Time-Dependent Thermal Imaging of Circular Inclusions

Authors

Donald L. Brouwn, Rose-Hulman Institute of Technology
Mark Hubenthal, Rose-Hulman Institute of Technology

Document Type

Article

Publication Date

7-20-2005

First Advisor

Kurt Bryan

Abstract

This paper considers the inverse problem of locating one or more circular inclusions in a two-dimensional domain using thermal boundary data, specifically, the input heat flux and measured boundary temperature. The forward problem is governed by the heat equation. We show how the position and size of such defects can be recovered using the boundary data and various approximations of the solution to the forward problem. We also consider the stability of the algorithm involved to recover the defects.

Comments

MSTR 05-02

Recommended Citation

Brouwn, Donald L. and Hubenthal, Mark, "Time-Dependent Thermal Imaging of Circular Inclusions" (2005). Mathematical Sciences Technical Reports (MSTR). 50.
https://scholar.rose-hulman.edu/math_mstr/50