Kansa method for problems with multiple boundary conditions
Authors:
- Artur Krowiak
Abstract
In the paper a kind of meshless discretization technique, called the Kansa method, is investigated in the context of problems with multiple boundary conditions. This numerical method uses interpolant composed of radial basis functions as well as collocation technique to discretize differential equations. To overcome the problem that appears for equations with multiple boundary conditions, where more equations should be associated with a boundary node than degrees of freedom that exist at this node, an extension of the method is proposed. The key idea lies in the modification of the interpolant with the use of Hermite formulation. The details of the approach are shown in the paper. Moreover, the special attention is paid to estimate respective value of the shape parameter included in radial functions to ensure stability of the solution process and high accuracy. To illustrate usefulness, accuracy and convergence of the method, it is employed to solve a test problem of the bending Kirchhoff plate.
- Record ID
- CUTd648b8aa8af74d6b88e27506f13442f6
- Publication categories
- ; ;
- Author
- Pages
- 040001-1-040001-7
- Other elements of collation
- rys.; tab.; Bibliografia (na s.) - 040001-7; Bibliografia (liczba pozycji) - 17; 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
- meshless methods, radial basis functions, Kansa method, Hermite interpolation, shape parameter
- DOI
- DOI:10.1063/1.5019046 Opening in a new tab
- URL
- http://aip.scitation.org/doi/10.1063/1.5019046 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/CUTd648b8aa8af74d6b88e27506f13442f6/
- URN
urn:pkr-prod:CUTd648b8aa8af74d6b88e27506f13442f6
* 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.