CALDERÓN’S INVERSE PROBLEM IN CIVIL ENGINEERING

Abstract eng:
In specific fields of research such as treatment of historical structures, medical imaging, material science, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurement. The idea is to obtain a comprehensive information about the material properties inside the domain under consideration while maintaining the test sample intact. This contribution is focused on such problems i.e. synthesizing a physical model of interest with a boundary inverse techniques. The forward model is represented by a basic time dependent diffusion equation with Finite Element (FE) discretization and the parameters are subsequently recovered using a modified Calderon problem principle, numerically solved by a regularized Gauss-Newton method. We provide a basic framework, implementation details and modification of general constrains originally derived for a standard setup of Calderon problem. The proposed model setup was numerically verified for various domains, load conditions and material field distributions. Both steady-state and time dependent cases are studied.

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