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Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy

https://doi.org/10.1137/100788677
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nla.641openalex-snapshot
Energy‐minimizing coarse spaces for two‐level Schwarz methods for multiscale PDEs
inferredcites →https://doi.org/10.1002/num.20254openalex-snapshot
Robust domain decomposition algorithms for multiscale PDEs
inferredcites →https://doi.org/10.1006/jcph.1997.5682openalex-snapshot
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
inferredcites →https://doi.org/10.1007/978-1-4612-1920-0openalex-snapshot
Homogenization and Porous Media
inferredcites →https://doi.org/10.1007/978-1-4612-3172-1openalex-snapshot
Mixed and Hybrid Finite Element Methods
inferredcites →https://doi.org/10.1007/978-3-642-12294-1_52openalex-snapshot
Robust FETI Solvers for Multiscale Elliptic PDEs
inferredcites →https://doi.org/10.1007/bf01389710openalex-snapshot
Two families of mixed finite elements for second order elliptic problems
inferredcites →https://doi.org/10.1007/bf01396752openalex-snapshot
Mixed finite elements for second order elliptic problems in three variables
inferredcites →https://doi.org/10.1016/0045-7825(95)00844-9openalex-snapshot
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
inferredcites →https://doi.org/10.1016/j.cma.2006.08.019openalex-snapshot
Adaptive variational multiscale methods based on a posteriori error estimation: Energy norm estimates for elliptic problems
inferredcites →https://doi.org/10.1016/s0021-9991(03)00075-5openalex-snapshot
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
inferredcites →https://doi.org/10.1016/s0045-7825(01)00188-8openalex-snapshot
The generalized finite element method
inferredcites →https://doi.org/10.1016/s0045-7825(98)00079-6openalex-snapshot
The variational multiscale method—a paradigm for computational mechanics
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7014-6openalex-snapshot
The Finite Element Method for Elliptic Problems
inferredcites →https://doi.org/10.1017/s0962492912000025openalex-snapshot
The heterogeneous multiscale method
inferredcites →https://doi.org/10.1023/a:1016529113809openalex-snapshot
Mortar Upscaling for Multiphase Flow in Porous Media
inferredcites →https://doi.org/10.1023/a:1021295215383openalex-snapshot
Implementation of a Locally Conservative Numerical Subgrid Upscaling Scheme for Two-Phase Darcy Flow
inferredcites →https://doi.org/10.1029/2005wr003940openalex-snapshot
Multilevel upscaling through variational coarsening
inferredcites →https://doi.org/10.1051/m2an/2010007openalex-snapshot
A special finite element method based on component mode synthesis
inferredcites →https://doi.org/10.1063/1.1367868openalex-snapshot
Large eddy simulation of turbulent channel flows by the variational multiscale method
inferredcites →https://doi.org/10.1090/chel/374openalex-snapshot
Asymptotic Analysis for Periodic Structures
inferredcites →https://doi.org/10.1090/s0025-5718-02-01441-2openalex-snapshot
A mixed multiscale finite element method for elliptic problems with oscillating coefficients
inferredcites →https://doi.org/10.1090/s0025-5718-99-01077-7openalex-snapshot
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
inferredcites →https://doi.org/10.1137/030600655openalex-snapshot
On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation
inferredcites →https://doi.org/10.1137/030600795openalex-snapshot
Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
inferredcites →https://doi.org/10.1137/050631811openalex-snapshot
Subgrid Upscaling and Mixed Multiscale Finite Elements
inferredcites →https://doi.org/10.1137/050634566openalex-snapshot
A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids
inferredcites →https://doi.org/10.1137/060662587openalex-snapshot
A Multiscale Mortar Mixed Finite Element Method
inferredcites →https://doi.org/10.1137/070688481openalex-snapshot
Mixed Multiscale Finite Element Methods Using Limited Global Information
inferredcites →https://doi.org/10.1137/070693230openalex-snapshot
A Framework for Adaptive Multiscale Methods for Elliptic Problems
inferredcites →https://doi.org/10.1137/0720034openalex-snapshot
Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
inferredcites →https://doi.org/10.1137/0731051openalex-snapshot
Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
inferredcites →https://doi.org/10.1137/080724745openalex-snapshot
Adaptive Variational Multiscale Methods for Multiphase Flow in Porous Media
inferredcites →https://doi.org/10.1137/100791051openalex-snapshot
Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
inferredcites →https://doi.org/10.1137/s0036142902406636openalex-snapshot
Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
inferredcites →https://doi.org/10.1137/s0036142997330329openalex-snapshot
Convergence of a Nonconforming Multiscale Finite Element Method
inferredcites →https://doi.org/10.2118/16011-msopenalex-snapshot
Computing Absolute Transmissibility in the Presence of Fine-Scale Heterogeneity
inferredcites →https://doi.org/10.2118/66599-msopenalex-snapshot
Tenth SPE Comparative Solution Project: A Comparison of Upscaling Techniques
inferredcites →https://doi.org/10.2118/72469-paopenalex-snapshot
Tenth SPE Comparative Solution Project: A Comparison of Upscaling Techniques
inferredcites →https://doi.org/10.4310/cms.2003.v1.n1.a8openalex-snapshot
The Heterognous Multiscale Methods

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-642-22061-6_8openalex-snapshot
Mixed Multiscale Methods for Heterogeneous Elliptic Problems
inferred← citeshttps://doi.org/10.1007/s10596-013-9397-4openalex-snapshot
Grid adaptation for the Dirichlet–Neumann representation method and the multiscale mixed finite-element method
inferred← citeshttps://doi.org/10.1016/j.advwatres.2017.06.020openalex-snapshot
Multiscale mimetic method for two-phase flow in fractured media using embedded discrete fracture model
inferred← citeshttps://doi.org/10.1016/j.apnum.2019.01.011openalex-snapshot
Multiscale HDG model reduction method for flows in heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.cam.2013.03.030openalex-snapshot
Robust multilevel solvers for high-contrast anisotropic multiscale problems
inferred← citeshttps://doi.org/10.1016/j.cma.2014.09.036openalex-snapshot
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.108968openalex-snapshot
Efficient deep learning techniques for multiphase flow simulation in heterogeneous porousc media
inferred← citeshttps://doi.org/10.1016/j.jcp.2021.110134openalex-snapshot
Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications
inferred← citeshttps://doi.org/10.1090/conm/586/11648openalex-snapshot
Multiscale mortar mixed methods for heterogeneous elliptic problems
inferred← citeshttps://doi.org/10.1137/120874928openalex-snapshot
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems
inferred← citeshttps://doi.org/10.1137/13094089xopenalex-snapshot
A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces
inferred← citeshttps://doi.org/10.11606/t.55.2020.tde-14092020-180529openalex-snapshot
Enhanced multiscale mixed methods for two-phase flows in high-contrast porous media
inferred← citeshttps://doi.org/10.3934/dcdss.2016051openalex-snapshot
Multiscale mixed finite elements
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