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

Title: Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1635551
Alternate Identifier(s):
OSTI ID: 1358862
Grant/Contract Number:  
FG02-13ER26165; SC0010713
Resource Type:
Published Article
Journal Name:
Journal of Computational and Applied Mathematics
Additional Journal Information:
Journal Name: Journal of Computational and Applied Mathematics Journal Volume: 300 Journal Issue: C; Journal ID: ISSN 0377-0427
Publisher:
Elsevier
Country of Publication:
Belgium
Language:
English

Citation Formats

Gao, Longfei, Tan, Xiaosi, and Chung, Eric T. Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique. Belgium: N. p., 2016. Web. https://doi.org/10.1016/j.cam.2015.12.031.
Gao, Longfei, Tan, Xiaosi, & Chung, Eric T. Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique. Belgium. https://doi.org/10.1016/j.cam.2015.12.031
Gao, Longfei, Tan, Xiaosi, and Chung, Eric T. Fri . "Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique". Belgium. https://doi.org/10.1016/j.cam.2015.12.031.
@article{osti_1635551,
title = {Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique},
author = {Gao, Longfei and Tan, Xiaosi and Chung, Eric T.},
abstractNote = {},
doi = {10.1016/j.cam.2015.12.031},
journal = {Journal of Computational and Applied Mathematics},
number = C,
volume = 300,
place = {Belgium},
year = {2016},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.cam.2015.12.031

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids
journal, July 2007


Generalized multiscale finite element methods (GMsFEM)
journal, October 2013


Generalized multiscale finite element method. Symmetric interior penalty coupling
journal, December 2013


Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation
journal, August 1996

  • Papadrakakis, Manolis; Papadopoulos, Vissarion
  • Computer Methods in Applied Mechanics and Engineering, Vol. 134, Issue 3-4
  • DOI: 10.1016/0045-7825(95)00978-7

Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
journal, August 2015


Multiscale finite element methods for high-contrast problems using local spectral basis functions
journal, February 2011

  • Efendiev, Yalchin; Galvis, Juan; Wu, Xiao-Hui
  • Journal of Computational Physics, Vol. 230, Issue 4
  • DOI: 10.1016/j.jcp.2010.09.026

Generalized multiscale finite element method for elasticity equations
journal, October 2014

  • Chung, Eric T.; Efendiev, Yalchin; Fu, Shubin
  • GEM - International Journal on Geomathematics, Vol. 5, Issue 2
  • DOI: 10.1007/s13137-014-0066-0

Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems
journal, October 2010


Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media
journal, January 2014

  • Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
  • Multiscale Modeling & Simulation, Vol. 12, Issue 4
  • DOI: 10.1137/130926675

Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
journal, January 2010

  • Galvis, Juan; Efendiev, Yalchin
  • Multiscale Modeling & Simulation, Vol. 8, Issue 5
  • DOI: 10.1137/100790112

Generalized Multiscale Finite Element Methods: Oversampling Strategies
journal, January 2014


Mixed Generalized Multiscale Finite Element Methods and Applications
journal, January 2015

  • Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing
  • Multiscale Modeling & Simulation, Vol. 13, Issue 1
  • DOI: 10.1137/140970574

A generalized multiscale finite element method for the Brinkman equation
journal, May 2015

  • Galvis, Juan; Li, Guanglian; Shi, Ke
  • Journal of Computational and Applied Mathematics, Vol. 280
  • DOI: 10.1016/j.cam.2014.11.038

Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations
journal, October 2009


A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
journal, December 2006


An adaptive GMsFEM for high-contrast flow problems
journal, September 2014


An overview of the proper generalized decomposition with applications in computational rheology
journal, June 2011


Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
journal, January 2004

  • Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
  • SIAM Journal on Numerical Analysis, Vol. 42, Issue 2
  • DOI: 10.1137/S0036142902418680

Parallelization in time through tensor-product space–time solvers
journal, January 2008


Fast Tensor-Product Solvers: Partially Deformed Three-dimensional Domains
journal, September 2008

  • Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar M.
  • Journal of Scientific Computing, Vol. 39, Issue 1
  • DOI: 10.1007/s10915-008-9246-0

A Systematic Coarse-Scale Model Reduction Technique for Parameter-Dependent Flows in Highly Heterogeneous Media and Its Applications
journal, January 2012

  • Efendiev, Yalchin; Galvis, Juan; Thomines, Florian
  • Multiscale Modeling & Simulation, Vol. 10, Issue 4
  • DOI: 10.1137/110853030