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Block subspace projection preconditioned conjugate gradient method in modal structural analysis

机译:块子空间投影预由缀合物梯度法在模态结构分析中

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This paper considers the preconditioned block conjugate gradient method for solving the algebraic, generalized partial eigenvalue problem, which arises when the finite element method is applied to dynamic analysis in structural and solid mechanics. The focus is on the development of an algorithm that keeps constant the iterable subspace dimension, independently of the number of eigenpairs required. Novelties in this approach include a preconditioning strategy based on block incomplete factorization of the shifted stiffness matrix, and analysis of unremovable errors, which accumulate with increasing numbers of eigenpairs. (C) 2020 Elsevier Ltd. All rights reserved.
机译:本文考虑了用于求解代数,广义部分特征值问题的预处理块共轭梯度方法,其在结构和固体力学中应用有限元方法时出现。重点是开发算法,该算法保持常见的子空间维度,独立于所需的特征方数。这种方法中的Noveltizies包括基于偏移刚度矩阵的块不完全分解的预处理策略,以及不可移动的误差分析,其随着越来越多的特征覆盖。 (c)2020 elestvier有限公司保留所有权利。

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