流函数形式的Navier-Stokes方程的压力回复最优稳定化有限元逼近

Stabilized F. E. approximation for Optimal Pressure Recovery from Stream Function Formulation of Navier-Stokes Equations

§1 引言 在二维情形速度和压力表述的N-S方程 求解时,为了使不可压缩条件（1.b）精确地满足,通常采用流函数技巧,把问题（1.1）先归结为求流函数ψ∈H02（Ω）满足 来求出速度场,然后通过（1.1）再求出压力。（1.2）一般称为流函数形式的N-S方程。

This paper is based on [2,3] that F. E. M. is discussed for Navier-Stokes equations of stream function formulation, a stabilized mixed Petrov-Galerkin F. E. method is presented for optimal pressure recovery, and error estimates is also obtained.