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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