<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Shape Identification in Nonlinear Boundary Problems Solved bby Pies Method

Faculty of Mathematics and Informatics, University of Bialystok, ul. Sosnowa 64, 15-887 Bialystok, Poland

Acta Mechanica et Automatica

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"Shape Identification in Nonlinear Boundary Problems Solved bby Pies Method"}

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...

Shape Identification in Nonlinear Boundary Problems Solved bby Pies Method

Published Online: Jul 02, 2014

Page range: 16 - 21

DOI: https://doi.org/10.2478/ama-2014-0003

Keywords
PIES, Defect, Shape Identification, Nonlinear Equation

© Bialystok University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Shape Identification in Nonlinear Boundary Problems Solved bby Pies Method

Published Online: Jul 02, 2014

Page range: 16 - 21

DOI: https://doi.org/10.2478/ama-2014-0003

KeywordsPIES, Defect, Shape Identification, Nonlinear Equation

© Bialystok University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords
PIES, Defect, Shape Identification, Nonlinear Equation