| Issue |
EPJ Web Conf.
Volume 173, 2018
Mathematical Modeling and Computational Physics 2017 (MMCP 2017)
|
|
|---|---|---|
| Article Number | 01012 | |
| Number of page(s) | 8 | |
| Section | Plenary and Invited Lectures | |
| DOI | https://doi.org/10.1051/epjconf/201817301012 | |
| Published online | 14 February 2018 | |
https://doi.org/10.1051/epjconf/201817301012
New Possibilities and Applications of the Least Squares Collocation Method
1 Institute of Theoretical and Applied Mechanics of SB RAS
2 Novosibirsk State University
3 Institute of Computational Technologies of SB RAS
* e-mail: vshapeev@gmail.com
** e-mail: belyaevasily@mail.ru
*** e-mail: s.k.golushko@gmail.com
**** e-mail: idimeshev@gmail.com
Published online: 14 February 2018
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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