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Uncertainty quantification for mineral precipitation and dissolution in fractured porous media
Hybrid high-order methods for flow simulations in extremely large discrete fracture networks
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On the simultaneous solution of structural membranes on all level sets within a bulk domain
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements
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Finite volume element methods for a multi-dimensional fracture model
Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method
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Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains
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An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems
Layer-wise relevance propagation for backbone identification in discrete fracture networks
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A multi-layer reactive transport model for fractured porous media
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Block preconditioners for mixed-dimensional discretization of flow in fractured porous media
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Demonstration and application of NMM‐based fractured porous medium flow model
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Functional analysis and exterior calculus on mixed-dimensional geometries
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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
A robust VEM-based approach for flow simulations in poro-fractured media
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Discontinuous finite volume element method for Darcy flows in fractured porous media
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
Interface spaces based on physics for multiscale mixed methods applied to flows in fractured-like porous media
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A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites
Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
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Multiscale Finite Element Method for heat transfer problem during artificial ground freezing
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Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques
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Unified fracture network model (UFNM) for unconventional reservoirs simulation
Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media
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An unfitted finite element method for the Darcy problem in a fracture network
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
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Unified approach to discretization of flow in fractured porous media
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
Constrained energy minimization based upscaling for coupled flow and mechanics