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A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures
Joint Authors
Li, Sen
Yi, Shichao
Wang, Wei
Yao, Lin-Quan
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A meshless radial basis function based on partition of unity method (RBF-PUM) is proposed to analyse static problems of piezoelectric structures.
The methods of radial basis functions (RBFs) possess some merits: the shape functions have high order continuity; h-adaptivity is simpler than mesh-based methods; the shape functions are easily implemented in high dimensional space.
The partition of unity method (PUM) easily constructs local approximation.
The character of local approximate space can be varied and regarded as p-adaptivity.
Considering the good properties of the two methods, the RBFs are used for local approximation and the local supported weight functions are used in the partition of unity method.
The system equations of the RBF-PUM are derived using the variational principle.
The field variables are approximated using the RBF-PUM shape functions which inherit all the advantages of the RBF shape functions such as the delta function property.
The boundary conditions can be implemented easily.
Numerical examples of piezoelectric structures are investigated to illustrate the efficiency of the proposed method and the obtained results are compared with analytical solutions and available numerical solutions.
The behaviors of some parameters that probably influenced numerical results are also studied in detail.
American Psychological Association (APA)
Li, Sen& Yao, Lin-Quan& Yi, Shichao& Wang, Wei. 2016. A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1112595
Modern Language Association (MLA)
Li, Sen…[et al.]. A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures. Mathematical Problems in Engineering No. 2016 (2016), pp.1-17.
https://search.emarefa.net/detail/BIM-1112595
American Medical Association (AMA)
Li, Sen& Yao, Lin-Quan& Yi, Shichao& Wang, Wei. A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1112595
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112595