A numerical study of iterative substructuring method for finite element analysis of high frequency electromagnetic fields. (October 2016)

• Record Type: Journal Article
• Authors: Ogino, Masao; Takei, Amane; Sugimoto, Shin-ichiro; Yoshimura, Shinobu
• Is Part Of: Computers & mathematics with applications. Volume 72:issue 8(2016)
• Page Start: 2020
• Page End: 2027
• Publication Date: 2016-10
• Subjects: Iterative substructuring method -- Iterative methods -- Minimal residual method -- Complex symmetric systems; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.04.028
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: This paper describes iterative methods for the high frequency electromagnetic analysis using the finite element method of Maxwell equations including displacement current. The conjugate orthogonal conjugate gradient method has been widely used to solve a complex symmetric system. However, the conventional method suffers from oscillating convergence histories in large-scale analysis. In this paper, to solve large-scale complex symmetric systems arising from the formulation of the E method, an iterative substructuring method like the minimal residual method is presented, and the performance of the convergence of the method is evaluated by numerical results. As the result, the proposed method shows a stable convergence behavior and a fast convergence rate compared to other iterative methods.