ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

Numerical Mathematics and Advanced Applications 2011

A. Fumagalli and A. Scotti
Numerical Mathematics and Advanced Applications 2011 499 (2013)
DOI: 10.1007/978-3-642-33134-3_53
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An unfitted finite element method for the Darcy problem in a fracture network

Alexey Y. Chernyshenko and Maxim A. Olshanskii
Journal of Computational and Applied Mathematics 366 112424 (2020)
DOI: 10.1016/j.cam.2019.112424
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Theoretical and numerical study of the steady-state flow through finite fractured porous media

Minh-Ngoc Vu, Ahmad Pouya and Darius M. Seyedi
International Journal for Numerical and Analytical Methods in Geomechanics 38 (3) 221 (2014)
DOI: 10.1002/nag.2200
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A numerical method for two-phase flow in fractured porous media with non-matching grids

Alessio Fumagalli and Anna Scotti
Advances in Water Resources 62 454 (2013)
DOI: 10.1016/j.advwatres.2013.04.001
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The hydromechanical equilibrium state of poroelastic media with a static fracture: A dimension-reduced model with existence results in weighted Sobolev spaces and simulations with an XFEM discretization

Katja K. Hanowski and Oliver Sander
Mathematical Models and Methods in Applied Sciences 28 (13) 2511 (2018)
DOI: 10.1142/S0218202518500549
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Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media

Konstantin Brenner, Mayya Groza, Laurent Jeannin, Roland Masson and Jeanne Pellerin
Computational Geosciences 21 (5-6) 1075 (2017)
DOI: 10.1007/s10596-017-9675-7
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Numerical upscaling for heterogeneous materials in fractured domains

Fredrik Hellman, Axel Målqvist and Siyang Wang
ESAIM: Mathematical Modelling and Numerical Analysis 55 S761 (2021)
DOI: 10.1051/m2an/2020061
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Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models

Martin J. Gander, Julian Hennicker and Roland Masson
SIAM Journal on Numerical Analysis 59 (1) 195 (2021)
DOI: 10.1137/20M1312125
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A reduced fracture model for two-phase flow with different rock types

Elyes Ahmed, Jérôme Jaffré and Jean E. Roberts
Mathematics and Computers in Simulation 137 49 (2017)
DOI: 10.1016/j.matcom.2016.10.005
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Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation

Thi-Thao-Phuong Hoang, Caroline Japhet, Michel Kern and Jean E. Roberts
SIAM Journal on Numerical Analysis 54 (1) 288 (2016)
DOI: 10.1137/15M1009651
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Modeling flow in porous media with fractures; Discrete fracture models with matrix-fracture exchange

J. Jaffré and J. E. Roberts
Numerical Analysis and Applications 5 (2) 162 (2012)
DOI: 10.1134/S1995423912020103
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Advances in Discretization Methods

Bernd Flemisch, Alessio Fumagalli and Anna Scotti
SEMA SIMAI Springer Series, Advances in Discretization Methods 12 47 (2016)
DOI: 10.1007/978-3-319-41246-7_3
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Model reduction and discretization using hybrid finite volumes for flow in porous media containing faults

Isabelle Faille, Alessio Fumagalli, Jérôme Jaffré and Jean E. Roberts
Computational Geosciences 20 (2) 317 (2016)
DOI: 10.1007/s10596-016-9558-3
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A multiscale Darcy–Brinkman model for fluid flow in fractured porous media

Matteo Lesinigo, Carlo D’Angelo and Alfio Quarteroni
Numerische Mathematik 117 (4) 717 (2011)
DOI: 10.1007/s00211-010-0343-2
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A model for conductive faults with non-matching grids

Xavier Tunc, Isabelle Faille, Thierry Gallouët, Marie Christine Cacas and Pascal Havé
Computational Geosciences 16 (2) 277 (2012)
DOI: 10.1007/s10596-011-9267-x
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An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media

Alessio Fumagalli and Anna Scotti
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69 (4) 555 (2014)
DOI: 10.2516/ogst/2013192
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Forchheimer’s correction in modelling flow and transport in fractured porous media

