针对带乘性噪音的随机 Navier-Stokes 方程的压力稳定方法进行了研究，对于速度压力空间采用一阶等阶有限元进行逼近。该方法通过引入稳定化参数，解耦速度压力变量，解决了有限元空间对选取的问题。从理论上证明了压力稳定方法的稳定性和收敛性，并最终证明当稳定化参数满足一定条件时，空间离散的收敛阶可以达到最优。

In this paper, the pressure stabilization method of the stochastic Navier-Stokes equation with multiplicative noise is studied, and the velocity pressure space is approximated by first-order finite elements. This method solves the problem of finite element space pair selection by introducing stabilization parameters and decoupling velocity pressure variables. The stability and convergence of the pressure stabilization method are proved theoretically. Finally, it is proved that the convergence order of space discreteness can reach the optimal when the stabilization parameters meet certain conditions.