Error estimate of the P1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

被引：15
|
作者：
Lu, Xiliang [1 ]
Lin, Ping [2 ]
机构：
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICAM, A-4040 Linz, Austria
[2] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland
来源：
NUMERISCHE MATHEMATIK | 2010年 / 115卷 / 02期
关键词：
SEQUENTIAL REGULARIZATION METHOD; APPROXIMATION; FORMULATION; DYNAMICS; FLOWS;
D O I：
10.1007/s00211-009-0277-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a finite element method for the penalty formulation of the time dependent Navier-Stokes equations. Usually the improper choice of the finite element space will lead that the error estimate (inversely) depends on the penalty parameter epsilon. We use the classical P-1 nonconforming finite element space for the spatial discretization. Optimal epsilon-uniform error estimations for both velocity and pressure are obtained.
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页码：261 / 287
页数：27
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