On the error analysis of the meshless FDM and its multipoint extension
Authors:
- Irena Jaworska
Abstract
The error analysis for the meshless methods, especially for the Meshless Finite Difference Method (MFDM), is discussed in the paper. Both a priori and a posteriori error estimations are considered. Experimental order of convergence confirms the theoretically developed a priori error bound. The higher order extension of the MFDM – the multipoint approach may be used as a source of the improved reference solution, instead of the true analytical one, for the global and local error estimation of the solution and residual errors. Several types of a posteriori error estimators are described. A variety of performed tests confirm high quality of a posteriori error estimation based on the multipoint MFDM.
- Record ID
- CUT8adb2c2fc42a46b497f3b9d0a8767dd3
- Publication categories
- ; ;
- Author
- Pages
- 040008-1 – 040008-7
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 040008-6 – 040008-7; Bibliografia (liczba pozycji) - 22; Oznaczenie streszczenia - Abstr.
- Book
- Podgórski Jerzy, Jerzy Podgórski Błazik-Borowa Ewa, Ewa Błazik-Borowa Bęc Jarosław Jarosław Bęc [et al.] (eds.): Computer Methods in Mechanics (CMM2017): proceedings of the 22nd International Conference on Computer Methods in Mechanics, AIP Conference Proceedings, no. 1922, 2018, Melville, American Institute of Physics, AIP Publishing, ISBN 978-0-7354-1614-7
- Keywords in English
- error analysis, a priori error, a posteriori error, meshless finite difference method, multipoint mehsless method
- DOI
- DOI:10.1063/1.5019053 Opening in a new tab
- URL
- http://aip.scitation.org/doi/abs/10.1063/1.5019053 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT8adb2c2fc42a46b497f3b9d0a8767dd3/
- URN
urn:pkr-prod:CUT8adb2c2fc42a46b497f3b9d0a8767dd3
* 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.