A p-version two level spline method for 2D Navier-Stokes equations

作者：Shao, Xinping; Han, Danfu; Hu, Xianliang^*

来源：Computers & Mathematics with Applications, 2016, 71(12): 2557-2567.

DOI：10.1016/j.camwa.2016.04.009

• Two level
• p-version
• Spline method
• Stream function
• Navier Stokes equations
• Convergence analysis

We propose a p-version two level method for the spline solutions of the Navier-Stokes equations in stream function formulation. The new two level method can significantly accelerate the corresponding one level method, especially when the degrees of the spline spaces are greater than 5 in two dimensional case. The convergence analysis as well as the error estimation is given, which is asymptotic optimal with respect to the degrees of the spline spaces. Several numerical examples are presented to validate the theoretical analysis and show the efficiency of the proposed two level spline method.

• 出版日期2016-6
• 单位杭州电子科技大学; 浙江大学; 杭州师范大学