About local numerical solution of boundary problems of elasticity three-dimensional theory

The distinctive paper is devoted to wavelet-based multilevel method of local numerical solution of boundary problems of elasticity three-dimensional theory. As it is known, effective qualitative multilevel analysis of local and structure global stress-strain states is normally required in various technical applications. Operational and variational formulations of the problem (particularly with the use of wavelet (Haar) basis) are presented. Computer-oriented algorithms of fast direct and inverse discrete Haar transforms are described. Due to special algorithms of averaging within corresponding multigrain approach, problem reduction is provided. © Published under licence by IOP Publishing Ltd.

Authors
Mozgaleva M.L.1 , Akimov P.A. 2, 3, 4, 5
Conference proceedings
IOP Conference Series: Materials Science and Engineering
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1757-899X/456/1/012119
Number
012119
Volume
456
Year
2018
Organizations
  • 1 Department of Applied Mathematics, National Research Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow, 129337, Russian Federation
  • 2 Russian Academy of Architecture and Construction Sciences, 24, ul. Bolshaya Dmitrovka, Moscow, 107031, Russian Federation
  • 3 Research and Development Centre StaDyO, 18, 3ya Ulitsa Yamskogo Polya, Moscow, 125040, Russian Federation
  • 4 Department of Applied Mathematics, Tomsk State University of Architecture and Building, 2, Solyanaya sq., Tomsk, 634003, Russian Federation
  • 5 Department of Architecture and Civil Engineering, Peoples' Friendship University of Russia, 6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation
Keywords
Computation theory; Elasticity; Numerical methods; Multi-level analysis; Multilevel method; Numerical solution; Special algorithms; Stress strain state; Technical applications; Three-dimensional theory; Variational formulation; Inverse problems
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38287/
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