@article{banks_criner_2012, title={Thermal based methods for damage detection and characterization in porous materials}, volume={28}, number={6}, journal={Inverse Problems}, author={Banks, H. T. and Criner, A. K.}, year={2012} } @article{banks_cioranescu_criner_winfree_2011, title={Parameter estimation for the heat equation on perforated domains}, volume={19}, number={6}, journal={Journal of Inverse and Ill-Posed Problems}, author={Banks, H. T. and Cioranescu, D. and Criner, A. K. and Winfree, W. P.}, year={2011}, pages={825–857} } @article{banks_boudreaux_criner_foster_uttal_vogel_winfree_2010, title={Thermal-based damage detection in porous materials}, volume={18}, ISSN={["1741-5977"]}, DOI={10.1080/17415977.2010.498912}, abstractNote={We report here on the use of the heat equation to simulate a thermal interrogation method for detecting damage in a heterogeneous porous material. We first use probability schemes to randomly generate pores in a sample material; then we simulate flash heating of the compartment along one of its boundaries. Temperature data along the source and back boundaries are recorded and then analysed to distinguish differences between the undamaged and damaged materials. These results suggest that it is possible to detect damage of a certain size within a porous medium using thermal interrogation.}, number={6}, journal={INVERSE PROBLEMS IN SCIENCE AND ENGINEERING}, author={Banks, H. T. and Boudreaux, Brittany and Criner, Amanda Keck and Foster, Krista and Uttal, Cerena and Vogel, Thomas and Winfree, William P.}, year={2010}, pages={835–851} }