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

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. © Published under licence by IOP Publishing Ltd.

Authors
Kaytukov T.B.1, 2 , Mozgaleva M.L.3 , Akimov P.A. 1, 4, 5, 6
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/456/1/012113
Number
012113
Volume
456
Year
2018
Organizations
  • 1 Russian Academy of Architecture and Construction Sciences, 24, ul. Bolshaya Dmitrovka, Moscow, 107031, Russian Federation
  • 2 Central Institute for Research and Design, Ministry of Construction and Housing and Communal Services of the Russian Federation, 29, Vernadskogo av., Moscow, 119331, Russian Federation
  • 3 Department of Applied Mathematics, National Research Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow, 129337, Russian Federation
  • 4 Research and Development Centre StaDyO, 18, 3ya Ulitsa Yamskogo Polya, Moscow, 125040, Russian Federation
  • 5 Department of Applied Mathematics, Tomsk State University of Architecture and Building, 2, Solyanaya sq., Tomsk, 634003, Russian Federation
  • 6 Department of Civil Engineering, Peoples' Friendship University of Russia, 6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation
Keywords
Numerical methods; Sailing vessels; Boundary problems; Double layer potential; Laplace operator; Layer potentials; Numerical solution; Structural mechanics; Systems of linear equations; Theoretical foundations; Boundary element method
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38293/
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