- Tytuł:
- Bayesian approach to parameter identification in gas networks
- Autorzy:
-
Hajian, Soheil
Hintermüller, Michael
Schillings, Claudia
Strogies, Nikolai - Powiązania:
- https://bibliotekanauki.pl/articles/1839142.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
Bayesian inversion
distributed friction coefficient
gas network/pipeline
hyperbolic PDE system - Opis:
- The inverse problem of identifying the friction coefficient in an isothermal semilinear Euler system is considered. Adopting a Bayesian approach, the goal is to identify the distribution of the quantity of interest based on a finite number of noisy measurements of the pressure at the boundaries of the domain. First wellposedness of the underlying non-linear PDE system is shown using semigroup theory, and then Lipschitz continuity of the solution operator with respect to the friction coefficient is established. Based on the Lipschitz property, well-posedness of the resulting Bayesian inverse problem for the identification of the friction coefficient is inferred. Numerical tests for scalar and distributed parameters are performed to validate the theoretical results.
- Źródło:
-
Control and Cybernetics; 2019, 48, 2; 377-402
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł