Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations

DOI10.1007/s10596-013-9358-yzbMath1393.76063OpenAlexW2052848505MaRDI QIDQ1663454

C. Kronsbein, Yalchin R. Efendiev, O. P. Iliev

Publication date: 21 August 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-33197

zbMATH Keywords

stochastic partial differential equationstwo-phase flowporous mediamultiscale methodsmultilevel Monte Carlo

Mathematics Subject Classification ID

Monte Carlo methods (65C05) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (3)

Solver-based vs. grid-based multilevel Monte Carlo for two phase flow and transport in random heterogeneous porous media ⋮ Renormalization Based MLMC Method for Scalar Elliptic SPDE ⋮ Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo

Uses Software

• MRST

Cites Work

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• Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
• Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
• Open-source MATLAB implementation of consistent discretisations on complex grids
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Mixed Multiscale Finite Element Methods Using Limited Global Information
• Multilevel Monte Carlo Path Simulation
• Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows
• Metric-based upscaling
• A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids
• Multiscale Finite Element Methods
• 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 Systematic Coarse-Scale Model Reduction Technique for Parameter-Dependent Flows in Highly Heterogeneous Media and Its Applications
• An Introduction to the Numerics of Flow in Porous Media using Matlab
• Reduced-basis output bound methods for parabolic problems

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