Numerical Methods for Black Box Software


  • S.I. Martynenko Central Institute of Aviation Motors



parallel and high performance computing, boundary value problems, multigrid methods, black box software


A number of requirements are formulated to the numerical algorithms for black box software intended for mathematical modeling in continuum mechanics. An analysis of applied properties of the classical multigrid methods and robust multigrid technique in the framework of "robustness-efficiency-parallelism"problem is performed. It is shown that a close-to-optimal complexit y with the least number of problem-dependent components and high parallel efficiency can be achieved with the robust multigrid technique on globally structured grids. Application of unstructured grids requires the accurate definition of two problem-dependent components (intergrid operators) that strongly affect on the complexity of an algorithm.

Author Biography

S.I. Martynenko

Central Institute of Aviation Motors
• Senior Researcher


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How to Cite

Мартыненко С.И. Numerical Methods for Black Box Software // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2019. 20. 147-169. doi 10.26089/NumMet.v20r215



Section 1. Numerical methods and applications

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