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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
Staggered DG Method with Small Edges for Darcy Flows in Fractured Porous Media
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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
Block preconditioners for mixed-dimensional discretization of flow in fractured porous media
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
Extended finite element method in mixed-hybrid model of singular groundwater flow
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
Comparison of the response to geometrical complexity of methods for unstationary simulations in discrete fracture networks with conforming, polygonal, and non-matching grids
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
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 numerical method for analyzing fault slip tendency under fluid injection with XFEM
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
A Machine-Learning based generalization for an iterative Hybrid Embedded Fracture scheme
Dual Virtual Element Methods for Discrete Fracture Matrix models
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An Enriched Approach for Modeling Multiscale Discrete-Fracture/Matrix Interaction for Unconventional-Reservoir Simulations
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
A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media
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Numerical Mathematics and Advanced Applications ENUMATH 2017
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A numerical framework for two-phase flow of CO2 injection into fractured water-saturated reservoirs
Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
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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