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Title: Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains

Journal Article · · Applicable Analysis
 [1];  [2];  [2];  [3];  [2]
  1. Department of Mathematics, The Chinese University of Hong Kong (CUHK), Hong Kong SAR, Hong Kong SAR.; Department of Mathematics &, Institute for Scientific Computation (ISC), Texas A&,M University, College Station, TX, USA.
  2. Department of Mathematics &, Institute for Scientific Computation (ISC), Texas A&,M University, College Station, TX, USA.
  3. Department of Mathematics &, Institute for Scientific Computation (ISC), Texas A&,M University, College Station, TX, USA.; Department of Computational Technologies, Institute of Mathematics and Informatics, North-Eastern Federal University, Yakutsk, Republic of Sakha (Yakutia), Russia.

Not provided.

Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0010713
OSTI ID:
1535363
Journal Information:
Applicable Analysis, Vol. 96, Issue 12; ISSN 0003-6811
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English

References (33)

Generalized multiscale finite element methods for problems in perforated heterogeneous domains journal June 2015
Permeability of textile reinforcements: Simulation, influence of shear and validation journal October 2008
Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures journal January 2010
On a numerical subgrid upscaling algorithm for Stokes–Brinkman equations journal February 2013
Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes journal January 1991
Asymptotic treatment of perforated domains without homogenization journal January 2010
Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration journal March 2015
Spectral asymptotics for an elliptic operator in a locally periodic perforated domain journal June 2014
Upscaling nonlinear adsorption in periodic porous media – homogenization approach journal April 2015
Non homogeneous Dirichlet conditions for an elastic beam: an asymptotic analysis journal November 2015
Acoustic propagation in a random saturated medium: the biphasic case journal November 2012
Analysis and Approximation of Microstructure Models journal June 2012
A Prototype Homogenization Model for Acoustics of Granular Materials journal January 2006
Acoustic Wave Propagation in a Composite of Two Different Poroelastic Materials with a Very Rough Periodic Interface: a Homogenization Approach journal January 2003
Darcy equation for random porous media journal January 1996
The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains journal July 2009
An MsFEM Type Approach for Perforated Domains journal January 2014
Green's Kernels and Meso-Scale Approximations in Perforated Domains book January 2013
Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains journal January 2006
Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials journal January 2010
The Heterognous Multiscale Methods journal January 2003
Generalized multiscale finite element methods (GMsFEM) journal October 2013
An adaptive GMsFEM for high-contrast flow problems journal September 2014
Mixed Generalized Multiscale Finite Element Methods and Applications journal January 2015
Variational Multiscale Finite Element Method for Flows in Highly Porous Media journal October 2011
A new multiscale finite element method for high-contrast elliptic interface problems journal May 2010
A Multiscale Finite Element Method for Numerical Homogenization journal January 2005
Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions journal August 2008
Mixed GMsFEM for second order elliptic problem in perforated domains journal October 2016
Generalized Multiscale Finite Element Methods: Oversampling Strategies journal January 2014
Residual-driven online generalized multiscale finite element methods journal December 2015
Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment journal January 2015
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media journal June 1997

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