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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Cubic-Spline Multiscale Finite Element Method for Solving Nodal Darcian Velocities in Porous Media

Yifan Xie, Jichun Wu and Chunhong Xie
Journal of Hydrologic Engineering 20 (11) 04015030 (2015)
DOI: 10.1061/(ASCE)HE.1943-5584.0001222
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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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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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Block preconditioners for mixed-dimensional discretization of flow in fractured porous media

Ana Budiša and Xiaozhe Hu
Computational Geosciences 25 (2) 671 (2021)
DOI: 10.1007/s10596-020-09984-z
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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 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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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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Isogeometric analysis of fluid-saturated porous media including flow in the cracks

J. Vignollet, S. May and R. de Borst
International Journal for Numerical Methods in Engineering 108 (9) 990 (2016)
DOI: 10.1002/nme.5242
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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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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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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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On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method

Stefano Berrone, Sandra Pieraccini and Stefano Scialò
SIAM Journal on Scientific Computing 35 (2) A908 (2013)
DOI: 10.1137/120882883
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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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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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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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Adaptive mixed finite element methods for Darcy flow in fractured porous media

Huangxin Chen, Amgad Salama and Shuyu Sun
Water Resources Research 52 (10) 7851 (2016)
DOI: 10.1002/2015WR018450
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A domain decomposed finite element method for solving Darcian velocity in heterogeneous porous media

Yifan Xie, Jichun Wu, Yuqun Xue, Chunhong Xie and Haifeng Ji
Journal of Hydrology 554 32 (2017)
DOI: 10.1016/j.jhydrol.2017.08.040
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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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An Enriched Approach for Modeling Multiscale Discrete-Fracture/Matrix Interaction for Unconventional-Reservoir Simulations

Yang Xia, Yan Jin, Mian Chen and Kang Ping Chen
SPE Journal 24 (01) 349 (2019)
DOI: 10.2118/194012-PA
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An unfitted interface penalty method for the numerical approximation of contrast problems

Paolo Zunino, Laura Cattaneo and Claudia Maria Colciago
Applied Numerical Mathematics 61 (10) 1059 (2011)
DOI: 10.1016/j.apnum.2011.06.005
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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 numerical method for analyzing fault slip tendency under fluid injection with XFEM

Daqing Liu
Acta Geotechnica 15 (2) 325 (2020)
DOI: 10.1007/s11440-019-00814-w
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3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers

Philipp Schädle, Patrick Zulian, Daniel Vogler, et al.
Computers & Geosciences 132 42 (2019)
DOI: 10.1016/j.cageo.2019.06.014
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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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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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A Machine-Learning based generalization for an iterative Hybrid Embedded Fracture scheme

Sahar Z. Amir, Shuyu Sun and Mary F. Wheeler
Journal of Petroleum Science and Engineering 194 107235 (2020)
DOI: 10.1016/j.petrol.2020.107235
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A numerical framework for two-phase flow of CO2 injection into fractured water-saturated reservoirs

Raheel Ahmed and Jun Li
Advances in Water Resources 130 283 (2019)
DOI: 10.1016/j.advwatres.2019.06.008
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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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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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Computational Methods for Fracture in Porous Media

René de Borst
Computational Methods for Fracture in Porous Media 13 (2018)
DOI: 10.1016/B978-0-08-100917-8.00002-2
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Multi-scale modelling of gas transport and production evaluation in shale reservoir considering crisscrossing fractures

Marembo Micheal, WenLong Xu, HengYu Xu, JiaNing Zhang, HongJie Jin, Hao Yu and HengAn Wu
Journal of Natural Gas Science and Engineering 95 104156 (2021)
DOI: 10.1016/j.jngse.2021.104156
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Upscaling of the single-phase flow and heat transport in fractured geothermal reservoirs using nonlocal multicontinuum method

Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Valentin Alekseev
Computational Geosciences 23 (4) 745 (2019)
DOI: 10.1007/s10596-019-9817-1
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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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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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Extensions of a coarse–fine mesh stabilized Schwarz alternating iteration domain decomposition method

Owe Axelsson
Journal of Computational and Applied Mathematics 364 112341 (2020)
DOI: 10.1016/j.cam.2019.112341
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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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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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Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models

Maria Vasilyeva, Eric T. Chung, Wing Tat Leung and Valentin Alekseev
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0136-4
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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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Fracture-Cross-Flow Equilibrium in Compositional Two-Phase Reservoir Simulation

Ali Zidane and Abbas Firoozabadi
SPE Journal (2016)
DOI: 10.2118/184402-PA
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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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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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Mixed Virtual Elements for discrete fracture network simulations

