Construction of Basis Functions for Finite Element Methods in a Hilbert Space

The present work is devoted to construction of the optimal interpolation formula exact for trigonometric functions sin(ωx) and cos(ωx). Here the analytical representations of the coefficients of the optimal interpolation formula in a certain Hilbert space are obtained using the discrete analogue of...

Full description

Bibliographic Details

Published in:	Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Main Authors:	Hayotov, A.R., Doniyorov, N.N.
Format:	Article
Language:	English
Published:	KamGU by Vitus Bering 2024-03-01
Subjects:	basis functions ordinary differential equation boundary value problem finite element method interpolation базисные функции обыкновенное дифференциальное уравнение краевая задача конечный элемент интерполяция
Online Access:	https://krasec.ru/hayotov2024461eng/