Direct algorithms for thermal imaging of small inclusions, Multiscale Modeling and Simulation: A

The goal of this paper is to reconstruct a collection of small inclusions inside a homogeneous object by applying a heat ux and measuring the induced temperature on its boundary. Taking advantage of the smallness of the inclusions, we design ecient non-iterative algorithms for locating the inclusions from boundary measurements of the temperature. We illustrate the feasibility and the viability of our algorithms by numerical examples. AMS subject classications. 35R20, 35B30 Key words. thermal imaging, small inclusions, direct inversion algorithms