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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) https://doi.org/10.2516/ogst/2019008
A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures
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
A cut finite element method for elliptic bulk problems with embedded surfaces
Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions
Tobias Köppl, Ettore Vidotto, Barbara Wohlmuth and Paolo Zunino Mathematical Models and Methods in Applied Sciences 28(05) 953 (2018) https://doi.org/10.1142/S0218202518500252
Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
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
Benchmarks for single-phase flow in fractured porous media
Bernd Flemisch, Inga Berre, Wietse Boon, Alessio Fumagalli, Nicolas Schwenck, Anna Scotti, Ivar Stefansson and Alexandru Tatomir Advances in Water Resources 111 239 (2018) https://doi.org/10.1016/j.advwatres.2017.10.036
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) https://doi.org/10.1137/17M1139102
On the numerical simulation of crack interaction in hydraulic fracturing
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
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
Geometrically Unfitted Finite Element Methods and Applications
André Massing Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 259 (2017) https://doi.org/10.1007/978-3-319-71431-8_8
Mixed Virtual Elements for discrete fracture network simulations
Non-stationary transport phenomena in networks of fractures: Effective simulations and stochastic analysis
Stefano Berrone, Sandra Pieraccini and Stefano Scialò Computer Methods in Applied Mechanics and Engineering 315 1098 (2017) https://doi.org/10.1016/j.cma.2016.12.006
Impact of eliminating fracture intersection nodes in multiphase compositional flow simulation
Kenneth M. Walton, Andre J. A. Unger, Marios A. Ioannidis and Beth L. Parker Water Resources Research 53(4) 2917 (2017) https://doi.org/10.1002/2016WR020088
Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM
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) https://doi.org/10.1051/m2an/2014034
A Parallel Solver for Large Scale DFN Flow Simulations
Stefano Berrone, Sandra Pieraccini, Stefano Scialò and Fabio Vicini SIAM Journal on Scientific Computing 37(3) C285 (2015) https://doi.org/10.1137/140984014
Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side
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) https://doi.org/10.2516/ogst/2013192