A Meshless Local Petrov-Galerkin Shepard and Least-Squares Method Based on Duo Nodal Supports
Joint Authors
Zhuang, Xiaoying
Cai, Yongchang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The meshless Shepard and least-squares (MSLS) interpolation is a newly developed partition of unity- (PU-) based method which removes the difficulties with many other meshless methods such as the lack of the Kronecker delta property.
The MSLS interpolation is efficient to compute and retain compatibility for any basis function used.
In this paper, we extend the MSLS interpolation to the local Petrov-Galerkin weak form and adopt the duo nodal support domain.
In the new formulation, there is no need for employing singular weight functions as is required in the original MSLS and also no need for background mesh for integration.
Numerical examples demonstrate the effectiveness and robustness of the present method.
American Psychological Association (APA)
Zhuang, Xiaoying& Cai, Yongchang. 2014. A Meshless Local Petrov-Galerkin Shepard and Least-Squares Method Based on Duo Nodal Supports. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-499530
Modern Language Association (MLA)
Zhuang, Xiaoying& Cai, Yongchang. A Meshless Local Petrov-Galerkin Shepard and Least-Squares Method Based on Duo Nodal Supports. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-499530
American Medical Association (AMA)
Zhuang, Xiaoying& Cai, Yongchang. A Meshless Local Petrov-Galerkin Shepard and Least-Squares Method Based on Duo Nodal Supports. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-499530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499530