Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Finite volume method for reduced multi-layer model of compressible Brinkman flow in high-dimensional fractured reservoirs with damage zones

Wei Liu, Zhifeng Wang and Pengshan Wang
Journal of Computational Physics 529 113850 (2025)
https://doi.org/10.1016/j.jcp.2025.113850

A Stokes–Darcy–Darcy model and its discontinuous Galerkin method on polytopic grids

Rui Li, Yali Gao, Chen-Song Zhang and Zhangxin Chen
Journal of Computational Physics 501 112780 (2024)
https://doi.org/10.1016/j.jcp.2024.112780

An online generalized multiscale approximation of the multipoint flux mixed finite element method

Zhengkang He, Jie Chen, Zhangxin Chen and Tong Zhang
Journal of Computational and Applied Mathematics 437 115498 (2024)
https://doi.org/10.1016/j.cam.2023.115498

Application of deep learning reduced-order modeling for single-phase flow in faulted porous media

Enrico Ballini, Luca Formaggia, Alessio Fumagalli, Anna Scotti and Paolo Zunino
Computational Geosciences 28 (6) 1279 (2024)
https://doi.org/10.1007/s10596-024-10320-y

A matrix solver approach for fracture flow simulation by Analytic Element Method

Sardar Muhammad Hussain, José Alberto Cuminato, Ivan Silvestre Paganini Marin and Edson Cezar Wendland
Mathematics and Computers in Simulation 218 666 (2024)
https://doi.org/10.1016/j.matcom.2023.12.014

Discrete fracture‐matrix model of poroelasticity

Jan Březina and Jan Stebel
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 104 (4) (2024)
https://doi.org/10.1002/zamm.202200469

Comparison between processing time for groundwater flow of fractured porous media via analytic element method

Asumi Rasheed, Sardar Muhammad Hussain, Hasrat Hussain Shah, Wasurat Bunpheng, Jong-Suk Ro, Imen Kebaili, Hassan Shah and Abdul Quayam Khan
Alexandria Engineering Journal 95 30 (2024)
https://doi.org/10.1016/j.aej.2024.03.057

A hybrid upwind scheme for two-phase flow in fractured porous media

Enrico Ballini, Luca Formaggia, Alessio Fumagalli, Eirik Keilegavlen and Anna Scotti
Computer Methods in Applied Mechanics and Engineering 432 117437 (2024)
https://doi.org/10.1016/j.cma.2024.117437

Flow in fracture Intersections: Deflection flow assumption reexamined

Yihang Huang, Jiazhong Qian, Yunhai Fang, Lei Ma, Haichun Ma, Yong Liu and Jianfeng Wu
Journal of Hydrology 641 131770 (2024)
https://doi.org/10.1016/j.jhydrol.2024.131770

Adaptive interior penalty hybridized discontinuous Galerkin methods for Darcy flow in fractured porous media

Haitao Leng and Huangxin Chen
IMA Journal of Numerical Analysis 44 (4) 2165 (2024)
https://doi.org/10.1093/imanum/drad054

A five field formulation for flow simulations in porous media with fractures and barriers via an optimization based domain decomposition method

Stefano Scialò
Finite Elements in Analysis and Design 238 104204 (2024)
https://doi.org/10.1016/j.finel.2024.104204

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

Jijing Zhao and Hongxing Rui
Journal of Computational Physics 499 112718 (2024)
https://doi.org/10.1016/j.jcp.2023.112718

On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions

Jan Stebel, Jakub Kružík, David Horák, Jan Březina and Michal Béreš
Computers & Structures 298 107339 (2024)
https://doi.org/10.1016/j.compstruc.2024.107339

A space-time mixed finite element method for reduced fracture flow models on nonmatching grids

Thi-Thao-Phuong Hoang and Ivan Yotov
Mathematics of Computation (2024)
https://doi.org/10.1090/mcom/4031

Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media

Jijing Zhao and Hongxing Rui
Numerical Methods for Partial Differential Equations 40 (3) (2024)
https://doi.org/10.1002/num.23080

