Weighted inf-sup condition and pointwise error estimates for the Stokes problem
Weighted inf-sup condition and pointwise error estimates for the Stokes problem
复制标题
Stokes 问题的加权 inf-sup 条件和逐点误差估计
DOI：
10.1090/s0025-5718-1990-0995211-2
复制
发表时间：
1990
影响因子：
2
通讯作者：
R. Nochetto
中科院分区：
文献类型：
--
作者：
R. Durán;R. Nochetto
在最大范数意义下研究了原始变量情形下Stokes问题的混合有限元逼近的收敛性。拟最优逐点误差估计的离散空间满足加权inf-sup条件类似Babuska-Brezzi条件。通常用于证明能量范数中inf-sup条件的技巧可以很容易地推广到目前的情况，从而为我们的抽象框架提供了几个例子
Convergence of mixed finite element approximations to the Stokes problem in the primitive variables is examined in maximum norm. Quasi-optimal pointwise error estimates are derived for discrete spaces satisfying a weighted inf-sup condition similar to the Babuska-Brezzi condition. The usual techniques employed to prove the inf-sup condition in energy norm can be easily extended to the present situation, thus providing several examples to our abstract framework