A weak Galerkin generalized multiscale finite element method

Journal Article · Sat Oct 01 00:00:00 EDT 2016 · Journal of Computational and Applied Mathematics

DOI:https://doi.org/10.1016/j.cam.2016.03.017· OSTI ID:1675001

Mu, Lin; Wang, Junping; Ye, Xiu

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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
• Grant/Contract Number: ERKJE45; AC05-00OR22725
• OSTI ID: 1675001
• Alternate ID(s): OSTI ID: 1311297; OSTI ID: 1358864
• Journal Information: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Vol. 305 Journal Issue: C; ISSN 0377-0427
• Publisher: Elsevier
• Country of Publication: Belgium
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
weak Galerkin
multiscale
finite element methods
elliptic problems with rapidly oscillating or high contrast coefficients
polyhedral meshes