Open AccessLOCAL NUMERICAL SOLUTION OF BOUNDARY PROBLEMS OF STRUCTURAL MECHANICS WITH THE USE OF HYBRID DISCRETE WAVELET BASIS
Author(s) -
Marina L. Mozgaleva,
Pavel А. Akimov,
Dmitry F. Semin
Publication year - 2018
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2018-14-1-113-125
Subject(s) - basis (linear algebra) , wavelet , basis function , grid , boundary (topology) , mathematics , computer science , mathematical analysis , geometry , artificial intelligence
The distinctive paper is devoted to the two-grid method of structural analysis based on hybrid discrete wavelet basis (in particular, the simplest one-dimensional problems are under consideration). Approximations of he mesh functions in this basis, general idea of the two-grid method and one-dimensional numerical example of beam analysis are presented.