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.

Speakers (in alphabetical order):
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, Université de Tunis El Manar, Tunisia, 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.

PLENARY SPEAKERS

Prof. Dr. Liliana Borcea

University of Michigan, USA
http://www-personal.umich.edu/~borcea/

Inverse scattering in random media, Electro-magnetic inverse problems, Effective properties of composite materials, transport in high contrast, heterogeneous media

Prof. Dr. Bernd Hofmann

Chemnitz University of Technology, Germany
https://www.tu-chemnitz.de/mathematik/inverse_probleme/hofmann/?en=1

Regularization of inverse and ill-posed problems

Prof. Dr. John C Schotland

Yale University, USA
https://gauss.math.yale.edu/~js4228/

Inverse problems with applications to imaging, Scattering theory, Waves in random media, Nano-scale optics, Coherence theory and quantum optics

Prof. Dr. Erkki Somersalo

Case Western Reserve University, USA
https://mathstats.case.edu/faculty/erkki-somersalo/

Computational and statistical inverse problems, Probabilistic methods for uncertainty quantification, Modeling of complex systems, Biomedical applications

Prof. Dr. Gunther Uhlmann

University of Washington, USA
https://sites.math.washington.edu/~gunther/

Inverse problems and imaging, Partial differential equations, Microlocal analysis, Scattering theory

Prof. Dr. Jun Zou

The Chinese University of Hong Kong, Hong Kong SAR
https://www.math.cuhk.edu.hk/~zou/

Numerical solutions of electromagnetic Maxwell systems and interface problems, inverse and ill-posed problems, preconditioned and domain decomposition methods