Matrix-Free Conjugate Gradient Implementation of Implicit Schemes


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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.

About the authors

N. G. Burago

Institute for Problems of Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: buragong@yandex.ru
Russian Federation, Moscow, 119526

I. S. Nikitin

Institute for Computer-Aided Design, Russian Academy of Sciences; Moscow Aviation Institute (National Research University)

Author for correspondence.
Email: i_nikitin@list.ru
Russian Federation, Moscow, 123056; Moscow, 125080

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