Results 31 to 40 of about 459 (70)
Mathematics, 2023 In this work, we consider a polymer flooding process in heterogeneous media. A system of equations for pressure, water saturation, and polymer concentration describes a mathematical model.
Maria Vasilyeva, Denis Spiridonov
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Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
Mathematics, 2020 In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang +3 more
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Contrast-Independent Partially Explicit Time Discretizations for Quasi Gas Dynamics
Mathematics, 2022 In the paper, we study a design and stability of contrast-independent partially explicit time discretizations for Quasi-Gas-Dynamics (QGD) Equations in multiscale high-contrast media.
Boris Chetverushkin +2 more
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Adaptive Mixed GMsFEM for Flows in Heterogeneous Media [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2016 AbstractIn this paper, we present two adaptive methods for the basis enrichment of the mixed Generalized Multiscale Finite Element Method (GMsFEM) for solving the flow problem in heterogeneous media. We develop an a-posteriori error indicator which depends on the norm of a local residual operator.
Chan, Ho Yuen +2 more
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Fluids, 2021 In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media.
Aleksei Tyrylgin +4 more
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Online Adaptive Basis Enrichment for Mixed CEM-GMsFEM [PDF]
Multiscale Modeling & Simulation, 2019 In this research, an online basis enrichment strategy for the constraint energy minimizing generalized multiscale finite element method in mixed formulation is proposed. The online approach is based on the technique of oversampling. One makes use of the information of residual and the data in the partial differential equation such as the source ...
Chung, Eric T., Pun, Sai-Mang
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Computation, 2020 In this paper, we consider a coupled system of equations that describes simplified magnetohydrodynamics (MHD) problem in perforated domains. We construct a fine grid that resolves the perforations on the grid level in order to use a traditional ...
Valentin Alekseev +4 more
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Mathematics, 2020 In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov +4 more
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Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods [PDF]
, 2016 In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not
Chung, Eric +2 more
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Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems [PDF]
, 2014 In this paper we propose a general framework for the uncertainty quantification of quantities of interest for high-contrast single-phase flow problems.
Efendiev, Yalchin +3 more
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