Alfio Grillo, Dmitriy Logashenko, Sabine Stichel and Gabriel Wittum
Computing and Visualization in Science 15 (4) 169 (2012)
DOI: 10.1007/s00791-013-0208-1
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Modeling fractures as interfaces with nonmatching grids

Najla Frih, Vincent Martin, Jean Elizabeth Roberts and Ali Saâda
Computational Geosciences 16 (4) 1043 (2012)
DOI: 10.1007/s10596-012-9302-6
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Simulation of density-driven flow in fractured porous media

A. Grillo, D. Logashenko, S. Stichel and G. Wittum
Advances in Water Resources 33 (12) 1494 (2010)
DOI: 10.1016/j.advwatres.2010.08.004
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Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix–fracture interfaces

K. Brenner, J. Hennicker, R. Masson and P. Samier
IMA Journal of Numerical Analysis drw044 (2016)
DOI: 10.1093/imanum/drw044
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Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture

Peter Knabner and Jean E. Roberts
ESAIM: Mathematical Modelling and Numerical Analysis 48 (5) 1451 (2014)
DOI: 10.1051/m2an/2014003
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High Performance Computing in Science and Engineering

Jan Březina and Jan Stebel
Lecture Notes in Computer Science, High Performance Computing in Science and Engineering 9611 152 (2016)
DOI: 10.1007/978-3-319-40361-8_11
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Preparation of grids for simulations of groundwater flow in fractured porous media

Sebastian Reiter, Dmitry Logashenko, Alfio Grillo and Gabriel Wittum
Computing and Visualization in Science 15 (4) 209 (2012)
DOI: 10.1007/s00791-013-0210-7
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On the well-posed coupling between free fluid and porous viscous flows

Philippe Angot
Applied Mathematics Letters 24 (6) 803 (2011)
DOI: 10.1016/j.aml.2010.07.008
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Modelling of steady-state fluid flow in 3D fractured isotropic porous media: application to effective permeability calculation

Minh-Ngoc Vu, Ahmad Pouya and Darius M. Seyedi
International Journal for Numerical and Analytical Methods in Geomechanics 37 (14) 2257 (2013)
DOI: 10.1002/nag.2134
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Asymptotic modeling of transport phenomena at the interface between a fluid and a porous layer: Jump conditions

Philippe Angot, Benoît Goyeau and J. Alberto Ochoa-Tapia
Physical Review E 95 (6) (2017)
DOI: 10.1103/PhysRevE.95.063302
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A reduced model for Darcy’s problem in networks of fractures

Luca Formaggia, Alessio Fumagalli, Anna Scotti and Paolo Ruffo
ESAIM: Mathematical Modelling and Numerical Analysis 48 (4) 1089 (2014)
DOI: 10.1051/m2an/2013132
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Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions

Konstantin Brenner, Julian Hennicker, Roland Masson and Pierre Samier
Journal of Computational Physics 357 100 (2018)
DOI: 10.1016/j.jcp.2017.12.003
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An evolutionary system for exploitation of fractured geothermal reservoirs

Mauro Castelli and Alessio Fumagalli
Computational Geosciences 20 (2) 385 (2016)
DOI: 10.1007/s10596-015-9552-1
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Dimensionally reduced flow models in fractured porous media: crossings and boundaries

Nicolas Schwenck, Bernd Flemisch, Rainer Helmig and Barbara I. Wohlmuth
Computational Geosciences 19 (6) 1219 (2015)
DOI: 10.1007/s10596-015-9536-1
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Fully Coupled Nonlinear Fluid Flow and Poroelasticity in Arbitrarily Fractured Porous Media: A Hybrid-Dimensional Computational Model

L. Jin and M. D. Zoback
Journal of Geophysical Research: Solid Earth 122 (10) 7626 (2017)
DOI: 10.1002/2017JB014892
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A block-centered finite difference method for an unsteady asymptotic coupled model in fractured media aquifer system

Wei Liu, Jintao Cui and Jie Xin
Journal of Computational and Applied Mathematics 337 319 (2018)
DOI: 10.1016/j.cam.2017.12.035
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Uncertainty quantification in reservoirs with faults using a sequential approach

Samuel Estes and Clint Dawson
Computational Geosciences 25 (3) 851 (2021)
DOI: 10.1007/s10596-020-10021-2
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A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion

