Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow
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Publication:5880626
DOI10.1137/21M1438475zbMath1506.76074arXiv2201.07371MaRDI QIDQ5880626
Li-Na Zhao, Shubin Fu, Eric T. Chung
Publication date: 3 March 2023
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.07371
Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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- Unnamed Item
- Generalized multiscale finite element methods (GMsFEM)
- Algebraic multiscale solver for flow in heterogeneous porous media
- A modified nonlinear Galerkin method for the viscoelastic fluid motion equations
- Multiscale finite element methods for high-contrast problems using local spectral basis functions
- A multiscale preconditioner for stochastic mortar mixed finite elements
- Adaptive multiscale model reduction with generalized multiscale finite element methods
- An adaptive GMsFEM for high-contrast flow problems
- Multiscale mixed methods for two-phase flows in high-contrast porous media
- Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
- Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media
- Accurate multiscale finite element methods for two-phase flow simulations
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- The partition of unity finite element method: basic theory and applications
- Analysis of upscaling absolute permeability
- Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
- Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations
- A local-global multiscale method for highly heterogeneous stochastic groundwater flow problems
- Multipoint flux mixed finite element methods for slightly compressible flow in porous media
- A local-global multiscale mortar mixed finite element method for multiphase transport in heterogeneous media
- Online conservative generalized multiscale finite element method for highly heterogeneous flow models
- Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model
- Adaptive algebraic multiscale solver for compressible flow in heterogeneous porous media
- Residual-driven online generalized multiscale finite element methods
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
- Localization of elliptic multiscale problems
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- THE PARTITION OF UNITY METHOD
- On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation
- Mixed finite element methods for generalized Forchheimer flow in porous media
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems
- Random Sampling and Efficient Algorithms for Multiscale PDEs
- On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques
- Mixed Generalized Multiscale Finite Element Methods and Applications
- An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
- Multiscale Hybrid-Mixed Method
- A MULTISCALE MORTAR MIXED FINITE ELEMENT METHOD FOR SLIGHTLY COMPRESSIBLE FLOWS IN POROUS MEDIA
- A Multiscale Mortar Mixed Finite Element Method
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations