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Numerical solution of structural mechanics boundary problems with the use of wavelet-based boundary element method
IOP Conference Series Materials Science and Engineering2018Vol. 456, pp. 012113–012113
Abstract
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.
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