МЕТОД НЬЮТОНА - КАНТОРОВИЧА В ЗАДАЧЕ ОБ ОПРЕДЕЛЕНИИ НЕЕДИНСТВЕННЫХ РЕШЕНИЙ УРАВНЕНИЙ РАВНОВЕСИЯ ДИСКРЕТНЫХ ГРАДИЕНТНЫХ МЕХАНИЧЕСКИХ СИСТЕМ

Translated title of the contribution: Newton-Kantorovich method in the problem of finding nonunique solutions of equilibrium equations for discrete gradient mechanical systems

Research output: Contribution to journalArticle

Abstract

An algorithm of Newton-Kantorovich method's application for finding solutions (including nonunique solutions) of nonlinear equilibrium equations in discrete mechanical systems with nonconvex potential function is suggested. The algorithm is applied for solving the problem of finding equilibrium parameters of the mechanical system that implements a triaxial stretching of an elementary cube made of a nonlinear material.
Translated title of the contributionNewton-Kantorovich method in the problem of finding nonunique solutions of equilibrium equations for discrete gradient mechanical systems
Original languageRussian
Pages (from-to)244-252
Number of pages9
JournalТруды института математики и механики УрО РАН
Volume19
Issue number1
Publication statusPublished - 2013

GRNTI

  • 29.19.00

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  • VAK List

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