Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
New Possibilities and Applications of the Least Squares Collocation Method. / Shapeev, Vasiliy; Belyaev, Vasiliy; Golushko, Sergey и др.
Mathematical Modeling and Computational Physics 2017, MMCP 2017. ред. / G Adam; J Busa; M Hnatic; D Podgainy. Том 173 EDP Sciences, 2018. 01012 (EPJ Web of Conferences; Том 173).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - New Possibilities and Applications of the Least Squares Collocation Method
AU - Shapeev, Vasiliy
AU - Belyaev, Vasiliy
AU - Golushko, Sergey
AU - Idimeshev, Semyon
PY - 2018/2/14
Y1 - 2018/2/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85042359962&partnerID=8YFLogxK
U2 - 10.1051/epjconf/201817301012
DO - 10.1051/epjconf/201817301012
M3 - Conference contribution
AN - SCOPUS:85042359962
VL - 173
T3 - EPJ Web of Conferences
BT - Mathematical Modeling and Computational Physics 2017, MMCP 2017
A2 - Adam, G
A2 - Busa, J
A2 - Hnatic, M
A2 - Podgainy, D
PB - EDP Sciences
T2 - 9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017
Y2 - 3 July 2017 through 7 July 2017
ER -
ID: 10353974