LOCAL NUMERICAL SOLUTION OF BOUNDARY PROBLEMS  OF STRUCTURAL MECHANICS WITH THE USE OF  HYBRID DISCRETE WAVELET BASIS

Marina L. Mozgaleva; Pavel A. Akimov; Dmitry F. Semin

doi:10.22337/2587-9618-2018-14-1-113-125

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Published: Mar 30, 2018

DOI: https://doi.org/10.22337/2587-9618-2018-14-1-113-125

Keywords:

wo-grid method, boundary problem, wavelet analysis, discrete wavelet basis, numerical solution,, approximation

Marina L. Mozgaleva

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Pavel A. Akimov

Russian Academy of Architecture and Construction Sciences, Moscow, RUSSIA

Dmitry F. Semin

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Abstract

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.

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Mozgaleva, M. L., Akimov, P. A., & Semin, D. F. (2018). LOCAL NUMERICAL SOLUTION OF BOUNDARY PROBLEMS OF STRUCTURAL MECHANICS WITH THE USE OF HYBRID DISCRETE WAVELET BASIS. International Journal for Computational Civil and Structural Engineering, 14(1), 113-125. https://doi.org/10.22337/2587-9618-2018-14-1-113-125

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Vol. 14 No. 1 (2018): International Journal for Computational Civil and Structural Engineering

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