On the simultaneous solution of structural membranes on all level sets within a bulk domain

Thomas-Peter Fries and Michael Wolfgang Kaiser
Computer Methods in Applied Mechanics and Engineering 415 116223 (2023)
https://doi.org/10.1016/j.cma.2023.116223

Hybrid high-order methods for flow simulations in extremely large discrete fracture networks

Alexandre Ern, Florent Hédin, Géraldine Pichot and Nicolas Pignet
The SMAI Journal of computational mathematics 8 375 (2023)
https://doi.org/10.5802/smai-jcm.92

Lower-Dimensional Model of the Flow and Transport Processes in Thin Domains by Numerical Averaging Technique

Maria Vasilyeva, Nana Adjoah Mbroh and Mehrube Mehrubeoglu
Fluids 9 (1) 4 (2023)
https://doi.org/10.3390/fluids9010004

A posteriori error estimates for hierarchical mixed-dimensional elliptic equations

Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen, Jan M. Nordbotten and Florin A. Radu
Journal of Numerical Mathematics 31 (4) 247 (2023)
https://doi.org/10.1515/jnma-2022-0038

Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model

Jijing Zhao and Hongxing Rui
Journal of Computational and Applied Mathematics 418 114732 (2023)
https://doi.org/10.1016/j.cam.2022.114732

Modeling of Artificial Ground Freezing Using a Meshfree Multiscale Method

D. Y. Nikiforov and S. P. Stepanov
Lobachevskii Journal of Mathematics 44 (3) 1206 (2023)
https://doi.org/10.1134/S1995080223030241

Flow in Porous Media with Fractures of Varying Aperture

Samuel Burbulla, Maximilian Hörl and Christian Rohde
SIAM Journal on Scientific Computing 45 (4) A1519 (2023)
https://doi.org/10.1137/22M1510406

Uncertainty quantification for mineral precipitation and dissolution in fractured porous media

Michele Botti, Alessio Fumagalli and Anna Scotti
GEM - International Journal on Geomathematics 14 (1) (2023)
https://doi.org/10.1007/s13137-023-00231-y

Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements

Murilo Camargo, Pedro R. Cleto, Michael A. Maedo, et al.
Journal of Petroleum Science and Engineering 208 109700 (2022)
https://doi.org/10.1016/j.petrol.2021.109700

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 116 116 (2022)
https://doi.org/10.1016/j.camwa.2021.08.015

Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method

Maryam Atta, Sardar Muhammad Hussain, Farooq Hussain, Hasrat Hussain Shah, Hassan Shah and Jong-Suk Ro
Fractal and Fractional 6 (10) 573 (2022)
https://doi.org/10.3390/fractalfract6100573

Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains

Denis Spiridonov, Maria Vasilyeva, Min Wang and Eric T. Chung
Journal of Computational and Applied Mathematics 416 114577 (2022)
https://doi.org/10.1016/j.cam.2022.114577

Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies

Alessio Fumagalli and Francesco Saverio Patacchini
ESAIM: Mathematical Modelling and Numerical Analysis 56 (2) 565 (2022)
https://doi.org/10.1051/m2an/2022016

A Novel Equi-Dimensional Finite Element Method For Flow and Transport in Fractured Porous Media Satisfying Discrete Maximum Principle

Marco Favino and Maria Giuseppina Chiara Nestola
SSRN Electronic Journal (2022)
https://doi.org/10.2139/ssrn.4166563

A Two-Grid Decoupled Algorithm for a Multi-Dimensional Darcy–Brinkman Fracture Model

Shuangshuang Chen, Qiumei Huang and Fei Xu
Journal of Scientific Computing 90 (3) (2022)
https://doi.org/10.1007/s10915-021-01738-y

An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems

M.F. Benedetto, A. Borio, F. Kyburg, J. Mollica and S. Scialò
Computer Methods in Applied Mechanics and Engineering 391 114204 (2022)
https://doi.org/10.1016/j.cma.2021.114204

An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems

Xiaoxiao He and Weibing Deng
Applied Numerical Mathematics 173 434 (2022)
https://doi.org/10.1016/j.apnum.2021.12.011

Finite volume element methods for a multi-dimensional fracture model

Shuangshuang Chen and Xiaoli Li
Journal of Computational and Applied Mathematics 406 114028 (2022)
https://doi.org/10.1016/j.cam.2021.114028

Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone

V. I. Vasil’ev, M. V. Vasil’eva, D. Ya. Nikiforov, et al.
Computational Mathematics and Mathematical Physics 61 (12) 2054 (2021)
https://doi.org/10.1134/S0965542521120162

Modeling and discretization of flow in porous media with thin, full‐tensor permeability inclusions

Michele Starnoni, Inga Berre, Eirik Keilegavlen and Jan Martin Nordbotten
International Journal for Numerical Methods in Engineering 122 (17) 4730 (2021)
https://doi.org/10.1002/nme.6744

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)
https://doi.org/10.1007/s10596-020-10029-8

Functional analysis and exterior calculus on mixed-dimensional geometries

Wietse M. Boon, Jan M. Nordbotten and Jon E. Vatne
Annali di Matematica Pura ed Applicata (1923 -) 200 (2) 757 (2021)
https://doi.org/10.1007/s10231-020-01013-1

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 25 (1) 143 (2021)
https://doi.org/10.1007/s10596-020-09996-9

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)
https://doi.org/10.1007/s10915-020-01372-0

A multi-layer reactive transport model for fractured porous media

Luca Formaggia, Alessio Fumagalli and Anna Scotti
Mathematics in Engineering 4 (1) 1 (2021)
https://doi.org/10.3934/mine.2022008

Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries

Maria Vasilyeva, Valentin Alekseev, Eric T. Chung and Yalchin Efendiev
Journal of Computational Physics 442 110512 (2021)
https://doi.org/10.1016/j.jcp.2021.110512

Polyhedral Methods in Geosciences

Paola F. Antonietti, Chiara Facciolà, Paul Houston, et al.
SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 159 (2021)
https://doi.org/10.1007/978-3-030-69363-3_5

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)
https://doi.org/10.1016/j.cam.2020.113025

A mathematical model for thermal single-phase flow and reactive transport in fractured porous media

Alessio Fumagalli and Anna Scotti
Journal of Computational Physics 434 110205 (2021)
https://doi.org/10.1016/j.jcp.2021.110205

Generalized multiscale approximation of a mixed finite element method with velocity elimination for Darcy flow in fractured porous media

Zhengkang He, Huangxin Chen, Jie Chen and Zhangxin Chen
Computer Methods in Applied Mechanics and Engineering 381 113846 (2021)
https://doi.org/10.1016/j.cma.2021.113846

Layer-wise relevance propagation for backbone identification in discrete fracture networks

Stefano Berrone, Francesco Della Santa, Antonio Mastropietro, Sandra Pieraccini and Francesco Vaccarino
Journal of Computational Science 55 101458 (2021)
https://doi.org/10.1016/j.jocs.2021.101458

A robust VEM-based approach for flow simulations in poro-fractured media

Stefano Berrone, Andrea Borio, Alessandro D’Auria, Stefano Scialò and Fabio Vicini
Mathematical Models and Methods in Applied Sciences 31 (14) 2855 (2021)
https://doi.org/10.1142/S0218202521500639

Interface spaces based on physics for multiscale mixed methods applied to flows in fractured-like porous media

Franciane F. Rocha, Fabricio S. Sousa, Roberto F. Ausas, Felipe Pereira and Gustavo C. Buscaglia
Computer Methods in Applied Mechanics and Engineering 385 114035 (2021)
https://doi.org/10.1016/j.cma.2021.114035

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)
https://doi.org/10.1002/nag.3154

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)
https://doi.org/10.1186/s40323-020-00154-5

