大型有限元计算中稀疏矩阵存储程序的改进

IF 0.5 Q4 ENGINEERING, MULTIDISCIPLINARY Journal of the Serbian Society for Computational Mechanics Pub Date : 2021-11-01 DOI:10.24874/jsscm.2021.15.01.06
Dragoljub Stevanovic, M. Topalovic, M. Zivkovic
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引用次数: 0

摘要

高效的内存处理是工程师和程序员在开发有限元法等数值分析软件时面临的关键问题之一。该方法在具有大量零系数的巨大矩阵上操作,这会浪费内存,因此有必要保存它,并且使用所谓的“稀疏”矩阵只处理非零系数。分析了两种改进“稀疏”矩阵生成的方法,给出了它们的伪代码。在大范围的问题大小上进行比较。结果表明,“索引”方法在内存使用和运行时间上都优于“点”方法。
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IMPROVEMENT OF THE SPARSE MATRICES STORAGE ROUTINES FOR LARGE FEM CALCULATIONS
Efficient memory handling is one of the key issues that engineers and programmers face in developing software for numerical analysis such as the Finite Element Method. This method operates on huge matrices that have a large number of zero coefficients which waste memory, so it is necessary to save it and to work only with non-zero coefficients using so called "SPARSE" matrices. Analysis of two methods used for the improvement of "SPARSE" matrix creation is presented in this paper and their pseudo code is given. Comparison is made on a wide range of problem sizes. Results show that "indexing" method is superior to "dotting" method both in memory usage and in elapsed time.
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