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

[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.

[发布机构] 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

[效力级别] 计算机科学

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