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Identification of polygonal domains using PIES in inverse boundary problems modeled by 2D Laplace's equation

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Języki publikacji
EN
Abstrakty
EN
The paper presents an original method to identify polygonal boundary geometry in 2D boundary problems defined by Laplace's equation using a parametric integral equation system (PIES). In the PIES, the polygonal boundary shape is defined mathematically by means of parametric linear segments, with a small number of corner points being posed. Identification of the polygonal boundary is reduced to identification of the corner points. Finally, the solution of the problem is reduced to the solution of a non-linear system of algebraic equations. Coordinates of identified corner points are obtained after solving the system of equations.
Twórcy
autor
  • Department of Mathematics and Physics, Institute of Computer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland, ezieniuk@ii.uwb.edu.pl
autor
  • Department of Mathematics and Physics, Institute of Computer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland, aboltuc@ii.uwb.edu.pl
Bibliografia
  • [1] Tikhonov A N and Arsenin V Y 1977 Solution of Ill-posed Problems, John Wiley & Sons, New York
  • [2] Beck J V, Blackwell B and St Clair C R Jr 1985 Inverse Heat Conduction: Ill-posed Problems, Wiley-Interscience, New York
  • [3] Zienkiewicz O C 1977 The Finite Element Methods, McGraw-Hill, London
  • [4] Beer G and Watson J O 1992 Introduction to Finite and Boundary Element Methods for Engineers, John Wiley & Sons, New York
  • [5] Brebbia C A, Telles J C F and Wrobel L C 1984 Boundary Element Techniques, Theory and Applications in Engineering, Springer Verlag, New York
  • [6] Burczynski T and Beluch W 2001 Engng. Anal. Bound. Elem. 25 313
  • [7] Liu G R and Han X 2003 Computational Inverse Techniques in Non-destructive Evaluation, CRC Press LLC
  • [8] Zieniuk E 2001 Engng. Anal. Bound. Elem. 25 (3) 185
  • [9] Zieniuk E 2002 Engng. Anal. Bound. Elem. 26 (10) 897
  • [10] Zieniuk E 2003 Engng. Comput. 20 (2) 112
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0013-0073
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