Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471289 | Computers & Mathematics with Applications | 2016 | 11 Pages |
Abstract
We propose a pp-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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xinping Shao, Danfu Han, Xianliang Hu,