Multilevel Wavelet-based Numerical Method of Local Structural Analysis for Three-dimensional Problem

High-accuracy solution of three-dimensional problems of structural analysis is normally required in some pre-known domains (regions of structure with the risk of significant stresses that could potentially lead to the destruction, regions subjected to specific operational requirements). This paper is devoted to wavelet-based numerical method of local analysis of three-dimensional structures. Initial discrete operational and variational formulation of the considering problem and corresponding formulations with the use of discrete Haar basis are presented. Due to special algorithms of averaging within multigrid approach, correct reduction of the problem is presented.