scholarly journals On the simultaneous approximation of functions and their derivatives by Chebyshev polynomials orthogonal on uniform grid

2015 ◽  
pp. 74-117
Author(s):  
Idris Sharapudinov ◽  
Timur Sharapudinov ◽  
◽  
Keyword(s):  
Chebyshev Polynomials ◽  
Simultaneous Approximation ◽  
Uniform Grid ◽  
Approximation Of Functions

scholarly journals FINITE ELEMENTS FOR THE ANALYSIS OF REISSNE-RMINDLIN PLATES WITH JOINT INTERPOLATION OF DISPLACEMENTS AND ROTATIONS (JIDR)

2021 ◽  
Vol 17 (3) ◽  
pp. 48-62
Author(s):  
Viktor Karpilovsky
Keyword(s):  
Finite Elements ◽  
Numerical Experiments ◽  
Simultaneous Approximation ◽  
Approximation Of Functions ◽  
Design Models ◽  
Locking Effect

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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