Joubine Aghili, Jean-Raynald de Dreuzy, Roland Masson and Laurent Trenty
Journal of Computational Physics 441 110452 (2021)
DOI: 10.1016/j.jcp.2021.110452
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A multiscale flux basis for mortar mixed discretizations of reduced Darcy–Forchheimer fracture models

Elyes Ahmed, Alessio Fumagalli and Ana Budiša
Computer Methods in Applied Mechanics and Engineering 354 16 (2019)
DOI: 10.1016/j.cma.2019.05.034
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Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

K. Brenner, M. Groza, C. Guichard and R. Masson
ESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 303 (2015)
DOI: 10.1051/m2an/2014034
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Flow simulations in porous media with immersed intersecting fractures

Stefano Berrone, Sandra Pieraccini and Stefano Scialò
Journal of Computational Physics 345 768 (2017)
DOI: 10.1016/j.jcp.2017.05.049
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Parallel vertex approximate gradient discretization of hybrid dimensional Darcy flow and transport in discrete fracture networks

Feng Xing, Roland Masson and Simon Lopez
Computational Geosciences 21 (4) 595 (2017)
DOI: 10.1007/s10596-016-9606-z
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Coupled mechanical and fluid flow analysis in fractured saturated porous media using the XFEM

Mariela Luege, Javier Lucero, Celeste Torrijos and Antonio Orlando
Applied Mathematical Modelling 40 (7-8) 4480 (2016)
DOI: 10.1016/j.apm.2015.11.032
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The finite volume method based on the Crouzeix–Raviart element for a fracture model

Shuangshuang Chen, Xiaoli Li and Hongxing Rui
Numerical Methods for Partial Differential Equations 35 (5) 1904 (2019)
DOI: 10.1002/num.22384
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Advanced computation of steady-state fluid flow in Discrete Fracture-Matrix models: FEM–BEM and VEM–VEM fracture-block coupling

S. Berrone, A. Borio, C. Fidelibus, et al.
GEM - International Journal on Geomathematics 9 (2) 377 (2018)
DOI: 10.1007/s13137-018-0105-3
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A Double-Layer Reduced Model for Fault Flow on Slipping Domains with an Hybrid Finite Volume Scheme

Alessio Fumagalli and Isabelle Faille
Journal of Scientific Computing 77 (2) 885 (2018)
DOI: 10.1007/s10915-018-0740-8
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A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media

Lars H. Odsæter, Trond Kvamsdal and Mats G. Larson
Computer Methods in Applied Mechanics and Engineering 343 572 (2019)
DOI: 10.1016/j.cma.2018.09.003
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Parallel numerical modeling of hybrid-dimensional compositional non-isothermal Darcy flows in fractured porous media

F. Xing, R. Masson and S. Lopez
Journal of Computational Physics 345 637 (2017)
DOI: 10.1016/j.jcp.2017.05.043
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Nitsche’s extended finite element method for a fracture model in porous media

D. Capatina, R. Luce, H. El-Otmany and N. Barrau
Applicable Analysis 95 (10) 2224 (2016)
DOI: 10.1080/00036811.2015.1075007
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Gradient discretization of hybrid dimensional Darcy flows in fractured porous media

Konstantin Brenner, Mayya Groza, Cindy Guichard, Gilles Lebeau and Roland Masson
Numerische Mathematik 134 (3) 569 (2016)
DOI: 10.1007/s00211-015-0782-x
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Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems

Carlo D'Angelo
SIAM Journal on Numerical Analysis 50 (1) 194 (2012)
DOI: 10.1137/100813853
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Aspects of Solvers for Large-Scale Coupled Problems in Porous Media

Arne Nägel, Dmitry Logashenko, Jacob B. Schroder and Ulrike M. Yang
Transport in Porous Media 130 (1) 363 (2019)
DOI: 10.1007/s11242-019-01323-w
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Robust Discretization of Flow in Fractured Porous Media

Wietse M. Boon, Jan M. Nordbotten and Ivan Yotov
SIAM Journal on Numerical Analysis 56 (4) 2203 (2018)
DOI: 10.1137/17M1139102
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An upscaling procedure for fractured reservoirs with embedded grids

