# The reconstruction of sources and inclusions by rational approximation

Presented by:
W Rundell
Date:
Tuesday 25th October 2011 -
14:00 to 15:00
Venue:
INI Seminar Room 2
Abstract:
The basis of most imaging methods is to detect hidden obstacles or inclusions within a body when one can only make measurements on an exterior surface. Such is the ubiquity of these problems, the underlying model can lead to a partial differential equation of any of the major types, but here we focus on the elliptic case. In particular we consider steady-state electrostatic or thermal imaging and giving boundary value problems for Laplace's equation or the case of inverse scattering and near/far field data for the Helmholtz equation. Our inclusions can be interior forces with compact support or obstacles with a fixed, given boundray condition although we shall concentrate on the former situation. We propose a series of algorithms that under certain assumptions allows for the determination of the support set by solving a simpler equivalent point source'' problem.
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
Presentation Material: