求解Time-dependent Stokes方程的含参数双预优迭代算法

The Parameter Form of Dual Preconditioned Method for Time-Dependent Stokes Equations

Time-dependent Stokes方程在离散动力学系统和科学计算中具有非常重要的作用,而它的求解非常困难.针对Time-dependent Stokes方程利用双预优方法构造了一种新型的含参数双预优迭代解法,并给出了新方法的收敛性分析,同时还讨论了参数的取值范围.最后用数值算例又验证了新方法的可行性和有效性.

Time-dependent stokes equation plays an important role in discrete dynamical system and scientific calculation, but it is very difficult to solve its solutions. In this paper,A new kind of parameter form of double preconditioned method is constructed by using the double preconditioned method. And we study its iterative formats and domains of convergence,respectively. Simultaneously, we get the corresponding theorems and conclusions. Finally, we give numerical examples to verify the feasibility and effectiveness of the new method.