Alessio Fumagalli, Luca Pasquale, Stefano Zonca and Stefano Micheletti
Water Resources Research 52 (8) 6506 (2016)
DOI: 10.1002/2015WR017729
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Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM

Marco Del Pra, Alessio Fumagalli and Anna Scotti
SIAM Journal on Numerical Analysis 55 (2) 785 (2017)
DOI: 10.1137/15M1022574
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Mimetic finite difference approximation of flows in fractured porous media

Paola F. Antonietti, Luca Formaggia, Anna Scotti, Marco Verani and Nicola Verzott
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 809 (2016)
DOI: 10.1051/m2an/2015087
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Laboratory and numerical investigation of saline intrusion in fractured coastal aquifers

Georgios Etsias, Gerard A. Hamill, Daniel Campbell, et al.
Advances in Water Resources 149 103866 (2021)
DOI: 10.1016/j.advwatres.2021.103866
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A two-grid decoupled algorithm for fracture models

Shuangshuang Chen and Hongxing Rui
Computers & Mathematics with Applications 76 (5) 1161 (2018)
DOI: 10.1016/j.camwa.2018.06.005
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A multi-layer reduced model for flow in porous media with a fault and surrounding damage zones

Alessio Fumagalli and Anna Scotti
Computational Geosciences 24 (3) 1347 (2020)
DOI: 10.1007/s10596-020-09954-5
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First-order indicators for the estimation of discrete fractures in porous media

H. Ben Ameur, G. Chavent, F. Cheikh, F. Clément, V. Martin and J. E. Roberts
Inverse Problems in Science and Engineering 26 (1) 1 (2018)
DOI: 10.1080/17415977.2017.1290087
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Geometric multigrid methods for Darcy–Forchheimer flow in fractured porous media

A. Arrarás, F.J. Gaspar, L. Portero and C. Rodrigo
Computers & Mathematics with Applications 78 (9) 3139 (2019)
DOI: 10.1016/j.camwa.2019.04.031
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Mixed-Dimensional Auxiliary Space Preconditioners

Ana Budiša, Wietse M. Boon and Xiaozhe Hu
SIAM Journal on Scientific Computing 42 (5) A3367 (2020)
DOI: 10.1137/19M1292618
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A simple finite element method for elliptic bulk problems with embedded surfaces

Erik Burman, Peter Hansbo and Mats G. Larson
Computational Geosciences 23 (1) 189 (2019)
DOI: 10.1007/s10596-018-9792-y
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Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches

Inga Berre, Florian Doster and Eirik Keilegavlen
Transport in Porous Media 130 (1) 215 (2019)
DOI: 10.1007/s11242-018-1171-6
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Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media

Andrés Arrarás, Francisco J. Gaspar, Laura Portero and Carmen Rodrigo
SIAM Journal on Scientific Computing 41 (5) B1082 (2019)
DOI: 10.1137/18M1224751
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A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media

Florent Chave, Daniele A. Di Pietro and Luca Formaggia
SIAM Journal on Scientific Computing 40 (2) A1063 (2018)
DOI: 10.1137/17M1119500
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Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media

Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou and Roland Masson
Computers & Mathematics with Applications 98 40 (2021)
DOI: 10.1016/j.camwa.2021.06.017
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Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions

Philippe Angot
ESAIM: Mathematical Modelling and Numerical Analysis 52 (5) 1875 (2018)
DOI: 10.1051/m2an/2017060
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Verification benchmarks for single-phase flow in three-dimensional fractured porous media

Inga Berre, Wietse M. Boon, Bernd Flemisch, et al.
Advances in Water Resources 147 103759 (2021)
DOI: 10.1016/j.advwatres.2020.103759
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A Crank–Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes–Darcy problem

Rui Li, Yali Gao, Wenjing Yan and Zhangxin Chen
Journal of Computational and Applied Mathematics 353 86 (2019)
DOI: 10.1016/j.cam.2018.12.025
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Numerical analysis of a two-phase flow discrete fracture matrix model

Jérôme Droniou, Julian Hennicker and Roland Masson
Numerische Mathematik 141 (1) 21 (2019)
DOI: 10.1007/s00211-018-0994-y
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Fate and transport of bromide and mononuclear aromatic hydrocarbons in aqueous solutions through Berea Sandstone

