A weak Galerkin generalized multiscale finite element method
Abstract
In this study, we propose a general framework for weak Galerkin generalized multiscale (WG-GMS) finite element method for the elliptic problems with rapidly oscillating or high contrast coefficients. This general WG-GMS method features in high order accuracy on general meshes and can work with multiscale basis derived by different numerical schemes. A special case is studied under this WG-GMS framework in which the multiscale basis functions are obtained by solving local problem with the weak Galerkin finite element method. Convergence analysis and numerical experiments are obtained for the special case.
- Authors:
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1675001
- Alternate Identifier(s):
- OSTI ID: 1311297; OSTI ID: 1358864
- Grant/Contract Number:
- ERKJE45; AC05-00OR22725
- 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: 305 Journal Issue: C; Journal ID: ISSN 0377-0427
- Publisher:
- Elsevier
- Country of Publication:
- Belgium
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; weak Galerkin; multiscale; finite element methods; elliptic problems with rapidly oscillating or high contrast coefficients; polyhedral meshes
Citation Formats
Mu, Lin, Wang, Junping, and Ye, Xiu. A weak Galerkin generalized multiscale finite element method. Belgium: N. p., 2016.
Web. doi:10.1016/j.cam.2016.03.017.
Mu, Lin, Wang, Junping, & Ye, Xiu. A weak Galerkin generalized multiscale finite element method. Belgium. https://doi.org/10.1016/j.cam.2016.03.017
Mu, Lin, Wang, Junping, and Ye, Xiu. Sat .
"A weak Galerkin generalized multiscale finite element method". Belgium. https://doi.org/10.1016/j.cam.2016.03.017.
@article{osti_1675001,
title = {A weak Galerkin generalized multiscale finite element method},
author = {Mu, Lin and Wang, Junping and Ye, Xiu},
abstractNote = {In this study, we propose a general framework for weak Galerkin generalized multiscale (WG-GMS) finite element method for the elliptic problems with rapidly oscillating or high contrast coefficients. This general WG-GMS method features in high order accuracy on general meshes and can work with multiscale basis derived by different numerical schemes. A special case is studied under this WG-GMS framework in which the multiscale basis functions are obtained by solving local problem with the weak Galerkin finite element method. Convergence analysis and numerical experiments are obtained for the special case.},
doi = {10.1016/j.cam.2016.03.017},
journal = {Journal of Computational and Applied Mathematics},
number = C,
volume = 305,
place = {Belgium},
year = {Sat Oct 01 00:00:00 EDT 2016},
month = {Sat Oct 01 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.cam.2016.03.017
https://doi.org/10.1016/j.cam.2016.03.017
Other availability
Cited by: 4 works
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