{"title":"Estimates of CPU Load Unbalancing in Parallelizing Solutions of $$3D$$ Boundary Value Problems on Quasi-Structured Grids","authors":"Il. A. Klimonov, V. D. Korneev, V. M. Sveshnikov","doi":"10.1134/s1995423924010051","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A study of the influence of unbalancing the processor load in parallelization of solutions of <span>\\(3D\\)</span> boundary value problems on quasi-structured parallelepipedal grids is carried out. Estimates of the influence of the unbalance on the time of solving the problems versus the number of the processors and the number of the grid nodes used are given. The results of numerical experiments confirm the theoretical conclusions.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"3 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1995423924010051","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
A study of the influence of unbalancing the processor load in parallelization of solutions of \(3D\) boundary value problems on quasi-structured parallelepipedal grids is carried out. Estimates of the influence of the unbalance on the time of solving the problems versus the number of the processors and the number of the grid nodes used are given. The results of numerical experiments confirm the theoretical conclusions.
期刊介绍：
Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998.
The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields.
The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.
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