Multipoint meshless FD schemes applied to nonlinear and multiscale analysis
Authors:
- Irena Jaworska
Abstract
The paper presents computational schemes of the multipoint meshless method – the numerical modeling tool that allows accurate and effective solving of boundary value problems. The main advantage of the multipoint general version is its generality – the basic relations of derivatives from the unknown function depend on the domain discretization only and are independent of the type of problem being solved. This feature allows to divide the multipoint computational strategy into two stages and is advantageous from the calculation efficiency point of view. The multipoint method algorithms applied to such engineering problems as numerical homogenization of heterogeneous materials and nonlinear analysis are developed and briefly presented. The paper is illustrated by several examples of the multipoint numerical analysis.
- Record ID
- CUT02d3cd68df5a47d3b96581ee96172885
- Publication categories
- ; ;
- Author
- Pages
- 55-68
- Other elements of collation
- rys.; schem.; wykr.; Bibliogr. 18 poz.; Oznaczenie streszczenia - Abstr.
- Substantive notes
- Data wyd. wg daty cop.
- Punktacja MNiSW/MEiN (rozdział) - 20
- Book
- Groen Derek, Derek Groen Mulatier Clélia de, Clélia de Mulatier Paszynski Maciej Maciej Paszynski [et al.] (eds.): Computational Science – ICCS 2022 : 22nd International Conference, London, UK, June 21-23, 2022 : proceedings. Pt. 4, Lecture Notes In Computer Science, no. 13353, 2022, Cham, Springer, Springer, 792 p., ISBN 978-3-031-08760-8. DOI:10.1007/978-3-031-08760-8 Opening in a new tab
- Keywords in English
- meshless FDM, higher order approximation, multipoint method, homogenization, nonlinear analysis, elastic-plastic problem
- ASJC Classification
- ;
- DOI
- DOI:10.1007/978-3-031-08760-8_5 Opening in a new tab
- URL
- https://link.springer.com/chapter/10.1007/978-3-031-08760-8_5 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 140
- Score source
- conferenceList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus, CORE
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT02d3cd68df5a47d3b96581ee96172885/
- URN
urn:pkr-prod:CUT02d3cd68df5a47d3b96581ee96172885
* 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.