Details
| Original language | English |
|---|---|
| Pages (from-to) | 455-472 |
| Number of pages | 18 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 152 |
| Early online date | 27 Apr 2023 |
| Publication status | Published - Jul 2023 |
Abstract
In the study, a method is proposed and developed for solid analysis that is a hybrid of the radial basis function and the finite element method (RBF-FEM). Based on the finite nodes, the method employs the radial basis functions to produce the shape functions with simplicity, especially when increasing the element node number. The formulation and applications of the method in the analysis of solids are examined. Several numerical examples are carried out to analyze the convergence, accuracy, and computational time cost. Its comeouts are then compared with that by the finite element method. The study also shows the factors that affect the accuracy of the method, such as the radial basis function types, radial basis function shape parameter, node number, and node position in an element. It is shown that the method quickly produces better results with large-node-number elements (seven and eight nodes) in comparison to the conventional numerical method. Discussion on the method and the extensibility of the approach are addressed in the conclusion.
Keywords
- Finite element method, Numerical method, Radial basis function, Solid mechanics
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Engineering Analysis with Boundary Elements, Vol. 152, 07.2023, p. 455-472.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Radial basis function based finite element method
T2 - Formulation and applications
AU - KIEN, Dung Nguyen
AU - ZHUANG, Xiaoying
PY - 2023/7
Y1 - 2023/7
N2 - In the study, a method is proposed and developed for solid analysis that is a hybrid of the radial basis function and the finite element method (RBF-FEM). Based on the finite nodes, the method employs the radial basis functions to produce the shape functions with simplicity, especially when increasing the element node number. The formulation and applications of the method in the analysis of solids are examined. Several numerical examples are carried out to analyze the convergence, accuracy, and computational time cost. Its comeouts are then compared with that by the finite element method. The study also shows the factors that affect the accuracy of the method, such as the radial basis function types, radial basis function shape parameter, node number, and node position in an element. It is shown that the method quickly produces better results with large-node-number elements (seven and eight nodes) in comparison to the conventional numerical method. Discussion on the method and the extensibility of the approach are addressed in the conclusion.
AB - In the study, a method is proposed and developed for solid analysis that is a hybrid of the radial basis function and the finite element method (RBF-FEM). Based on the finite nodes, the method employs the radial basis functions to produce the shape functions with simplicity, especially when increasing the element node number. The formulation and applications of the method in the analysis of solids are examined. Several numerical examples are carried out to analyze the convergence, accuracy, and computational time cost. Its comeouts are then compared with that by the finite element method. The study also shows the factors that affect the accuracy of the method, such as the radial basis function types, radial basis function shape parameter, node number, and node position in an element. It is shown that the method quickly produces better results with large-node-number elements (seven and eight nodes) in comparison to the conventional numerical method. Discussion on the method and the extensibility of the approach are addressed in the conclusion.
KW - Finite element method
KW - Numerical method
KW - Radial basis function
KW - Solid mechanics
UR - http://www.scopus.com/inward/record.url?scp=85153485270&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2023.04.014
DO - 10.1016/j.enganabound.2023.04.014
M3 - Article
AN - SCOPUS:85153485270
VL - 152
SP - 455
EP - 472
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -