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Title: A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems

Journal Article · · Computer Methods in Applied Mechanics and Engineering

Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
FG02-13ER26165; SC0010713
OSTI ID:
1245483
Journal Information:
Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 292 Journal Issue: C; ISSN 0045-7825
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 25 works
Citation information provided by
Web of Science

References (27)

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Generalized multiscale finite element method. Symmetric interior penalty coupling journal December 2013
A new multiscale finite element method for high-contrast elliptic interface problems journal May 2010
On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation journal January 2004
Variational Multiscale Finite Element Method for Flows in Highly Porous Media journal October 2011
Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems journal January 2004
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media journal June 1997
Coarse Spaces by Algebraic Multigrid: Multigrid Convergence and Upscaling Error Estimates journal April 2011
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems journal January 2009
The Heterognous Multiscale Methods journal January 2003
Subgrid Upscaling and Mixed Multiscale Finite Elements journal January 2006
Balancing domain decomposition for mortar mixed finite element methods journal January 2002
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms journal February 2012
Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy journal April 2011
Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media journal January 2010
Generalized multiscale finite element methods (GMsFEM) journal October 2013
Mixed Finite Element Methods on Nonmatching Multiblock Grids journal January 2000
A discretization and multigrid solver for a Darcy–Stokes system of three dimensional vuggy porous media journal December 2008
Multiscale finite element methods for high-contrast problems using local spectral basis functions journal February 2011
Conditions for superconvergence of HDG methods for second-order elliptic problems journal September 2012
Domain decomposition for multiscale PDEs journal April 2007
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems journal January 2013
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows journal January 2008
A multiscale mortar multipoint flux mixed finite element method journal February 2012
Multiscale Finite Element Methods for Nonlinear Problems and Their Applications journal January 2004
The variational multiscale method—a paradigm for computational mechanics journal November 1998

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