Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 14, Issue 3, Pages 1795-1805Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.11.011
Keywords
Lowest equal-order pair; Newton iteration; Smagorinsky model; Local Gauss integration; Two-level strategy
Categories
Funding
- NSF of China [11271313, 61163027, 11126112]
- China Postdoctoral Science Foundation [201104702, 2012M512056]
- Chinese Ministry of Education [212197]
- Project of Special Training of the Minority Nationality in Xinjiang [201123117]
- Doctoral Foundation of Xinjiang University [BS110101]
Ask authors/readers for more resources
A combination method of the Newton iteration and the two-level stabilized finite element algorithm based on local Gauss integration is constructed for solving numerically the steady Smagorinsky model. This algorithm involves solving one small, nonlinear coarse mesh with mesh size H and two linear problems on the fine mesh with mesh size h. Based on the stabilized method and the Newton two-level technique, the computation will be more effective and convenient and the scaling between H and h becomes h = O(H-4), which greatly complements the results of Borggaard et al. (2008) [2]. Moreover, the stability and convergence of the two-level Newton iterative solution are analyzed. Finally, some numerical tests are made to demonstrate the effectiveness of the given method. (C) 2012 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available