Moment method with isoparametric elements for three-dimensional anisotropic scatterers

1989 ◽  
Vol 77 (5) ◽  
pp. 750-760 ◽  
Author(s):  
R.D. Graglia ◽  
P.L.E. Uslenghi ◽  
R.S. Zich
Author(s):  
Mohammad Rezaiee-Pajand ◽  
Arash Karimipour

The finite element method is a powerful tool for solving most of the structural problems. This technique has been used extensively, since the complexity of the elastic field equations does not allow the specialist to find analytical solutions, especially for the three-dimensional structures. It is well-known that the finite element formulation yields the approximate stress responses. To remedy this defect, the Airy stress function is utilized in this study. The stress function formulation leads to a valid solution since it satisfies equilibrium and compatibility equations simultaneously. Two cuboid isoparametric elements are formulated for solving three-dimensional elastic structures. To demonstrate the performance of the proposed technique, various benchmark problems are analyzed. The errors between the exact, displacement-based finite element and recommended scheme solution are also calculated. All the obtained outcomes show the good merit of the presented new elements.


The Analyst ◽  
2015 ◽  
Vol 140 (2) ◽  
pp. 630-636 ◽  
Author(s):  
Bao Qiong Li ◽  
Jing Chen ◽  
Jiao Jiao Li ◽  
Xue Wang ◽  
Hong Lin Zhai

A Tchebichef moment method was proposed and used to successfully quantify four compounds based on 3D HPLC-PAD spectra.


Talanta ◽  
2016 ◽  
Vol 161 ◽  
pp. 99-104 ◽  
Author(s):  
Jing Chen ◽  
Bao Qiong Li ◽  
Min Li Xu ◽  
Xue Wang ◽  
Yu Hong Jing ◽  
...  

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