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Application of polynomial tensor interpolation for technical tests

Ciekot Anita, Biernat Grzegorz, Frączek Tadeusz

Journal of Applied Mathematics and Computational Mechanics

2021

Vol. 20, nr 1

17--24

The main aim of this paper is a new formula of tensor interpolation by the polynomial of two variables. The formulas for interpolating polynomial coefficients are obtained using the Kronecker tensor product of matrices. The mathematical model for the diffusion process is presented. This paper is focused on determining the optimal parameters for this process by polynomial tensor interpolation of the obtained research results.

Polynomial interpolation of the obtained depth of nitrogen diffusion on the surface of the plasma nitrided X5CrNi18-10 austenitic steel

Ogórek M., Biernat G., Frączek T., Knapiński M.

Journal of Applied Mathematics and Computational Mechanics

2015

Vol. 14, nr 3

79--85

In the paper the polynomial tensor interpolation of the obtained results of the nitrogen diffusion depth on the surface of austenitic steel type 304 is presented.