基于残差局部投影的稳定化方法

Stabilized Method Based on Local Projection of Residual

本文采用连续等阶的速度与压力有限元空间,针对Oseen方程提出一个基于残差局部投影的稳定化方法。此稳定有限元方法克服了有限元空间所需满足的inf-sup条件。理论证明该方法具有好的稳定性和最优误差估计。

Based on the local projection of residual, this paper presents a stabilized method for Oseen equations by using the continuous equal order elements to approximate the velocity and pressure. The stabilized finite element method doesn＇t need the finite element spaces to satisfy the inf- sup condition. The theory shows that this method has the good stability and optimal error estimation.