CONSTRUCTION OF BASIS FUNCTIONS FOR FINITE ELEMENT METHODS
Doniyorov N. N.Asia International University, 74, Gijduvon str., Bukhara 200114, Uzbekistan
Zenodo (CERN European Organization for Nuclear Research)repository2026
ABI
Abstract
In this work, we study the problem of constructing basis functions for finite element methods. In this case, we use the coefficients of the algebraic-trigonometric optimal interpolation formula constructed using the Sobolev method in the Hilbert space of differentiable functions. In addition, we will prove the theorem expressing the main property of these local basis functions.
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