Modified Wavelet-Based Multilevel Discrete-Continual Finite Element Method for Local Structural Analysis - Part 1: Continual and Discrete-Continual Formulations of the Problems

Abstract:

The distinctive paper is devoted to wavelet-based discrete-continual finite element method (WDCFEM) of structural analysis. Two-dimensional and three-dimensional problems of analysis of structures with 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 problems of two-dimensional and three-dimensional structural analysis are presented.

• Periodical: Applied Mechanics and Materials (Volumes 670-671)
• Pages: 720-723
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.670-671.720
• Online since: October 2014
• Authors: Pavel A. Akimov*, Marina L. Mozgaleva, Mojtaba Aslami, Oleg A. Negrozov
• Keywords: Discrete-Continual Formulations, Local Structural Analysis, Multipoint Boundary Problem, Operational Formulations, Three-Dimensional Problems, Two-Dimensional Problems, Wavelet-Based Discrete-Continual Finite Element Method

References

[1] Akimov P.A., Mozgaleva M.L.: Correct Wavelet-based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis. / Applied Mechanics and Materials Vols. 166-169 (2012), pp.3155-3158.

DOI: 10.4028/www.scientific.net/amm.166-169.3155