Open AccessLOCALIZATION OF SOLUTION OF THE PROBLEM OF TWO-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD
Author(s) -
Marina L. Mozgaleva,
Pavel А. Akimov,
Taymuraz B. Kaytukov
Publication year - 2021
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2021-17-2-83-104
Subject(s) - finite element method , spline (mechanical) , mathematics , m spline , elasticity (physics) , mixed finite element method , b spline , extended finite element method , mathematical optimization , mathematical analysis , thin plate spline , spline interpolation , structural engineering , engineering , statistics , materials science , composite material , bilinear interpolation
Localization of solution of the problem of two-dimensional theory of elasticity with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite element method) is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, some actual aspects of construction of normalized basis functions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finite element are described, some information about the numerical implementation and an example of analysis are presented.