Localization of solution of the problem of isotropic plate analysis with the use of B-spline discrete-continual finite element method

Localization of solution of the problem of isotropic plate analysis 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.1 , Akimov P.A. 1, 2, 3, 4 , Kaytukov T.B.1
Publisher
Общество с ограниченной ответственностью Издательство АСВ
Number of issue
1
Language
English
Pages
55-74
Status
Published
Volume
17
Year
2021
Organizations
  • 1 National Research Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow, 129337, Russian Federation
  • 2 Tomsk State University of Architecture and Civil Engineering, Tomsk, Russian Federation
  • 3 Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 4 Russian Academy of Architecture and Construction Sciences, Moscow, Russian Federation
Keywords
B-spline; B-spline discrete-continual finite element method; Discrete-continual finite element method; Finite element method; Isotropic plate; Localization; Numerical solution; Plate analysis; Wavelet-based discrete-continual finite element method
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