| Инд. авторы: | Shapeev V., Belyaev V., Golushko S., Idimeshev S. |
| Заглавие: | New Possibilities and Applications of the Least Squares Collocation Method |
| Библ. ссылка: | Shapeev V., Belyaev V., Golushko S., Idimeshev S. New Possibilities and Applications of the Least Squares Collocation Method // EPJ Web of Conferences. - 2018. - Vol.173. - Art.01012. - ISBN 9782759890347. - ISSN 2101-6275. |
| Внешние системы: | DOI: 10.1051/epjconf/201817301012; РИНЦ: 35517755; SCOPUS: 2-s2.0-85042359962; WoS: 000431845300012; |
| Реферат: | eng: 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. © 2018 The Authors, published by EDP Sciences. |
| Издано: | 2018 |
| Физ. характеристика: | 01012 |
| Конференция: | Название: 9th International Conference on Mathematical Modeling and Computational Physics Аббревиатура: MMCP-2017 Даты проведения: 2017-07-03 - 2017-07-07 |
| Цитирование: | 1. A.G. Sleptsov, Modelirovanie v mekhanike 5 (22), 2, 101-126 (1991) 2. V.I. Isaev and V.P. Shapeev, Comput. Math. and Math. Phys. 50, 1758-1770 (2010) 3. W. Cheney, A Course in Approximation Theory (W. Light Brooks, Cole, 2000) 360 pp. 4. J.N. Reddy, Mechanics of Laminated Composite Plates and Shells (CRC Press, 2004) 856 pp. 5. E.I. Grigoluk and T.M. Kulikov, Multilayered Reinforced Shells. Design of Pneumatic Tires (Mashinostroyenie, Moscow, 1988) 287 pp. 6. N. Pagano, Composite Materials 4, 20-34 (1970) 7. S.K. Golushko, S.V. Idimeshev, and V.P. Shapeev, Computational technologies 19, 5, 24-36 (2014) 8. S.K. Golushko et al., in MIT-2016, 299-311 (Proceedings, Vrnjacka Banja, Serbia-Budva, 2017) 9. V.P. Shapeev and V. A Belyaev, Computational technologies 21, 5, 95-110 (2016) 10. V.A. Belyaev and V.P. Shapeev, Computational technologies 22, 4, 21 (2017) 11. J.W. Demmel, Applied numerical linear algebra (Philadelphia, PA, USA, 1997) 416 pp. 12. S.P. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, 2 ed. (McGraw-Hill, New York, 1959) 580 pp. |
