The least squares collocation method with the integral form of collocation equations for bending analysis of isotropic and orthotropic thin plates

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Abstract

This paper reports the least squares collocation method proposed and implemented for solving boundary value problems for biharmonic-type equations. The solutions of these equations are used to analyze and simulate the bending of isotropic and orthotropic thin plates. To increase the stability of computations by the least squares collocation method it is proposed to integrate collocation equations over the subcells of each cell of a computational grid.

Original languageEnglish
Title of host publicationHigh-Energy Processes in Condensed Matter, HEPCM 2020
Subtitle of host publicationProceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, Dedicated to the 90th Anniversary of the Birth of RI Soloukhin
EditorsVasily M. Fomin
PublisherAmerican Institute of Physics Inc.
Number of pages6
ISBN (Electronic)9780735440180
DOIs
Publication statusPublished - 26 Oct 2020
Event27th Conference on High-Energy Processes in Condensed Matter, HEPCM 2020 - Novosibirsk, Russian Federation
Duration: 29 Jun 20203 Jul 2020

Publication series

NameAIP Conference Proceedings
Volume2288
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference27th Conference on High-Energy Processes in Condensed Matter, HEPCM 2020
CountryRussian Federation
CityNovosibirsk
Period29.06.202003.07.2020

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