Projection-iterative modification of the method of local variations for problems with a quadratic functional

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI:10.1016/j.jappmathmech.2016.06.005

E.L. Hart, V.S. Hudramovich

引用次数: 12

Abstract

A projection-iterative scheme of realization of the method of local variations for solving variational problems with a quadratic functional is proposed. The convergence of the proposed scheme to the use of functional analysis is investigated. For the case of solving problems of the local stability of a spherical shell, the practical effectiveness of the proposed modification of the method of local variations is shown.

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二次泛函问题局部变分法的投影-迭代修正

提出了一种求解二次泛函变分问题的局部变分法的投影-迭代实现方案。研究了该方案对泛函分析的收敛性。以求解球壳局部稳定性问题为例，说明了对局部变分法的改进方法的实际有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.