The infrared thermography and the finite element method applied to the characterization of a weld quality

Author(s):  
Abderrahman Eddazi ◽  
Sougrati Belattar
2020 ◽  
Vol 46 (5) ◽  
Author(s):  
Michael S. Floater ◽  
Kaibo Hu

Abstract We consider spline functions over simplicial meshes in $\mathbb {R}^{n}$ ℝ n . We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are infinitely smooth. Such splines can have extra orders of smoothness at a vertex, a property known as supersmoothness, which plays a role in the construction of multivariate splines and in the finite element method. In this paper, we characterize supersmoothness in terms of the degeneracy of spaces of polynomial splines over the cell of simplices sharing the vertex, and use it to determine the maximal order of supersmoothness of various cell configurations.


2011 ◽  
Author(s):  
B. M. A. Rahman ◽  
H. Tanvir ◽  
N. Kejalakshmy ◽  
A. Quadir ◽  
K. T. V. Grattan

1997 ◽  
Vol 15 (12) ◽  
pp. 2264-2269 ◽  
Author(s):  
M. Rajarajan ◽  
C. Themistos ◽  
B.M.A. Rahman ◽  
K.T.V. Grattan

1999 ◽  
Author(s):  
B. M. A. Rahman ◽  
Muttukrishnan Rajarajan ◽  
Tiparatana Wongcharoen ◽  
Ferdinand A. Katsriku ◽  
Christos Themistos ◽  
...  

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