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   -> Volume 5, Issue 3


Preprint: Boundary Conditions of Wavelet-Galerkin
 
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lu@ipc.akita-u.ac.jp (LU Dian Feng)
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PostPosted: Wed Dec 04, 2002 9:51 am    
Subject: Preprint: Boundary Conditions of Wavelet-Galerkin
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Preprint: Boundary Conditions of Wavelet-Galerkin

Preprint: Treatment of Boundary Conditions in the Application
of Wavelet-Galerkin Method to a SH Wave Problem

Author : Dianfeng LU, Tadashi OHYOSHI, Lin ZHU


Abstract:
One of main problems with the Wavelet-Galerkin is the treatment
of boundary conditions. It is sloved by our method which is
referred to as Fictitious Boundary Approach. In this approach,
a fictitious boundary is assumed to tackle the difficulty of
treating boundary conditions. And an additional condition is
also made in order to ensure the real solution. This method is
adapted to all the three kinds of boundary conditions in the
theory of differential equation. To support our method, a SH
wave mode problem in a plate is solved, and its numeral result
is compared with the exact solution. Although the Wavelet-Galerkin
has very good features for solving differential equations, we
find that it is still difficult to represent the infinite
resonance solution after investigating the error convergence
near the resonance point. And we emphasize the importance of
selecting a proper sacle $j$ especially to represent the solution
near the resonance.

This paper will be appeard in International Journal of The Society of
Materials Engineering for Resources.

The postscript file of this paper is available.
Anyone can require it by mail.

Comments would be very appreciated.

Dianfeng LU
Ohyoshi Laboratory
Department of Mechanical Engineering
Akita University
E-Mail: lu@ipc.akita-u.ac.jp
Tel : +81-188-89-2345 (Lab.)
FAX : +81-188-36-3829 (home)
All times are GMT + 1 Hour
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