Numerical solution of structural mechanics boundary problems with the use of wavelet-based boundary element method

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

土木建筑工程;计算机科学

Kaytukov, T.B.^1,2 ; Mozgaleva, M.L.^3 ; Akimov, P.A.^1,4,5,6

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

107031, Russia^1

Central Institute for Research and Design, Ministry of Construction and Housing and Communal Services of the Russian Federation, 29, Vernadskogo av., Moscow

119331, Russia^2

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

129337, Russia^3

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

125040, Russia^4

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

634003, Russia^5

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

117198, Russia^6

关键词: Boundary problems;    Double layer potential;    Laplace operator;    Layer potentials;    Numerical solution;    Structural mechanics;    Systems of linear equations;    Theoretical foundations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/456/1/012113/pdf
DOI  :  10.1088/1757-899X/456/1/012113

来源: IOP

【 摘 要 】

The distinctive paper is devoted to theoretical foundations of boundary problems' numerical mechanics solution with the use of wavelet-based boundary element method (BEM). Particularly the simplest boundary problem for Laplace operator is under consideration. Initial continual formulation of boundary problems, simple-layer potential basics and double-layer potential (including their properties), numerical solutions of Dirichlet and Neumann problems (so-called "boundary" systems of linear equations) are presented.