skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1245483
Grant/Contract Number:  
FG02-13ER26165; SC0010713
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Volume: 292 Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English

Citation Formats

Efendiev, Yalchin, Lazarov, Raytcho, Moon, Minam, and Shi, Ke. A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Netherlands: N. p., 2015. Web. doi:10.1016/j.cma.2014.09.036.
Efendiev, Yalchin, Lazarov, Raytcho, Moon, Minam, & Shi, Ke. A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Netherlands. https://doi.org/10.1016/j.cma.2014.09.036
Efendiev, Yalchin, Lazarov, Raytcho, Moon, Minam, and Shi, Ke. 2015. "A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems". Netherlands. https://doi.org/10.1016/j.cma.2014.09.036.
@article{osti_1245483,
title = {A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems},
author = {Efendiev, Yalchin and Lazarov, Raytcho and Moon, Minam and Shi, Ke},
abstractNote = {},
doi = {10.1016/j.cma.2014.09.036},
url = {https://www.osti.gov/biblio/1245483}, journal = {Computer Methods in Applied Mechanics and Engineering},
issn = {0045-7825},
number = C,
volume = 292,
place = {Netherlands},
year = {Sat Aug 01 00:00:00 EDT 2015},
month = {Sat Aug 01 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1016/j.cma.2014.09.036

Citation Metrics:
Cited by: 25 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
journal, May 2003


A Multiscale Mortar Mixed Finite Element Method
journal, January 2007


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


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