Domain-type RBF collocation methods for biharmonic problems
Authors:
- Artur Krowiak
Abstract
In this paper some meshless, domain-type discretization techniques are investigated in the context of problems modeled by biharmonic equations. These numerical methods use interpolant composed of radial basis functions (RBFs) as well as collocation technique to discretize a continuous mathematical model. To overcome a problem that appears for biharmonic equations, where two boundary conditions are associated with a boundary node, at which typically only one degree of freedom exists, some modifications of the methods are proposed. They are validated by a benchmark problem of bending and free vibration of Kirchhoff plates. Special attention is paid to estimate proper value of the shape parameter included in radial functions to ensure stability of the solution process and high accuracy. The results obtained show the usefulness of the proposed approaches.
- Record ID
- CUTea25f18d7a1d4df28c58edb2683c4eaf
- Publication categories
- ;
- Author
- Journal series
- International Journal of Computational Methods, ISSN 0219-8762, e-ISSN 1793-6969
- Issue year
- 2018
- Vol
- 15
- No
- 8
- Pages
- [1-20]
- Article number
- Article number 1850078
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 18-20; Oznaczenie streszczenia - Streszcz. ang.; Numeracja w czasopiśmie - Vol. 15, No. 8
- Keywords in English
- radial basis functions, collocation technique, biharmonic equation, multiple boundary conditions, Hermite interpolation
- DOI
- DOI:10.1142/S0219876218500780 Opening in a new tab
- URL
- https://www.worldscientific.com/doi/abs/10.1142/S0219876218500780 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 25
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTea25f18d7a1d4df28c58edb2683c4eaf/
- URN
urn:pkr-prod:CUTea25f18d7a1d4df28c58edb2683c4eaf
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