Matías Fernando Benedetto, Andrea Borio and Stefano Scialò
Finite Elements in Analysis and Design 134 55 (2017)
DOI: 10.1016/j.finel.2017.05.011
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A High-Order Numerical Manifold Method for Darcy Flow in Heterogeneous Porous Media

Lingfeng Zhou, Yuan Wang and Di Feng
Processes 6 (8) 111 (2018)
DOI: 10.3390/pr6080111
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Extended finite element method in mixed-hybrid model of singular groundwater flow

Jan Březina and Pavel Exner
Mathematics and Computers in Simulation 189 207 (2021)
DOI: 10.1016/j.matcom.2020.12.018
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Developments in Petroleum Science

Kamy Sepehrnoori, Yifei Xu and Wei Yu
Developments in Petroleum Science 68 31 (2020)
DOI: 10.1016/B978-0-12-821872-3.00003-4
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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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Comparison of the response to geometrical complexity of methods for unstationary simulations in discrete fracture networks with conforming, polygonal, and non-matching grids

Andrea Borio, Alessio Fumagalli and Stefano Scialò
Computational Geosciences (2020)
DOI: 10.1007/s10596-020-09996-9
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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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A Lagrange multiplier method for a discrete fracture model for flow in porous media

Markus Köppel, Vincent Martin, Jérôme Jaffré and Jean E. Roberts
Computational Geosciences 23 (2) 239 (2019)
DOI: 10.1007/s10596-018-9779-8
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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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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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Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems

Ceren Gürkan, Simon Sticko and André Massing
SIAM Journal on Scientific Computing 42 (5) A2620 (2020)
DOI: 10.1137/18M1206461
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Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications

Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Denis Spiridonov
Applied Mathematical Modelling 67 159 (2019)
DOI: 10.1016/j.apm.2018.10.025
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A Barycentric Interpolation Collocation Method for Darcy Flow in Two-Dimension

Zhao Qing Wang, Bing Tao Tang and Wei Zheng
Applied Mechanics and Materials 684 3 (2014)
DOI: 10.4028/www.scientific.net/AMM.684.3
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Constrained energy minimization based upscaling for coupled flow and mechanics

Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev and Jihoon Kim
Journal of Computational Physics 376 660 (2019)
DOI: 10.1016/j.jcp.2018.09.054
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Dual Virtual Element Method for Discrete Fractures Networks

Alessio Fumagalli and Eirik Keilegavlen
SIAM Journal on Scientific Computing 40 (1) B228 (2018)
DOI: 10.1137/16M1098231
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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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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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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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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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Uncertainty Quantification in Discrete Fracture Network Models: Stochastic Geometry

Stefano Berrone, Claudio Canuto, Sandra Pieraccini and Stefano Scialò
Water Resources Research 54 (2) 1338 (2018)
DOI: 10.1002/2017WR021163
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Numerical Mathematics and Advanced Applications ENUMATH 2017

Eirik Keilegavlen, Alessio Fumagalli, Runar Berge and Ivar Stefansson
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 573 (2019)
DOI: 10.1007/978-3-319-96415-7_52
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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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A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems

Ceren Gürkan and André Massing
Computer Methods in Applied Mechanics and Engineering 348 466 (2019)
DOI: 10.1016/j.cma.2018.12.041
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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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Combination of Multiscale Finite-Element Method and Yeh’s Finite-Element Model for Solving Nodal Darcian Velocities and Fluxes in Porous Media

Yifan Xie, Jichun Wu, Yuqun Xue and Chunhong Xie
Journal of Hydrologic Engineering 21 (12) 04016048 (2016)
DOI: 10.1061/(ASCE)HE.1943-5584.0001456
See this article

Benchmarks for single-phase flow in fractured porous media

Bernd Flemisch, Inga Berre, Wietse Boon, et al.
Advances in Water Resources 111 239 (2018)
DOI: 10.1016/j.advwatres.2017.10.036
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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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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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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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Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media

Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung, Yating Wang and Georgy Prokopev
Journal of Computational and Applied Mathematics 355 258 (2019)
DOI: 10.1016/j.cam.2019.01.024
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A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model

Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov and Paolo Zunino
Numerische Mathematik 140 (2) 513 (2018)
DOI: 10.1007/s00211-018-0967-1
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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 Two-Phase Flow Simulation of Discrete-Fractured Media using Mimetic Finite Difference Method

Zhaoqin Huang, Xia Yan and Jun Yao
Communications in Computational Physics 16 (3) 799 (2014)
DOI: 10.4208/cicp.050413.170314a
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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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Demonstration and application of NMM‐based fractured porous medium flow model

Qi‐Hua Zhang, Shao‐Zhong Lin, Hai‐Dong Su and Gen‐Hua Shi
International Journal for Numerical and Analytical Methods in Geomechanics 45 (1) 132 (2021)
DOI: 10.1002/nag.3154
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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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CVD-MPFA full pressure support, coupled unstructured discrete fracture–matrix Darcy-flux approximations

Raheel Ahmed, Michael G. Edwards, Sadok Lamine, Bastiaan A.H. Huisman and Mayur Pal
Journal of Computational Physics 349 265 (2017)
DOI: 10.1016/j.jcp.2017.07.041
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An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models

Na Zhang and Ahmad S. Abushaikha
Journal of Computational Physics 446 110665 (2021)
DOI: 10.1016/j.jcp.2021.110665
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Generalized Multiscale Finite Element method for multicontinua unsaturated flow problems in fractured porous media

Denis Spiridonov, Maria Vasilyeva and Eric T. Chung
Journal of Computational and Applied Mathematics 370 112594 (2020)
DOI: 10.1016/j.cam.2019.112594
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Finite volume discretization for poroelastic media with fractures modeled by contact mechanics

Runar L. Berge, Inga Berre, Eirik Keilegavlen, Jan M. Nordbotten and Barbara Wohlmuth
International Journal for Numerical Methods in Engineering 121 (4) 644 (2020)
DOI: 10.1002/nme.6238
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Dual virtual element method in presence of an inclusion

Alessio Fumagalli
Applied Mathematics Letters 86 22 (2018)
DOI: 10.1016/j.aml.2018.06.004
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ACMSM25

B. Vafajou, D. Dias-Da-Costa, L. A. G. Bitencourt and O. L. Manzoli
Lecture Notes in Civil Engineering, ACMSM25 37 361 (2020)
DOI: 10.1007/978-981-13-7603-0_36
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Three dimensional simulation of the dynamics of electro active polymers using shell elements

Andrea Villa, Luca Barbieri and Roberto Malgesini
Applied Mathematics and Computation 377 125160 (2020)
DOI: 10.1016/j.amc.2020.125160
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Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media

Aleksei Tyrylgin, Maria Vasilyeva, Denis Spiridonov and Eric T. Chung
Journal of Computational and Applied Mathematics 374 112783 (2020)
DOI: 10.1016/j.cam.2020.112783
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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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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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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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A phase field based discrete fracture model (PFDFM) for fluid flow in fractured porous media

Qingdong Zeng, Wenzheng Liu, Jun Yao and Jianlin Liu
Journal of Petroleum Science and Engineering 191 107191 (2020)
DOI: 10.1016/j.petrol.2020.107191
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Multiscale model reduction for shale gas transport in poroelastic fractured media

I. Yucel Akkutlu, Yalchin Efendiev, Maria Vasilyeva and Yuhe Wang
Journal of Computational Physics 353 356 (2018)
DOI: 10.1016/j.jcp.2017.10.023
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Flow and transport in fractured poroelastic media

Ilona Ambartsumyan, Eldar Khattatov, Truong Nguyen and Ivan Yotov
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0119-5
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Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations

Alessio Fumagalli, Eirik Keilegavlen and Stefano Scialò
Journal of Computational Physics 376 694 (2019)
DOI: 10.1016/j.jcp.2018.09.048
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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 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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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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Alessio Fumagalli and Anna Scotti
323 55 (2020)
DOI: 10.1007/978-3-030-43651-3_4
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Discontinuous and continuous Galerkin methods for compressible single-phase and two-phase flow in fractured porous media

Tianran Ma, Keni Zhang, Weijun Shen, Chaobin Guo and Hao Xu
Advances in Water Resources 156 104039 (2021)
DOI: 10.1016/j.advwatres.2021.104039
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Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models

Elyes Ahmed, Alessio Fumagalli, Ana Budiša, et al.
SIAM Journal on Numerical Analysis 59 (1) 583 (2021)
DOI: 10.1137/19M1268392
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Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model

Raheel Ahmed, Michael G. Edwards, Sadok Lamine, Bastiaan A.H. Huisman and Mayur Pal
Journal of Computational Physics 303 470 (2015)
DOI: 10.1016/j.jcp.2015.10.001
See this article

A PDE-based partial discharge simulator

Andrea Villa, Luca Barbieri, Marco Gondola, Andres R. Leon-Garzon and Roberto Malgesini
Journal of Computational Physics 345 687 (2017)
DOI: 10.1016/j.jcp.2017.05.045
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A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites

P. Kerfriden, S. Claus and I. Mihai
Advanced Modeling and Simulation in Engineering Sciences 7 (1) (2020)
DOI: 10.1186/s40323-020-00154-5
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Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques

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