TWO-LEVEL STABILIZED, NONCONFORMING FINITE-ELEMENT ALGORITHMS FOR THE STATIONARY CONDUCTION-CONVECTION EQUATIONS

被引:11
|
作者
Su, Haiyan [1 ]
Gui, Dongwei [2 ]
Huang, Pengzhan [1 ]
Feng, Xinlong [1 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Chinese Acad Sci, Xinjiang Inst Ecol & Geog, Cele Natl Stn Observat & Res Desert Grassland Eco, Urumqi, Peoples R China
关键词
STOKES;
D O I
10.1080/10407790.2014.915670
中图分类号
O414.1 [热力学];
学科分类号
摘要
The two-level lowest equal-order nonconforming stabilized finite-element method for the stationary conduction-convection equations based on the local Gauss integration is considered in this article. The method includes three different corrections: Stokes correction, Oseen correction, and Newton correction. Moreover, the stability and convergence of the proposed method are deduced. Numerical results are shown to support the developed theory analysis and demonstrate the good effectiveness of the given method.
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页码:211 / 242
页数:32
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