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

7th International Symposium Actual Problems of Computational Simulation in Civil Engineering

土木建筑工程;计算机科学

Mozgaleva, M.L.^1 ; Akimov, P.A.^2,3,4,5

Department of Applied Mathematics, National Research Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow

129337, Russia^1

Russian Academy of Architecture and Construction Sciences, 24, ul. Bolshaya Dmitrovka, Moscow

107031, Russia^2

Research and Development Centre StaDyO, 18, 3ya Ulitsa Yamskogo Polya, Moscow

125040, Russia^3

Department of Applied Mathematics, Tomsk State University of Architecture and Building, 2, Solyanaya sq., Tomsk

634003, Russia^4

Department of Architecture and Civil Engineering, Peoples' Friendship University of Russia, 6, Miklukho-Maklaya str., Moscow

117198, Russia^5

关键词: Multi-level analysis;    Multilevel method;    Numerical solution;    Special algorithms;    Stress strain state;    Technical applications;    Three-dimensional theory;    Variational formulation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/456/1/012119/pdf
DOI  :  10.1088/1757-899X/456/1/012119

来源: IOP

【 摘 要 】

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.