Transient model and boundary inverse problem

Abstract eng:
Identification of material parameters is being used in many fields ranging from geophysics, medical imaging, archaeology, material science to preservation of historical structures, etc. We focus on problems in civil engineering described by a transient heat equation, where the intervention into the structure might not be possible, hence our approach utilize only boundary measurements. We employ a Bayesian inference method to reconstruct both parameter fields, i.e. thermal conductivity and volumetric heat capacity. The spatial variability is approximated by randomfield which generally forms bases of the unknown fields and reduces the problem. The proposed approach is computationally verified for various loading scenarios, solver setups and material field distributions.

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