Analysis of Iterative Solvers used for Computing a 3D FEM Hybrid Stepper Model

O. Craiu, T. Ichim, Paul-Matei Craiu
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Abstract

The paper presents an analysis of different iterative solvers used for computing large and very large linear and nonlinear matrix systems. The solvers compared were used to solve the Finite Element Method (MEF) 3D models of a steady magnetic field distribution in a hybrid bi-phase stepper motor. The modeling was done using the professional software COMSOL Multiphysics. The convergence, the computational time, and the preconditioning method influence on the iterative solvers were analyzed using four different discretization meshes. Both the linear and the non-linear models (due to constitutive magnetic nonlinearity) were studied.
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三维有限元混合步进模型迭代求解方法分析
本文分析了用于计算大型和超大型线性和非线性矩阵系统的不同迭代求解方法。将所比较的求解方法用于求解混合式双相步进电机稳态磁场分布的三维有限元模型。采用专业软件COMSOL Multiphysics进行建模。采用四种不同的离散网格,分析了收敛性、计算时间和预处理方法对迭代解的影响。研究了线性模型和非线性模型(由于磁本构非线性)。
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