On nonlinear analysis by the multipoint meshless FDM
Authors:
- Irena Jaworska,
- Janusz Orkisz
Abstract
The main objective of this paper is to present an attempt of an application of the recently developed higher order multipoint meshless FDM in the analysis of nonlinear problems. The multipoint approach provides a higher order approximation and improves the precision of the solution. In addition to improved solution quality, the essential feature of the multipoint approach is its potentially wide ranging applicability. This is possible, because in both the multipoint and standard meshless FDM, the difference formulas are generated at once for the full set of derivatives. Using them, we may easily compose any required FD operator. It is worth mentioning that all derivative operators depend on the domain discretization rather than on the specific problem being analysed. Therefore, the solution of a wide class of problems including nonlinear ones, may be obtained with this method. The numerical algorithm of the multipoint method for nonlinear analysis is presented in this paper. Results of selected engineering benchmark problems – deflection of the ideal membrane and analysis of large deflection of plates using the von Karman theory – are considered.
- Record ID
- CUTf929cf4c00e345e192742fe7b54e0136
- Publication categories
- ;
- Author
- Journal series
- Engineering Analysis with Boundary Elements, ISSN 0955-7997, e-ISSN 1873-197X
- Issue year
- 2018
- Vol
- 92
- Pages
- 231-243
- Other elements of collation
- rys.; schem.; wykr.; Bibliografia (na s.) - 242-243; Bibliografia (liczba pozycji) - 23; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2018-01-04; Numeracja w czasopiśmie - Vol. 92
- Keywords in English
- nonlinear analysis, meshless finite difference method, higher order approximation, multipoint method
- DOI
- DOI:10.1016/j.enganabound.2017.11.018 Opening in a new tab
- URL
- https://doi.org/10.1016/j.enganabound.2017.11.018 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 35
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTf929cf4c00e345e192742fe7b54e0136/
- URN
urn:pkr-prod:CUTf929cf4c00e345e192742fe7b54e0136
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.