Year: 2023
Author: B.Ya. Steinberg, O.B. Steinberg, P.A. Oganesyan, A.A. Vasilenko, V.V. Veselovskiy, N.A. Zhivykh
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 1 : pp. 47–58
Abstract
This article deals with parallel iterative algorithms for linear systems with block-band matrices. The algorithms can be used in mathematical modeling of the problems involving finite difference and finite element methods. The solvers are adjusted to the problem and to the computing systems, which use special precompilers. Applications of the algorithms to the ACELAN-COMPOS software package focused on the new material modeling, is described. To achieve a high performance, both parallel programming techniques and the optimization of the processor memory hierarchy are used. The results of numerical experiments confirm the efficiency of the methods and algorithms.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.300921.210522
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 1 : pp. 47–58
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: High performance computing parallel computing iterative algorithm sparse matrix system of linear algebraic equations.