The localized reduced basis multiscale method for two-phase flows in porous media
type: Item
instance of: scholarly article
title: The localized reduced basis multiscale method for two-phase flows in porous media
zbMATH Open document ID: 1352.76057
author: Sven Kaulmann
author: Bernd Flemisch
author: B. Haasdonk
author: Knut-Andreas Lie
author: Mario Ohlberger
published in: International Journal for Numerical Methods in Engineering
publication date: 2016-12-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1405.2810
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 6669617
zbMATH Keywords: model order reduction
zbMATH Keywords: reduced basis methods
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: two-phase flow
zbMATH Keywords: multiscale methods
Wikidata QID: Q59900298
describes a project that uses: DUNE
describes a project that uses: rbMIT
describes a project that uses: DUNE-FEM
MaRDI profile type: Publication
OpenAlex ID: W1915014550
arXiv ID: 1405.2810
cites work: Upscaling: a review
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: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: Mode decomposition methods for flows in high-contrast porous media. Global-local approach
cites work: A mixed multiscale finite element method for elliptic problems with oscillating coefficients
cites work: Multiscale mixed/mimetic methods on corner-point grids
cites work: Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow
cites work: A Multiscale Mortar Mixed Finite Element Method
cites work: Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
cites work: A multiscale two-point flux-approximation method
cites work: Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media
cites work: The heterogeneous multiscale methods
cites work: Multiscale Partition of Unity
cites work: A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations
cites work: Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems
cites work: A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
cites work: Reduced-basis output bound methods for parabolic problems
cites work: Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
cites work: Reduced basis method for finite volume approximations of parametrized linear evolution equations
cites work: A reduced basis method for evolution schemes with parameter-dependent explicit operators
cites work: Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems
cites work: A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method
cites work: A new certification framework for the port reduced static condensation reduced basis element method
cites work: Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
cites work: A generic stabilization approach for higher order discontinuous Galerkin methods for convection dominated problems
cites work: A static condensation reduced basis element method: approximation and {a posteriori} error estimation
cites work: The Reduced Basis Element Method: Application to a Thermal Fin Problem
cites work: A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction
cites work: A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
cites work: Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system
cites work: Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
cites work: Adaptive reduced basis finite element heterogeneous multiscale method
cites work: Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems
cites work: High-performance model reduction techniques in computational multiscale homogenization
cites work: A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework
cites work: A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
cites work: A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module
cites work: Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements
DOI: 10.1002/NME.4773
description: scientific article