M6. Topological Derivatives in Inverse Problems and Shape Optimization
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 mini-symposium is to bring together experts and young researchers working in this field to discuss and review the recent applications, new results and future challenges.
Organizers:
Peter Gangl, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
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:
Charles Dapogny, Université Grenoble Alpes, France, This email address is being protected from spambots. You need JavaScript enabled to view it.
Shape and topology optimization of regions supporting boundary conditions
Victor Kovtunenko, University of Graz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid
Antoine Laurain, University of Duisburg-Essen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Reconstruction of Voronoi diagrams in inverse problems
Won-Kwang Park, Kookmin University, Republic of Korea, This email address is being protected from spambots. You need JavaScript enabled to view it.
A study on the topological derivative-based imaging without background information
Maria-Luisa Rapun, Universidad Politecnica de Madrid, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Iterative methods based on topological derivative computations for shape reconstruction problems