广义特征值问题的并行EBE向量迭代法  

Parallel EBE vector iteration methods for generalized eigenproblems

作　　者：邓绍忠[1] 周树荃[1] 

机构地区：[1]南京航空航天大学数理力学系

出　　处：《计算结构力学及其应用》1994年第4期401-407,共7页

基　　金：国防科技预研任务课题

摘　　要：本文利用ＥＢＥ策略和共轭梯度法，将广义特征值问题向量迭代法中各步的计算在单元级上进行，避免了总刚度和总质量矩阵的组集，大大节省了存储量。由此建立的ＥＢＥ向量迭代法尤其适宜于并行处理。数值算例结果表明无论是串行、还是并行计算，这类ＥＢＥ向量迭代法都能有效提高计算速度。In this paper,by way of EBE strategy and conjugate gradient method ,we have devel-oped a class of EBE vector iteration methods for generalized eigenproblems,in which all ofcomputations of vector iteration are performed on the element level.The class of methods notonly can save memory space efficiently because of avoiding the formation of the global stiff-ness matrix and the global mass matrix,but also is very suitable for parallel computing. Thenumerical example has demonstrated its efficiency.

关 键 词：向量迭代法 特性值问题 并行算法 结构动力分析 

分 类 号：O302[理学—力学]