Steven P. Labrecque and William J. Blanford
Science of The Total Environment 766 141714 (2021)
DOI: 10.1016/j.scitotenv.2020.141714
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Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids

Paola F. Antonietti, Chiara Facciolà, Alessandro Russo and Marco Verani
SIAM Journal on Scientific Computing 41 (1) A109 (2019)
DOI: 10.1137/17M1138194
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A Hybrid High-Order method for passive transport in fractured porous media

Florent Chave, Daniele A. Di Pietro and Luca Formaggia
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0114-x
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Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media

Gang Wang, Yinnian He and Jinjin Yang
Journal of Scientific Computing 76 (2) 1274 (2018)
DOI: 10.1007/s10915-018-0673-2
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Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model

R. Ahmed, M.G. Edwards, S. Lamine, B.A.H. Huisman and M. Pal
Journal of Computational Physics 284 462 (2015)
DOI: 10.1016/j.jcp.2014.12.047
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High order discontinuous Galerkin method for reduced flow models in fractured porous media

Igor Mozolevski, Marcio A. Murad and Luciane A. Schuh
Mathematics and Computers in Simulation 190 1317 (2021)
DOI: 10.1016/j.matcom.2021.07.012
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Heat and Mass Transfer in Porous Media

Sabine Stichel, Dmitriy Logashenko, Alfio Grillo, et al.
Advanced Structured Materials, Heat and Mass Transfer in Porous Media 13 83 (2012)
DOI: 10.1007/978-3-642-21966-5_4
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Numerical modeling of two-phase fluid flow in deformable fractured porous media using the extended finite element method and an equivalent continuum model

A.R. Khoei, N. Hosseini and T. Mohammadnejad
Advances in Water Resources 94 510 (2016)
DOI: 10.1016/j.advwatres.2016.02.017
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A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes

Yongchao Zhang, Liquan Mei and Rui Li
Journal of Computational Physics 403 109064 (2020)
DOI: 10.1016/j.jcp.2019.109064
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Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions

Joubine Aghili, Konstantin Brenner, Julian Hennicker, Roland Masson and Laurent Trenty
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0118-6
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A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures

Markus Köppel, Vincent Martin and Jean E. Roberts
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0117-7
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Formal upscaling and numerical validation of unsaturated flow models in fractured porous media

Kundan Kumar, Florian List, Iuliu Sorin Pop and Florin Adrian Radu
Journal of Computational Physics 407 109138 (2020)
DOI: 10.1016/j.jcp.2019.109138
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A cut finite element method for elliptic bulk problems with embedded surfaces

Erik Burman, Peter Hansbo, Mats G. Larson and David Samvin
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0120-z
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Modeling the closure behavior of natural fractures in porous media using high aspect ratio interface elements

Heber A. Fabbri, Pedro R. Cleto, Aldo T. Gaiotto, et al.
Journal of Petroleum Science and Engineering 196 107979 (2021)
DOI: 10.1016/j.petrol.2020.107979
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Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media

Florian List, Kundan Kumar, Iuliu Sorin Pop and Florin Adrian Radu
SIAM Journal on Mathematical Analysis 52 (1) 239 (2020)
DOI: 10.1137/18M1203754
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Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures

Paola F. Antonietti, Chiara Facciolà and Marco Verani
Computers & Mathematics with Applications (2021)
DOI: 10.1016/j.camwa.2021.08.015
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Analysis of a mimetic finite difference approximation of flows in fractured porous media

Luca Formaggia, Anna Scotti and Federica Sottocasa
ESAIM: Mathematical Modelling and Numerical Analysis 52 (2) 595 (2018)
DOI: 10.1051/m2an/2017028
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Dual Virtual Element Methods for Discrete Fracture Matrix models

Alessio Fumagalli, Eirik Keilegavlen, A. Anciaux-Sedrakian and Q. H. Tran
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 74 41 (2019)
DOI: 10.2516/ogst/2019008
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A hybrid finite volume – finite element method for bulk–surface coupled problems

