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A Bayesian approach to parameter identification in gas networks.
- Source :
- Control & Cybernetics; 2019, Vol. 48 Issue 2, p377-402, 26p
- Publication Year :
- 2019
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- BAYESIAN analysis
HYPERBOLIC geometry
FRICTION
EULER angles
LIPSCHITZ spaces
Subjects
Details
- Language :
- English
- ISSN :
- 03248569
- Volume :
- 48
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Control & Cybernetics
- Publication Type :
- Academic Journal
- Accession number :
- 142116481