Thursday, April 28th, 2016. Time: 12 p.m.

Place: OCZ Conference Room, C1 Building, UPC Campus Nord, Barcelona.

ABSTRACT

Topological sensitivity analysis consists of studying the asymptotic behavior of a shape functional with respect to a small topology perturbation, like typically the nucleation of a hole. In the talk I will first review a number of mathematical results in the field, then I will show how this concept can be used to design simple and efficient topology optimization / reconstruction algorithms. In particular, I will discuss how certain classical constraints, like pointwise constraints or perimeter constraints, can be taken into account. I will present examples of applications in the areas of ultrasonic non-destructive testing, optimization of load-bearing elastic structures and design of composite materials.

SPEAKER CV

Dr. Samuel Amstutz is an associate professor in the Department of Mathematics at the University of Avignon, France, and a member of the Mathematics Laboratory of Avignon. In the years 2004-2006 he worked as a researcher at the Fraunhofer Institute for Industrial Mathematics (ITWM, Germany) and at the Radon Institute for Computational and Applied Mathematics (RICAM, Austria). He received his Ph.D. in Applied Mathematics from the National Institute for Applied Sciences of Toulouse in 2003. He holds a M.S. degree in Engineering from the National Institute for Aeronautics and Space (Supaéro, Toulouse, 2000) and a M.S. degree in Applied Mathematics from Paul Sabatier University (Toulouse, 2000). He is the author of over 25 publications in international journals. His research interests include : topological sensitivity analysis, shape optimization, image analysis, optimal control and mechanical modeling.