Uncertainty quantification of two-phase flow problems via measure theory and the generalized multiscale finite element method

DOI10.1007/s10596-016-9603-2zbMath1387.76059OpenAlexW2585613113MaRDI QIDQ1702359

Michael Presho, Clint N. Dawson, Steven Mattis

Publication date: 28 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10596-016-9603-2

zbMATH Keywords

measure theorygeneralized multiscale finite element methodtwo-phasehigh-contraststochastic inverse problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Three or more component flows (76T30)

Related Items (2)

A conservative generalized multiscale finite volume/element method for modeling two-phase flow with capillary pressure ⋮ Inverse modeling of tracer flow via a mass conservative generalized multiscale finite volume/element method and stochastic collocation

Cites Work

• Unnamed Item
• Generalized multiscale finite element methods (GMsFEM)
• A Multilevel Multiscale Finite-Volume Method
• Application of the two-stage Markov chain Monte Carlo method for characterization of fractured reservoirs using a surrogate flow model
• Multiscale finite element methods for high-contrast problems using local spectral basis functions
• Higher-order finite volume methods for elliptic boundary value problems
• Quantifying uncertainty in material damage from vibrational data
• A mass conservative generalized multiscale finite element method applied to two-phase flow in heterogeneous porous media
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Application of a conservative, generalized multiscale finite element method to flow models
• Local-global model reduction of parameter-dependent, single-phase flow models via balanced truncation
• Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
• A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis
• Coarse-Grid Multiscale Model Reduction Techniques for Flows in Heterogeneous Media and Applications
• Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast
• A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest
• Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
• A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
• Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
• A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis
• Numerical solution of saddle point problems
• Multiscale Finite Element Methods
• An Operator Formulation of the Multiscale Finite-Volume Method with Correction Function
• Finite Volume Methods for Elliptic PDE's: A New Approach
• On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems
• Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
• A Systematic Coarse-Scale Model Reduction Technique for Parameter-Dependent Flows in Highly Heterogeneous Media and Its Applications
• Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations
• Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems

This page was built for publication: Uncertainty quantification of two-phase flow problems via measure theory and the generalized multiscale finite element method