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A mixed‐dimensional model for direct current simulations in the presence of a thin high‐resistivity liner
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Patrick Zulian, Philipp Schädle, Liudmila Karagyaur and Maria G.C. Nestola Journal of Computational Physics 449 110773 (2022) https://doi.org/10.1016/j.jcp.2021.110773
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow
An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
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Thermal-Mechanical Coupling Model Based on the Hybrid Finite Element Method for Solving Bipolar the Plate Deformation of Hydrogen Fuel Cells
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements
Murilo Camargo, Pedro R. Cleto, Michael A. Maedo, Eduardo A. Rodrigues, Luís A.G. Bitencourt and Osvaldo L. Manzoli Journal of Petroleum Science and Engineering 208 109700 (2022) https://doi.org/10.1016/j.petrol.2021.109700
Development and application of three-dimensional discrete fracture network modeling approach for fluid flow in fractured rock masses
Comparison of the response to geometrical complexity of methods for unstationary simulations in discrete fracture networks with conforming, polygonal, and non-matching grids
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) https://doi.org/10.1137/19M1268392
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
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
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
Numerical upscaling for heterogeneous materials in fractured domains
Fredrik Hellman, Axel Målqvist and Siyang Wang ESAIM: Mathematical Modelling and Numerical Analysis 55 S761 (2021) https://doi.org/10.1051/m2an/2020061
Discontinuous and continuous Galerkin methods for compressible single-phase and two-phase flow in fractured porous media
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, Eduardo A. Rodrigues, Michael A. Maedo and Osvaldo L. Manzoli Journal of Petroleum Science and Engineering 196 107979 (2021) https://doi.org/10.1016/j.petrol.2020.107979
Block preconditioners for mixed-dimensional discretization of flow in fractured porous media
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
A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites
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
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) https://doi.org/10.1002/nme.6238
Extensions of a coarse–fine mesh stabilized Schwarz alternating iteration domain decomposition method
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
Flow and transport in fractured poroelastic media
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Numerical Mathematics and Advanced Applications ENUMATH 2017
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A simple finite element method for elliptic bulk problems with embedded surfaces
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) https://doi.org/10.1137/17M1138194
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
Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media
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
Geometric multigrid methods for Darcy–Forchheimer flow in fractured porous media
3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers
Philipp Schädle, Patrick Zulian, Daniel Vogler, Sthavishtha R. Bhopalam, Maria G.C. Nestola, Anozie Ebigbo, Rolf Krause and Martin O. Saar Computers & Geosciences 132 42 (2019) https://doi.org/10.1016/j.cageo.2019.06.014
A numerical framework for two-phase flow of CO2 injection into fractured water-saturated reservoirs