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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 8, Pages 50–61 (Mi zvmmf10761)  

Matrix-free conjugate gradient implementation of implicit schemes

N. G. Buragoa, I. S. Nikitinbc

a Institute for Problems of Mechanics, Russian Academy of Sciences, Moscow, Russia
b Institute for Computer-Aided Design, Russian Academy of Sciences, Moscow, Russia
c Moscow Aviation Institute (National Research University), Moscow, Russia

Abstract: Matrix-free conjugate gradient algorithms are described as applied to large systems of algebraic equations arising in the implementation of implicit schemes intended for problems in continuum mechanics. The algorithms are shown to reduce the computer memory requirements and provide a higher computer performance. Additional advantages include the robustness of the algorithms and the simplicity of their implementation and debugging.

Key words: matrix-free conjugate gradient method, large systems of algebraic equations, implicit schemes, continuum mechanics, robustness.

DOI: https://doi.org/10.31857/S004446690002000-1

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English version:
Computational Mathematics and Mathematical Physics, 2018, 58:8, 1247–1258

Bibliographic databases:

UDC: 519.63
Received: 05.03.2018

Citation: N. G. Burago, I. S. Nikitin, “Matrix-free conjugate gradient implementation of implicit schemes”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 50–61; Comput. Math. Math. Phys., 58:8 (2018), 1247–1258

Citation in format AMSBIB
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\paper Matrix-free conjugate gradient implementation of implicit schemes
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\pages 50--61
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\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 8
\pages 1247--1258
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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