A posteriori error estimates for the Stokes problem with singular sources
A posteriori error estimates for the Stokes problem with singular sources
复制标题
DOI：
10.1016/j.cma.2018.11.004
复制
发表时间：
2018-06
影响因子：
7.2
通讯作者：
A. Allendes;E. Otárola;A. Salgado
中科院分区：
文献类型：
--
作者：
A. Allendes;E. Otárola;A. Salgado
我们提出了一个后验误差估计的经典低阶inf-sup稳定和稳定的有限元逼近的Stokes问题的奇异源在二维和三维Lipschitz，但不一定是凸的，多面体域。所设计的误差估计器被证明是可靠的和局部有效的。在这些估计的基础上，我们设计了一个简单的自适应策略，产生最佳的收敛速度的数值例子，我们执行。
We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized finite element approximations of the Stokes problem with singular sources in two and three dimensional Lipschitz, but not necessarily convex, polytopal domains. The designed error estimators are proven to be reliable and locally efficient. On the basis of these estimators we design a simple adaptive strategy that yields optimal rates of convergence for the numerical examples that we perform.