A deflated iterative solver for magnetostatic finite element models with large differences in permeability
A deflated iterative solver for magnetostatic finite element models with large differences in permeability
复制标题
磁导率差异较大的静磁有限元模型的压缩迭代求解器
DOI：
10.1051/epjap:2001112
复制
发表时间：
2001
影响因子：
1
通讯作者：
K. Hameyer
中科院分区：
文献类型：
--
作者：
H. Gersem;K. Hameyer
材料的磁导率差异较大的存在下，Krylov子空间迭代求解器的收敛性有不利的影响。一些缓慢收敛的分量不通过预处理来固化，并且对应于反映具有相对低渗透性材料的域的本征向量。这些特征向量的近似值使用问题的物理知识来确定。迭代求解过程被分解成一个小问题，计算分离的本征模和一个全尺寸的问题，其中缓慢收敛的模式被删除。与不完全乔莱斯基共轭梯度法等更常见的方法相比，这种收缩的预处理求解器收敛速度更快。
The presence of materials with a relative large difference in permeability has a harmful influence on the convergence of Krylov subspace iterative solvers. Some slow converging components are not cured by preconditioning and correspond to eigenvectors reflecting the domains with relatively low permeable material. Approximations for those eigenvectors are determined using physical knowledge of the problem. The iterative solution process is split up in a small problem counting for the separated eigenmodes and a full-size problem out of which the slow converging modes are removed. This deflated preconditioned solver is faster converging compared to more common approaches, such as the incomplete Cholesky conjugate gradient method.