Simultaneous Approximation of Functions of two Variables and their Derivatives by Bilinear Interpolation Splines

2020 ◽  
Vol 246 (6) ◽  
pp. 800-811
Author(s):  
M. Sh. Shabozov ◽  
U. N. Zevarshoev
2017 ◽  
Vol 53 (3) ◽  
pp. 426-431 ◽  
Author(s):  
P. S. Malachivskyy ◽  
Ya. N. Matviychuk ◽  
Ya. V. Pizyur ◽  
R. P. Malachivskyi

Author(s):  
Viktor Karpilovsky

This paper proposes a method for creating finite elements with simultaneous approximation of functions corresponding to displacements and rotations. New triangular and quadrangular finite elements have been created, which can have additional nodes on the sides. No locking effect is observed for all the created elements. All created elements retain the existing symmetry of the design models. The results of numerical experiments are presented.


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