A DISCONTINUOUS ELEMENT PRESSURE GRADIENT STABILIZATIONS FOR THE STOKES EQUATIONS BASED ON LOCAL PROJECTIONS
Stokes方程的压力梯度局部投影间断有限元法

In this paper,we derive a pressure gradient discontinuous finite element formulation for Stokes equations based on local projections.This new formulation is stable and consistent for any combination of discrete discontinuous velocity and pressure spaces,when polynomials of degree l are used for each component of velocity and polynomials of m for the pressure, for any l(?)1 and m(?)0.Optimal error estimates for the approximation of both velocity and pressure in L~2 norm are obtained for the Stokes problems.