Applied Mathematics Seminar
- Date: Monday 19 October 2020, 15:00 – 16:00
- Location: Mathematics Level 8, MALL 1 & 2, School of Mathematics
- Type: Applied mathematics, Seminars, Applied Mathematics
- Cost: None
Professor Laurent Bourgeois ENSTA, Institut Polytechnique de Paris (France)
In this talk, we address forward and inverse scattering problems in an infinite Kirchhoff-Love plate, the scatterer being an impenetrable obstacle of any shape.
Four kinds of boundary conditions are considered on the boundary of such obstacle : clamped, simply-supported, roller-supported and free.
Concerning the forward problem, we prove well-posedness in these four situations, for any wave number in the first three ones, except for a countable set of wave numbers in the last case (the free boundary conditions model a hole in the plate), which is the most difficult one.
We then address the inverse problem of retrieving obstacles from near-field data. In this view, we adapt the Linear Sampling Method of Colton-Kirsch to image the obstacles, showing numerical results to illustrate the feasibility.
The forward part of this work is a collaboration with Christophe Hazard, the inverse part is a collaboration with Arnaud Recoquillay.