- Tytuł:
- A regularized Newton method in electrical impedance tomography using shape Hessian information
- Autorzy:
-
Eppler, K.
Harbrecht, H. - Powiązania:
- https://bibliotekanauki.pl/articles/970140.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
tomografia impedancyjna
optymalizacja kształtu
brzegowe równanie całkowe
electrical impedance tomography
shape optimization
boundary integral equation
Newton type descent - Opis:
- The present paper is concerned with the identification of an obstacle or void of different conductivity included in a two-dimensional domain by measurements of voltage and currents at the boundary. We employ a reformulation of the given identification problem as a shape optimization problem as proposed by Roche and Sokolowski (1996). It turns out that the shape Hessian degenerates at the given hole which gives a further hint on the ill-posedness of the problem. For numerical methods, we propose a preprocessing for detecting the barycentre and a crude approximation of the void or hole. Then, we resolve the shape of the hole by a regularized Newton method.
- Źródło:
-
Control and Cybernetics; 2005, 34, 1; 203-225
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł