Local and parallel finite element methods for the mixed Navier–Stokes/Darcy model. Issue 7 (2nd July 2016)

• Record Type: Journal Article
• Authors: Du, Guangzhi; Hou, Yanren; Zuo, Liyun
• Is Part Of: International journal of computer mathematics. Volume 93:Issue 7(2016)
• Page Start: 1155
• Page End: 1172
• Publication Date: 2016-07-02
• Subjects: Navier–stokes equations -- Darcy's law -- decoupling -- two-grid discretization -- parallel finite element method; 35M30 -- 65N12 -- 65N30 -- 76D05 -- 76S05; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2015.1026338
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, the mixed Navier–Stokes/Darcy problem which describes a fluid flow filtrating through porous media is considered. Based on two-grid discretizations, two local and parallel finite element algorithms for solving this mixed model are proposed. Numerical analysis and experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithms.