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New Possibilities and Applications of the Least Squares Collocation Method. / Shapeev, Vasiliy; Belyaev, Vasiliy; Golushko, Sergey et al.

Mathematical Modeling and Computational Physics 2017, MMCP 2017. ed. / G Adam; J Busa; M Hnatic; D Podgainy. Vol. 173 EDP Sciences, 2018. 01012 (EPJ Web of Conferences; Vol. 173).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Shapeev, V, Belyaev, V, Golushko, S & Idimeshev, S 2018, New Possibilities and Applications of the Least Squares Collocation Method. in G Adam, J Busa, M Hnatic & D Podgainy (eds), Mathematical Modeling and Computational Physics 2017, MMCP 2017. vol. 173, 01012, EPJ Web of Conferences, vol. 173, EDP Sciences, 9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017, Dubna, Russian Federation, 03.07.2017. https://doi.org/10.1051/epjconf/201817301012

APA

Shapeev, V., Belyaev, V., Golushko, S., & Idimeshev, S. (2018). New Possibilities and Applications of the Least Squares Collocation Method. In G. Adam, J. Busa, M. Hnatic, & D. Podgainy (Eds.), Mathematical Modeling and Computational Physics 2017, MMCP 2017 (Vol. 173). [01012] (EPJ Web of Conferences; Vol. 173). EDP Sciences. https://doi.org/10.1051/epjconf/201817301012

Vancouver

Shapeev V, Belyaev V, Golushko S, Idimeshev S. New Possibilities and Applications of the Least Squares Collocation Method. In Adam G, Busa J, Hnatic M, Podgainy D, editors, Mathematical Modeling and Computational Physics 2017, MMCP 2017. Vol. 173. EDP Sciences. 2018. 01012. (EPJ Web of Conferences). doi: 10.1051/epjconf/201817301012

Author

Shapeev, Vasiliy ; Belyaev, Vasiliy ; Golushko, Sergey et al. / New Possibilities and Applications of the Least Squares Collocation Method. Mathematical Modeling and Computational Physics 2017, MMCP 2017. editor / G Adam ; J Busa ; M Hnatic ; D Podgainy. Vol. 173 EDP Sciences, 2018. (EPJ Web of Conferences).

BibTeX

@inproceedings{a07df3bad890475db86314ab09db8c23,
title = "New Possibilities and Applications of the Least Squares Collocation Method",
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.",
author = "Vasiliy Shapeev and Vasiliy Belyaev and Sergey Golushko and Semyon Idimeshev",
year = "2018",
month = feb,
day = "14",
doi = "10.1051/epjconf/201817301012",
language = "English",
volume = "173",
series = "EPJ Web of Conferences",
publisher = "EDP Sciences",
editor = "G Adam and J Busa and M Hnatic and D Podgainy",
booktitle = "Mathematical Modeling and Computational Physics 2017, MMCP 2017",
address = "France",
note = "9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017 ; Conference date: 03-07-2017 Through 07-07-2017",

}

RIS

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