A stochastic multiscale framework for modeling flow through random heterogeneous porous media
type: Item
instance of: scholarly article
title: A stochastic multiscale framework for modeling flow through random heterogeneous porous media
zbMATH Open document ID: 1409.76139
author: Baskar Ganapathysubramanian
author: Nicholas Zabaras
published in: Journal of Computational Physics
publication date: 2009-04-03T00:00:00Z
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M35
Mathematics Subject Classification ID: 65C30
zbMATH DE Number: 5539905
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: collocation methods
zbMATH Keywords: sparse grids
zbMATH Keywords: scalable algorithms
zbMATH Keywords: non-linear model reduction
zbMATH Keywords: manifold learning
zbMATH Keywords: variational multiscale methods
zbMATH Keywords: mixed finite elements
zbMATH Keywords: data-driven modeling
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.10.006
OpenAlex ID: W2010844650
cites work: Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow
cites work: Q4792224
cites work: Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
cites work: The variational multiscale method -- a paradigm for computational mechanics
cites work: The heterogeneous multiscale methods
cites work: Analysis of the heterogeneous multiscale method for elliptic homogenization problems
cites work: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
cites work: MULTISCALE NUMERICAL METHODS FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS
cites work: Accurate multiscale finite element methods for two-phase flow simulations
cites work: GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE
cites work: Capturing Small Scales in Elliptic Problems Using a Residual-Free Bubbles Finite Element Method
cites work: Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs
cites work: Q4232766
cites work: Probabilistic characterization of transport in heterogeneous media
cites work: Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
cites work: Modeling uncertainty in flow simulations via generalized polynomial chaos.
cites work: Spectral polynomial chaos solutions of the stochastic advection equation
cites work: An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
cites work: Sparse grid collocation schemes for stochastic natural convection problems
cites work: High-Order Collocation Methods for Differential Equations with Random Inputs
cites work: Q3538690
cites work: An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
cites work: Maximum likelihood estimation of stochastic chaos representations from experimental data
cites work: Modeling diffusion in random heterogeneous media: data-driven models, stochastic collocation and the variational multiscale method
cites work: A non-linear dimension reduction methodology for generating data-driven stochastic input models
cites work: A multiscale stochastic finite element method on elliptic problems involving uncertainties
cites work: Variational multiscale stabilized FEM formulations for transport equations: Stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations
cites work: A comparison of multiscale methods for elliptic problems in porous media flow
cites work: Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
cites work: A locally conservative variational multiscale method for the simulation of porous media flow with multiscale source terms
cites work: Subgrid Upscaling and Mixed Multiscale Finite Elements
cites work: Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
cites work: Sparse finite elements for stochastic elliptic problems --- higher order moments
cites work: Sparse finite elements for elliptic problems with stochastic loading
cites work: Sparse finite element methods for operator equations with stochastic data.
cites work: Mixed and Hybrid Finite Element Methods
cites work: Q4136469
cites work: Q4131338
cites work: Turbulence, Coherent Structures, Dynamical Systems and Symmetry
cites work: Q3870155
cites work: Q4418853
cites work: Q5729634
cites work: Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning
cites work: Spectral Methods
cites work: An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
cites work: Q5600030
cites work: Numerical integration using sparse grids
DOI: 10.1016/J.JCP.2008.10.006
description: scientific article; zbMATH DE number 5539905