M24. Inverse Problems via Topological Derivatives
The topological derivative of a shape functional measures the sensitivity of such functional to having an infinitesimal perturbation at each point of the explored region. It has many applications in connection with inverse problems such as shape optimization, topology optimization, imaging processing, crack and defect detection in non-destructive testing, to mention a few.
The aim of this minisymposium is to bring together experts and young researchers working in this field to discuss and review the recent applications, new results and future challenges.
Organizer:
María-Luisa Rapún, Universidad Politécnica de Madrid, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Invited Speakers:
Ana Carpio, Universidad Complutense de Madrid, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Topological derivative based Bayesian inference for inverse scattering problems
Yuri Flores-Alburquerque, University of São Paulo, Brazil, This email address is being protected from spambots. You need JavaScript enabled to view it.
Reconstruction of sharp interfaces in time-domain full waveform inversion
Bochra Mejri, Johann Radon Institute for Computational and Applied Mathematics, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Topological sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity
Luca Ratti, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Detection of small cardiac ischemic regions from boundary measurement via topological gradient
Won-Kwang Park, Kookmin University, Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
A real-time identification of small conductivity inhomogeneity via topological derivative
Manuel Pena, Universidad Politécnica de Madrid, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Topological derivative algorithm tested against experimental data: The three-dimensional Fresnel database