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)
https://doi.org/10.1016/j.cam.2019.112594

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)
https://doi.org/10.1016/j.cam.2019.112424

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Alessio Fumagalli and Anna Scotti
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 55 (2020)
https://doi.org/10.1007/978-3-030-43651-3_4

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)
https://doi.org/10.1137/18M1206461

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)
https://doi.org/10.1137/18M1203754

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)
https://doi.org/10.1016/j.amc.2020.125260

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)
https://doi.org/10.1007/s10596-020-09954-5

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)
https://doi.org/10.1016/j.amc.2020.125160

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)
https://doi.org/10.1016/j.cam.2020.112783

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)
https://doi.org/10.1016/j.jcp.2019.109138

Bayesian inversion for steady flow in fractured porous media with contact on fractures and hydro-mechanical coupling

R. Blaheta, M. Béreš, S. Domesová and D. Horák
Computational Geosciences 24 (5) 1911 (2020)
https://doi.org/10.1007/s10596-020-09935-8

Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques

Maria Vasilyeva, Wing T. Leung, Eric T. Chung, Yalchin Efendiev and Mary Wheeler
Journal of Computational Physics 412 109323 (2020)
https://doi.org/10.1016/j.jcp.2020.109323

Multiscale Finite Element Method for heat transfer problem during artificial ground freezing

Maria Vasilyeva, Sergei Stepanov, Denis Spiridonov and Vasiliy Vasil’ev
Journal of Computational and Applied Mathematics 371 112605 (2020)
https://doi.org/10.1016/j.cam.2019.112605

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)
https://doi.org/10.1016/j.apm.2018.10.025

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)
https://doi.org/10.1016/j.jcp.2018.09.048

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)
https://doi.org/10.2516/ogst/2019008

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)
https://doi.org/10.1016/j.cma.2018.09.003

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)
https://doi.org/10.1137/18M1224751

Unified approach to discretization of flow in fractured porous media

J. M. Nordbotten, W. M. Boon, A. Fumagalli and E. Keilegavlen
Computational Geosciences 23 (2) 225 (2019)
https://doi.org/10.1007/s10596-018-9778-9

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)
https://doi.org/10.1007/s10596-018-9792-y

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)
https://doi.org/10.1016/j.jcp.2018.09.054

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)
https://doi.org/10.1007/s13137-019-0136-4

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)
https://doi.org/10.1007/s10596-019-9817-1

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)
https://doi.org/10.2118/194012-PA

A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures

F. Hecht, Z. Mghazli, I. Naji and J. E. Roberts
Journal of Scientific Computing 79 (2) 935 (2019)
https://doi.org/10.1007/s10915-018-0875-7

Embedded fracture model in numerical simulation of the fluid flow and geo-mechanics using Generalized Multiscale Finite Element Method

Aleksei Tyrylgin, Maria Vasilyeva and Eric T. Chung
Journal of Physics: Conference Series 1392 (1) 012075 (2019)
https://doi.org/10.1088/1742-6596/1392/1/012075

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)
https://doi.org/10.1016/j.cma.2018.12.041

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)
https://doi.org/10.1016/j.cma.2019.05.034

Partitioning Dynamics of Gravity‐Driven Unsaturated Flow Through Simple T‐Shaped Fracture Intersections

Zhibing Yang, Song Xue, Xiaokang Zheng and Yi‐Feng Chen
Water Resources Research 55 (8) 7130 (2019)
https://doi.org/10.1029/2018WR024349

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)
https://doi.org/10.1016/j.camwa.2019.04.031

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)
https://doi.org/10.1007/s13137-019-0120-z

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)
https://doi.org/10.1016/j.cam.2019.01.024

Domain Decomposition Methods in Science and Engineering XXIV

J. M. Nordbotten and W. M. Boon
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 87 (2018)
https://doi.org/10.1007/978-3-319-93873-8_7

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)
https://doi.org/10.1051/m2an/2017028