Alexey Y. Chernyshenko, Maxim A. Olshanskii and Yuri V. Vassilevski
Journal of Computational Physics 352 516 (2018)
DOI: 10.1016/j.jcp.2017.09.064
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A finite difference approximation of reduced coupled model for slightly compressible Forchheimer fractures in Karst aquifer system

Wei Liu, Jintao Cui and Zhifeng Wang
Numerical Algorithms 84 (1) 133 (2020)
DOI: 10.1007/s11075-019-00749-z
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A block-centered finite difference method for reduced fracture model in Karst aquifer system

Wei Liu and Zhengjia Sun
Computers & Mathematics with Applications 74 (6) 1455 (2017)
DOI: 10.1016/j.camwa.2017.06.028
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Sub-grid models for multiphase fluid flow inside fractures in poroelastic media

Tim Hageman and René de Borst
Journal of Computational Physics 414 109481 (2020)
DOI: 10.1016/j.jcp.2020.109481
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A New Numerical Method for an Asymptotic Coupled Model of Fractured Media Aquifer System

Wei Liu, Jintao Cui and Zhifeng Wang
Journal of Scientific Computing 82 (1) (2020)
DOI: 10.1007/s10915-019-01112-z
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Discontinuous finite volume element method for Darcy flows in fractured porous media

Rui Li, Yongchao Zhang, Jianhua Wu and Zhangxin Chen
Journal of Computational and Applied Mathematics 381 113025 (2021)
DOI: 10.1016/j.cam.2020.113025
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A dimensionally reduced Stokes–Darcy model for fluid flow in fractured porous media

Iryna Rybak and Stefan Metzger
Applied Mathematics and Computation 384 125260 (2020)
DOI: 10.1016/j.amc.2020.125260
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Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces

Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson, Antoine Pasteau and Laurent Trenty
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 1741 (2021)
DOI: 10.1051/m2an/2021036
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Flow in porous media with low dimensional fractures by employing enriched Galerkin method

T. Kadeethum, H.M. Nick, S. Lee and F. Ballarin
Advances in Water Resources 142 103620 (2020)
DOI: 10.1016/j.advwatres.2020.103620
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Error estimate in a finite volume approximation of the partial asymptotic domain decomposition

Grigory Panasenko and Marie-Claude Viallon
Mathematical Methods in the Applied Sciences 36 (14) 1892 (2013)
DOI: 10.1002/mma.2735
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Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media

Paola F. Antonietti, Jacopo De Ponti, Luca Formaggia and Anna Scotti
Journal of Scientific Computing 86 (1) (2021)
DOI: 10.1007/s10915-020-01372-0
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Dimensional reduction of a fractured medium for a polymer EOR model

Martin Dugstad, Kundan Kumar and Øystein Pettersen
Computational Geosciences 25 (5) 1753 (2021)
DOI: 10.1007/s10596-021-10075-w
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An optimization approach for flow simulations in poro-fractured media with complex geometries

Stefano Berrone, Alessandro D’Auria and Stefano Scialò
Computational Geosciences 25 (3) 897 (2021)
DOI: 10.1007/s10596-020-10029-8
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Dynamic modelling of overprinted low-permeability fault cores and surrounding damage zones as lower dimensional interfaces for multiphysics simulations

Thomas Poulet, Martin Lesueur and Ulrich Kelka
Computers & Geosciences 150 104719 (2021)
DOI: 10.1016/j.cageo.2021.104719
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A nonlinear asymptotic model for the inertial flow at a fluid-porous interface

Philippe Angot, Benoît Goyeau and J. Alberto Ochoa-Tapia
Advances in Water Resources 149 103798 (2021)
DOI: 10.1016/j.advwatres.2020.103798
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The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes

Ziyao Xu and Yang Yang
Journal of Computational Physics 415 109523 (2020)
DOI: 10.1016/j.jcp.2020.109523
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A practical model for fluid flow in discrete-fracture porous media by using the numerical manifold method

Mengsu Hu, Jonny Rutqvist and Yuan Wang
Advances in Water Resources 97 38 (2016)
DOI: 10.1016/j.advwatres.2016.09.001
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A node-centered finite volume method for a fracture model on triangulations

Shuangshuang Chen and Hongxing Rui
Applied Mathematics and Computation 327 55 (2018)
DOI: 10.1016/j.amc.2018.01.024
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