MODELS OF BIQUADRATIC INTERPOLATION
Journal Title: Наукові праці. Серія "Комп’ютерні технології" - Year 2017, Vol 307, Issue 295
Abstract
In this paper the procedure for the constructive reconstruction of functions of two arguments in terms of Lagrange and Serendip polynomials is presented. The family of Serendip and Lagrangian elements is analyzed, finite elements of biquadratic interpolation are shown: Lagrangian model (9 nodes), Serendip model (8 nodes) and Pascal scheme. Based on the Langrange basis, the basis of the Serendip FE is constructed. As a result of calculations, the interpolation polynomial retained the ninth parameter, thanks to which it is possible to control the integral characteristics of the basis functions. The non-node parameter affects the shaping of the surfaces inside the standard element, on the boundaries of the element all models behave identically. The self-starting procedure for modeling alternative bases of biquadratic interpolation is simple and reliable. It allows to eliminate the physical inadequacy of the spectrum of nodal loads of the Serendip elements.
Authors and Affiliations
A. N. Khomchenko, Ie. V. Sidenko
Keywords
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