Local High-Accuracy Plate Analysis Using Wavelet-Based Multilevel Discrete-Continual Finite Element Method

Abstract:

The distinctive paper is devoted to application of wavelet-based discrete-continual finite element method (WDCFEM), to analysis of plates with piecewise constant physical and geometrical parameters in so-called “basic” direction. Initial continual and discrete-continual formulations of the problem are presented. Due to special algorithms of averaging using wavelet basis within multigrid approach, reduction of the problem is provided. Resultant multipoint boundary problem for system of ordinary differential equations is given.

• Periodical: Key Engineering Materials (Volume 685)
• Pages: 962-966
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.685.962
• Online since: February 2016
• Authors: Pavel A. Akimov*, Marina L. Mozgaleva, Mojtaba Aslami, Oleg A. Negrozov
• Keywords: Averaging, Discrete Haar Basis, Discrete-Continual Formulations, Local Structural Analysis, Mathematical Modelling, Multipoint Boundary Problem, Operational Formulations, Plate Analysis, Reduction, Wavelet-Based Discrete-Continual Finite Element Method

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