Analysis of parallel finite element algorithm based on three linearization methods for the steady incompressible MHD flow. (1st July 2019)

• Record Type: Journal Article
• Authors: Tang, Qili; Huang, Yunqing
• Is Part Of: Computers & mathematics with applications. Volume 78:issue 1(2019)
• Page Start: 35
• Page End: 54
• Publication Date: 2019-07-01
• Subjects: Full domain partition -- Parallel algorithm -- Finite element -- Linearization -- Stationary incompressible magnetohydrodynamics; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2019.02.003
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: Based on full domain partition, parallel finite element algorithm based on three linearizations is designed to solve the stationary incompressible magnetohydrodynamics (MHD). In every algorithm, each processor is in charge of a subproblem which is linearized by three options: Stokes-type, Newton's and Picard's iterations. Each subproblem is defined in the whole domain with vast majority of the degrees of freedom associated with the particular subdomain. The error estimates of these proposed algorithms with respect to iterative step and small mesh sizes are analyzed. Finally, some numerical experiments are provided to show the validity and high efficiency of our algorithms.