Details
| Original language | English |
|---|---|
| Article number | 806142 |
| Journal | Mathematical Problems in Engineering |
| Volume | 2014 |
| Publication status | Published - 23 Jan 2014 |
| Externally published | Yes |
Abstract
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.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Engineering(all)
- General Engineering
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In: Mathematical Problems in Engineering, Vol. 2014, 806142, 23.01.2014.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A meshless local petrov-galerkin shepard and least-squares method based on duo nodal supports
AU - Zhuang, Xiaoying
AU - Cai, Yongchang
PY - 2014/1/23
Y1 - 2014/1/23
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84893819852&partnerID=8YFLogxK
U2 - 10.1155/2014/806142
DO - 10.1155/2014/806142
M3 - Article
AN - SCOPUS:84893819852
VL - 2014
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
SN - 1024-123X
M1 - 806142
ER -