We kindly invite you to the talk "On Some Inverse Problems: Boundary Data Completion and Buried Flaws Detection" by Naima Ben Meghnia. Friday, Aug. 6th, 10:00am Vienna Time.

Online at: https://meet.csc.univie.ac.at/b/axe-ick-ugy-pcx

This presentation focuses, on the one hand, on the reconstruction of missing boundary data using the fictitious domain decomposition technique for the heat equation via a new robust algorithm that exploits the dynamic in time and we investigate the convergence analysis. On the other hand, on the identification of cavities in the two-dimensional linear elasticity system from the knowledge of partially overdetermined boundary data using the topological sensitivity analysis. we obtain the explicit formula of the topological derivative taking the energy-gap and L2-gap as cost functions, then we compare both functionals numerically. Several numerical experiments are illustrated to highlight the robustness and the accuracy of these two approaches.