Localization of solution of the problem of two-dimensional theory of elasticity with the use of b-spline discrete-continual finite element method

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. © 2021, ASV Publishing House. All rights reserved.

Authors
Mozgaleva M.L.5 , Akimov P.A. 1, 2, 3, 4 , Kaytukov T.B.5
Journal
International Journal for Computational Civil and Structural Engineering
Publisher
Общество с ограниченной ответственностью Издательство АСВ
Number of issue
2
Language
English
Pages
83-104
Status
Published
Link
External link
DOI
10.22337/2587-9618-2021-17-2-83-104
Volume
17
Year
2021
Organizations
  • 1 Russian Academy of Architecture and Construction Sciences, National Research Moscow State University of Civil Engineering, Russian Federation
  • 2 Department of Architecture and Construction, Peoples’ Friendship University of Russia, Russian Federation
  • 3 Department of Structural Mechanics, Tomsk State University of Architecture and Building, Russian Federation
  • 4 Russian Academy of Architecture and Construction Sciences, 26, Yaroslavskoe Shosse, Moscow, 129337, Russian Federation
  • 5 Department of Applied Mathematics, National Research Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow, 129337, Russian Federation
Keywords
B-spline; B-spline discrete-continual finite element method; Discrete-continual finite element method; Finite element method; Localization; Numerical solution; Structural analysis; Two-dimensional theory of elasticity; Wavelet-based discrete-continual finite element method
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/77151/
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