Ensemble level multiscale finite element and preconditioner for channelized systems and applications
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Publication:2252721
DOI10.1016/j.cam.2013.06.007zbMath1291.76199OpenAlexW2048526651MaRDI QIDQ2252721
Publication date: 23 July 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2013.06.007
domain decompositionsampling processensemble level multiscale finite elementhigh-contrast elliptic problem
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
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- Generalized multiscale finite element methods (GMsFEM)
- Multiscale finite element methods for high-contrast problems using local spectral basis functions
- Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast
- The heterogeneous multiscale methods
- Accurate multiscale finite element methods for two-phase flow simulations
- Stochastic spectral methods for efficient Bayesian solution of inverse problems
- Domain decomposition methods for the numerical solution of partial differential equations
- Mortar coupling and upscaling of pore-scale models
- A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media
- Analysis of FETI methods for multiscale PDEs
- Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
- Coarse scale models of two-phase flow in heterogeneous reservoirs: Volume averaged equations and their relationship to existing upscaling techniques
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Analysis of upscaling absolute permeability
- Multiscale domain decomposition methods for elliptic problems with high aspect ratios
- Mortar upscaling for multiphase flow in porous media
- On an energy minimizing basis for algebraic multigrid methods
- Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
- Domain decomposition for multiscale PDEs
- Multiscale finite-volume method for compressible multiphase flow in porous media
- Multiscale finite element methods for nonlinear problems and their applications
- Inverse problems: A Bayesian perspective
- Coarse-Grid Multiscale Model Reduction Techniques for Flows in Heterogeneous Media and Applications
- A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems
- Reduced-Contrast Approximations for High-Contrast Multiscale Flow Problems
- Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- Adaptive Variational Multiscale Methods for Multiphase Flow in Porous Media
- Mixed Multiscale Finite Element Methods Using Limited Global Information
- Metric-based upscaling
- A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids
- Multiscale Finite Element Methods
- A special finite element method based on component mode synthesis
- A Framework for Adaptive Multiscale Methods for Elliptic Problems
- An efficient Bayesian inference approach to inverse problems based on an adaptive sparse grid collocation method
- On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- A Multiscale Mortar Mixed Finite Element Method
- Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models
- A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems
- A Multiscale Finite Element Method for Numerical Homogenization
