Stokes型积分微分方程的非协调元逼近

A nonconforming finite element approximation to the integrodifferential equations of stokes type

讨论了一个新的低阶非协调矩形元并将其应用于Stokes型积分微分方程的混合有限元逼近,证明了离散的LBB稳定性条件.从而,在不需要利用传统的Ritz-Volterra投影的情况下,利用插值的特殊性质和一些特殊的技巧,分别导出了速度的能量模及压力的L2模的最优误差估计.

In the paper,a new low order nonconforming rectangular finite element approximation for the integrodifferential equations of Stokes type was discussed,and the discrete LBB consistent condition was proved.Then by using special qualities of interpolation and some novel skill,the error estimates of optimal order were derived both in the enery norm for the velocity and the L2-norm for the pressure without using Ritz-Volterra projection.