A p-version two level spline method for 2D Navier–Stokes equations. (June 2016)

• Record Type: Journal Article
• Authors: Shao, Xinping; Han, Danfu; Hu, Xianliang
• Is Part Of: Computers & mathematics with applications. Volume 71:issue 12(2016)
• Page Start: 2557
• Page End: 2567
• Publication Date: 2016-06
• Subjects: Two level -- p-version -- Spline method -- Stream function -- Navier–Stokes equations -- Convergence analysis; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.04.009
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.