This paper will suggest a new finite element method to find a $P^4$-velocity and a $P^3$-pressure solving Stokes equations. The method solves first the decoupled equation for the $P^4$-velocity. Then, four kinds of local $P^3$-pressures and one $P^0$-pressure will be calculated in a successive way. If we superpose them, the resulting $P^3$-pressure shows the optimal order of convergence same as a $P^3$-projection. The chief time cost of the new method is on solving two linear systems for the $P^4$-velocity and $P^0$-pressure, respectively.

翻译：本文将建议一种新的有限要素方法, 以寻找 $P 4$- 速度和 $P 3$- 压力溶解 Stokes 方程式。 该方法首先解析$P 4$- 速度的分离方程式。 然后, 四种本地的$P 3$- 压力和一美元P 0$- 压力将连续计算。 如果我们加注它们, 由此产生的 $P 3$- 压力将显示最佳趋同顺序与 $ P 3$- 预测相同。 新方法的主要时间成本是分别解决 $P 4 速度和 $ P 0$ 压力的两个线性系统 。