An analysis of some element-by-element techniques
An analysis of some element-by-element techniques
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一些逐元素技术的分析
DOI：
10.1016/0045-7825(89)90052-2
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
A. Wathen
中科院分区：
文献类型：
--
作者：
A. Wathen
有限元方程组通常用消元法求解，但对于非常大的问题，迭代技术变得有竞争力。特别地，共轭梯度法与适当的预处理是一种有吸引力的策略对称系统。本文的目的是分析逐元技术的收敛性质，这两种方法作为迭代方法本身和作为共轭梯度的前置条件。考虑了一、二、三维问题。
Systems of finite element equations are most commonly solved by elimination methods, but for very large problems, iterative techniques become competitive. In particular, the conjugate gradient method with appropriate preconditioning is an attractive strategy for symmetric systems. The purpose of this paper is to analyse the convergence properties of element-by-element techniques both as iterative methods in their own right and as preconditioners for conjugate gradients. One-, two- and three-dimensional problems are considered.