An unfitted finite element method for the Darcy problem in a fracture network
type: Item
instance of: scholarly article
title: An unfitted finite element method for the Darcy problem in a fracture network
zbMATH Open document ID: 1448.76152
published in: Journal of Computational and Applied Mathematics
publication date: 2019-11-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1903.06351
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7126182
zbMATH Keywords: fractured porous media
zbMATH Keywords: Darcy
zbMATH Keywords: trace FEM
zbMATH Keywords: unfitted meshes
zbMATH Keywords: Octree grid
author: Alexey Y. Chernyshenko
author: Maxim A. Olshanskii
describes a project that uses: CutFEM
MaRDI profile type: Publication
OpenAlex ID: W2969707850
arXiv ID: 1903.06351
cites work: Reservoir Geomechanics
cites work: Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
cites work: Robust Discretization of Flow in Fractured Porous Media
cites work: A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
cites work: A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures
cites work: On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
cites work: A review of the XFEM-based approximation of flow in fractured porous media
cites work: On the use of enriched finite element method to model subsurface features in porous media flow problems
cites work: A hybrid finite volume -- finite element method for bulk-surface coupled problems
cites work: A reduced model for Darcy's problem in networks of fractures
cites work: A stabilized cut finite element method for the Darcy problem on surfaces
cites work: Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
cites work: A Finite Element Method for Elliptic Equations on Surfaces
cites work: Trace finite element methods for PDEs on surfaces
cites work: CutFEM: Discretizing geometry and partial differential equations
cites work: An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
cites work: Q3152623
cites work: Asymptotic and numerical modelling of flows in fractured porous media
cites work: Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
cites work: A stabilized mixed finite element method for Darcy flow
cites work: Unfitted finite element methods using bulk meshes for surface partial differential equations
cites work: Analysis of trace finite element methods for surface partial differential equations
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
cites work: Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
cites work: A Finite Element Method for the Surface Stokes Problem
cites work: Numerical integration over implicitly defined domains for higher order unfitted finite element methods
cites work: Finite element analysis for a coupled bulk-surface partial differential equation
cites work: On the poisson equation with intersecting interfaces
cites work: Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
cites work: Inf-sup stability of geometrically unfitted Stokes finite elements
cites work: Q3470840
Wikidata QID: Q127338721
DOI: 10.1016/J.CAM.2019.112424
description: scientific article