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 bo...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering Vol. 456; no. 1; pp. 12113 - 12118
Main Authors: Kaytukov, T B, Mozgaleva, M L, Akimov, P A
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 31.12.2018
Subjects:
Boundary element method
Dirichlet problem
Linear equations
Mechanics (physics)
ISSN:1757-8981, 1757-899X, 1757-899X
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/456/1/012113