Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
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DOI：
10.1002/num.21706
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发表时间：
2013-01
影响因子：
3.9
通讯作者：
P. Knobloch;L. Tobiska
中科院分区：
文献类型：
--
作者：
P. Knobloch;L. Tobiska
我们考虑一类定义在(可能)重叠集上的具有投影空间的局部投影稳定化应用于OSeen问题。我们证明了基本的双线性形式满足关于比矫顽力更强的范数的inf-sup条件。对流稳定化的修正允许对一致性误差进行最佳估计。建立了压力在强范数和L2范数下的先验估计。分析中包含了不连续压力近似。©2012 Wiley Percials，Inc.Numer方法偏差分公式2013
We consider a class of local projection stabilizations with projection spaces defined on (possibly) overlapping sets applied to the Oseen problem. We prove that the underlying bilinear form satisfies an inf–sup condition with respect to a stronger norm than coercivity suggests. A modification of the stabilization of the convection allows an optimal estimation of the consistency error. A priori estimates in the stronger norm and in the L2 norm for the pressure are established. Discontinuous pressure approximations are included in the analysis. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013