Navier－Stokes方程的变网格非协调有限元法

THE NONCONFORMING FINITE ELEMENT METHODS WITH MOVING GRID OF NAVIER-STOKES EQUATIONS

本文通过所谓的速度－压力型公式讨论了Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的变网格非协调有限元逼近，得到了在确定模意义下的速度、压力误差估计，且在一定条件下，某些误差估计能达到最优。

This paper deals with nonconforming finite element approximations with moving grid of Navier-Stokes equations in three-dimensional bounded domain,by using the so-called velocitypressure mixed formulation. Error estimates in a certain norm of the velocity and the pressure are derived for the nonconforming C-R scheme with moving grid. Moreover, we find that some error estimates are optimal.