RESEARCH PAPER
Shape Identification in Nonlinear Boundary Problems Solved bby Pies Method
 
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Faculty of Mathematics and Informatics, University of Bialystok, ul. Sosnowa 64, 15-887 Bialystok, Poland
 
 
Online publication date: 2014-07-02
 
 
Publication date: 2014-03-01
 
 
Acta Mechanica et Automatica 2014;8(1):16-21
 
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ABSTRACT
The paper presents the strategy for identifying the shape of defects in the domain defined in the boundary value problem modelled by the nonlinear differential equation. To solve the nonlinear problem in the iterative process the PIES method and its advantages were used: the efficient way of the boundary and the domain modelling and global integration. The identification was performed using the genetic algorithm, where in connection with the efficiency of PIES we identify the small number of data required to the defect’s definition. The strategy has been tested for different shapes of defects.
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ISSN:1898-4088
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