An Improvement of Convergence in Finite Element Analysis With Infinite Element Using Deflation
An Improvement of Convergence in Finite Element Analysis With Infinite Element Using Deflation
复制标题
利用紧缩改进有限元分析与无限元的收敛性
DOI：
10.1109/tmag.2011.2173468
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发表时间：
2012
影响因子：
2.1
通讯作者：
Hajime Igarashi
中科院分区：
文献类型：
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作者：
Hiroki Ito;Kota Watanabe;Hajime Igarashi
本文提出了一种改进无限元有限元分析收敛性的缩紧技术。在电磁场有限元分析中，必须将较大的空气区离散成有限元网格。这将导致计算时间的增加。为了解决这一问题，引入了精确表示空气区电磁场的无限元。然而，当使用无穷元时，迭代线性解的收敛性会因为有限元矩阵的条件个数变大而变差。本文介绍了一种改进迭代求解收敛性的压缩技术。数值算例表明，该方法可以改善有限单元和无限单元静磁分析的收敛特性。
This paper presents a deflation technique to improve the convergence of finite element (FE) analyses with infinite elements. In FE analyses of electromagnetic fields, large air regions must be discretized into FE meshes. This leads to increases in computational time. The infinite element in which electromagnetic fields in air region are accurately expressed has been introduced in order to solve this problem. However, when using the infinite element, convergence of iterative liner solvers deteriorates because the condition number of FE matrices becomes large. In this paper, a deflation technique to improve convergence of iterative solvers is introduced. Numerical examples show that the proposed technique can improve convergence characteristics in a magnetostatic analysis with finite and infinite elements.
隐式和显式误差修正法有限元分析迭代求解器的收敛加速
DOI：
--
发表时间：
2009
期刊：
IEEE Transaction on Magnetics 45
影响因子：
--
作者：
Takeshi Mifune;Soichi Moriguchi;Takeshi Iwashita and Masaaki
通讯作者：
Takeshi Iwashita and Masaaki