- Tytuł:
- Trefftz method for an inverse geometry problem in steady-state heat conduction
- Autorzy:
- Hożejowski, L.
- Powiązania:
- https://bibliotekanauki.pl/articles/122389.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
inverse geometry problem
boundary identification
Trefftz method
metoda Trefftza - Opis:
- The paper addresses a boundary identification problem in two-dimensional steady-state heat conduction. The proposed approach based on the Trefftz method allows one to reconstruct the unknown part of a regular domain boundary from the given temperature measurements on it, provided that both the temperature and heat flux on the remaining part of the boundary are known. The reconstruction of an unknown boundary is done through successive approximations with a polynomial or a truncated Fourier series. The proposed solution method, whose merit lies in the avoidance of large systems of nonlinear equations, is fast converging, accurate and numerically stable, as demonstrated in the included numerical examples.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 41-52
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł