Proceedings of the International Conference on Computer Information Systems and Industrial Applications

Advanced Wavelet-Based Multilevel Discrete-Continual Finite Element Method for Three-Dimensional Local Structural Analysis

Authors
P.A Akimov, M.L Mozgaleva, M. Aslami, O.A Negrozov
Corresponding Author
P.A Akimov
Available Online June 2015.
DOI
10.2991/cisia-15.2015.194How to use a DOI?
Keywords
advanced wavelet-based discrete-continual finite element method; local structural analysis, multipoint boundary problem; three-dimensional problem; operational formulation; discrete-continual formulation; averaging, reduction; Haar basis; localization with respect to each degree of freedom
Abstract

This paper is devoted to advanced wavelet-based discrete-continual finite element method of local structural analysis. Structures with regular (in particular, constant or piecewise constant) physical and geometrical parameters along so-called “basic” direction are under consideration. High-accuracy solution of the corresponding problems at all points of the model is not required normally, it is necessary to find only the most accurate solution in some pre-known local domains. Wavelet analysis is a powerful and effective tool for corresponding researches. Initial continual and discrete-continual formulations of multipoint boundary problem of three-dimensional structural analysis are presented. The last formulation is transformed to corresponding localized one by using the discrete Haar wavelet basis and finally, with the use of averaging and reduction algorithms, the localized and reduced governing equations are obtained. Special algorithm of localization with respect to each degree of freedom is presented.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the International Conference on Computer Information Systems and Industrial Applications
Series
Advances in Computer Science Research
Publication Date
June 2015
ISBN
10.2991/cisia-15.2015.194
ISSN
2352-538X
DOI
10.2991/cisia-15.2015.194How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - P.A Akimov
AU  - M.L Mozgaleva
AU  - M. Aslami
AU  - O.A Negrozov
PY  - 2015/06
DA  - 2015/06
TI  - Advanced Wavelet-Based Multilevel Discrete-Continual Finite Element Method for Three-Dimensional Local Structural Analysis
BT  - Proceedings of the International Conference on Computer Information Systems and Industrial Applications
PB  - Atlantis Press
SP  - 713
EP  - 716
SN  - 2352-538X
UR  - https://doi.org/10.2991/cisia-15.2015.194
DO  - 10.2991/cisia-15.2015.194
ID  - Akimov2015/06
ER  -