Two continuum approaches to a wavelength-dependent description of heat conduction
β Scribed by F. Bampi; A. Morro; D. Jou
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 474 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0378-4371
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## Abstract This paper studies a Bayesian inference approach to the Cauchy problem in steadyβstate heat conduction of probabilistically calibrating the boundary temperature. The prior modeling is achieved via the Markov random field, and its regularizing property is investigated. A hierarchical Bay
## a b s t r a c t We consider an inverse problem for estimating an unknown time-dependent heat source HΓ°tΓ in a heat conduction equation T t Γ°x; tΓ ΒΌ T xx Γ°x; tΓ ΓΎ HΓ°tΓ, with the aid of an extra measurement of temperature at an internal point. The Lie-group shooting method (LGSM) was used in the