Least-squares RBF-FD method for the incompressible Stokes equations with the singular source. (3rd June 2019)

• Record Type: Journal Article
• Authors: Sun, Ting; Li, Jingwei; Zhao, Jianping; Feng, Xinlong
• Is Part Of: Numerical heat transfer. Volume 75:Number 11(2019)
• Page Start: 739
• Page End: 752
• Publication Date: 2019-06-03
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; 621.4022
• DOI: 10.1080/10407782.2019.1608766
• Languages: English
• ISSNs: 1040-7782

Abstract

Abstract: In this article, we propose the least-squares RBF-FD method for the incompressible Stokes equations with the singular source along the interface. First, we apply Green's formula to derive interface conditions, then by employing the RBF-FD method to directly discretize the spatial operators, a least-squares system about the incompressible Stokes equations with interface conditions is constructed. The discrete least-squares system is derived by introducing the weight coefficient. We obtain the error bound of discrete least-squares system using the RBF interpolant theorem. Some numerical examples are provided to show the convergency and efficiency of the least-squares RBF-FD method for the incompressible Stokes equations with the singular source.