New Possibilities and Applications of the Least Squares Collocation Method

Vasiliy Shapeev, Vasiliy Belyaev, Sergey Golushko, Semyon Idimeshev

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

4 Citations (Scopus)

Abstract

Least squares collocation method (LSC) is a versatile numerical method for solving boundary value problems for PDE. The present article demonstrates the abilities of LSC to solve various problems-in particular, calculations of bending of isotropic irregular shaped plates and multi-layered anisotropic plates. In order to achieve higher accuracy, new versions of the method utilize high-degree polynomial spaces. The numerical experiments demonstrate high accuracy of the solutions.

Original languageEnglish
Title of host publicationMathematical Modeling and Computational Physics 2017, MMCP 2017
EditorsG Adam, J Busa, M Hnatic, D Podgainy
PublisherEDP Sciences
Number of pages8
Volume173
ISBN (Electronic)9782759890347
DOIs
Publication statusPublished - 14 Feb 2018
Event9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017 - Dubna, Russian Federation
Duration: 3 Jul 20177 Jul 2017

Publication series

NameEPJ Web of Conferences
PublisherE D P SCIENCES
Volume173
ISSN (Print)2100-014X

Conference

Conference9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017
CountryRussian Federation
CityDubna
Period03.07.201707.07.2017

Fingerprint Dive into the research topics of 'New Possibilities and Applications of the Least Squares Collocation Method'. Together they form a unique fingerprint.

Cite this