稳定型Stokes方程的非协调有限元后验误差估计

A Posterior Error Estimates for Nonconforming Approximation of the Stationary Stokes Problem

给出了具有混合边界的稳定型Stokes方程的余项型后验误差估计,该误差估计是在Crouzeix-Raviart非协调有限单元上得到的,并给出了误差的上下界,上界证明中使用的"Helmholtz分解"解决了非协调元中不能使用"Galerkin正交"的问题,下界证明主要依赖"bubble函数".

This paper focuses on a residual-based a posteriori error estimates for nonconforming approximation of the stationary Stokes equation with mixed boundary.It is done in Crouzeix-Raviart elements and gives both upper and lower bounds of the estimates.The proof of upper bounds relies on a Helmholtz decomposition,and low bounds relies on bubble function.