GA18

Abstract

In specific fields of research such as preservation of historical buildings, medical imaging, material science, geophysics and others, it is of particular interest to perform only a non-invasive surface measurements. The idea is to obtain crucial information about the material properties inside the domain under consideration while maintaining the test sample intact. Within the proposed multidisciplinary project we transfer the methodology developed primarily for non-invasive type of medical imaging - electrical impedance tomography - towards problems of civil engineering. The principal goal of this project is to extend the existing methods for solving non-stationary boundary inverse problem in probabilistic setting. In particular, we focus on identification of material properties playing role in coupled heat and moisture transport in porous media. Novelties of our approach consist in the combination of (i) Calderón's inverse problem, (ii) spatial variability of material properties, (iii) formulation of parameter/field identification in a probabilistic setting.