Navier-Stokes方程区域分解法——应用及数值模拟

Domain decomposition method for Navier Stokes equation:application and numerical simulation

本文构造了Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的最优控制区域分解方法的极小化序列，将非线性问题转化为在各子区域上并行求解一系列线性问题，证得了估值函数是多项式因而易求极值，并进行了一些数值模拟，研究了重叠区域对收敛性的影响。

In this paper, we make a minimizing sequence for optimal control domain decomposition method for N S equations, which should parallely slove some linear problems and a polynomal minimizing problem on each subdomain. Some numerical experiment are done at last.