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

• Autorzy: Zieniuk E. , Bołtuć A.
• 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.

Słowa kluczowe

EN

parametric integral equation system (PIES); inverse problems; Laplace's equation

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2005
• Tom: Vol. 9, No 4
• Strony: 415--426
• Opis fizyczny: Bibliogr. 10 poz., 6 rys., 1 tab.

Twórcy

autor

Zieniuk E.

• Department of Mathematics and Physics, Institute of Computer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland

autor

Bołtuć A.

• Department of Mathematics and Physics, Institute of Computer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland

Bibliografia

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