016/j.cam.2019.112424zbMath1448.76152arXiv1903.06351OpenAlexW2969707850WikidataQ127338721 ScholiaQ127338721MaRDI QIDQ2332728
Alexey Y. Chernyshenko, Maxim A. Olshanskii
Publication date: 5 November 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.06351
Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (max. 100)
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures ⋮ Discontinuous finite volume element method for Darcy flows in fractured porous media ⋮ Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem ⋮ A cut finite element method for a model of pressure in fractured media ⋮ An optimization approach for flow simulations in poro-fractured media with complex geometries ⋮ Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical integration over implicitly defined domains for higher order unfitted finite element methods
- On the use of enriched finite element method to model subsurface features in porous media flow problems
- Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
- A hybrid finite volume -- finite element method for bulk-surface coupled problems
- A stabilized mixed finite element method for Darcy flow
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A stabilized cut finite element method for the Darcy problem on surfaces
- Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
- A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures
- A review of the XFEM-based approximation of flow in fractured porous media
- Trace finite element methods for PDEs on surfaces
- A reduced model for Darcy’s problem in networks of fractures
- Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations
- CutFEM: Discretizing geometry and partial differential equations
- A Finite Element Method for Elliptic Equations on Surfaces
- Analysis of trace finite element methods for surface partial differential equations
- Reservoir Geomechanics
- Asymptotic and numerical modelling of flows in fractured porous media
- On the poisson equation with intersecting interfaces
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Robust Discretization of Flow in Fractured Porous Media
- A Finite Element Method for the Surface Stokes Problem
- Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
- A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
- Inf-sup stability of geometrically unfitted Stokes finite elements
- Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
- Finite element analysis for a coupled bulk-surface partial differential equation
- On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
This page was built for publication: An unfitted finite element method for the Darcy problem in a fracture network
