Accurate detection of hidden material changes as fictitious heat sources

References

• X. Maldague and S. Marinetti, “Pulse phase infrared thermography,” J. Appl. Phys., vol. 79, no. 5, pp. 2694–2698, 1996. DOI: 10.1063/1.362662.
   Web of Science ®Google Scholar
• F. Marcuzzi and S. Marinetti, “Efficient reconstruction of corrosion profiles by infrared thermography,” J. Phys. Conf. Ser., vol. 124, pp. 012033, Jul. 2008. DOI: 10.1088/1742-6596/124/1/012033.
   Google Scholar
• D. Lesnic, Inverse Problems with Applications in Science and Engineering. Chapman and Hall/CRC, 2021, DOI: 10.1201/9780429400629.
   Google Scholar
• A. J. Kassab and J. E. Pollard, “Cubic spline anchored grid pattern algorithm for high-resolution detection of subsurface cavities by the ir-cat method,” Numerical Heat Transfer, Part B: Fundamental., vol. 26, no. 1, pp. 63–77, 1994. DOI: 10.1080/10407799408914917.
   Web of Science ®Google Scholar
• E. Divo, A. J. Kassab and F. Rodriguez, “An efficient singular superposition technique for cavity detection and shape optimization,” Numerical Heat Transfer, Part B: Fundamental., vol. 46, no. 1, pp. 1–30, 2004. DOI: 10.1080/10407790490436624.
   Web of Science ®Google Scholar
• M. Higuera, J. Perales, M.-L. Rapun and J. Vega, “Solving inverse geometry heat conduction problems by postprocessing steady thermograms,” Int. J. Heat Mass Transfer, vol. 143, pp. 118490, 2019. DOI: 10.1016/j.ijheatmasstransfer.2019.118490.
   Web of Science ®Google Scholar
• L. Zhang, L. Yang and C. Fan, “A method on identification of multiple cavities in one finite body based on surface temperature measurements: a numerical and experimental study,” Numerical Heat Transfer; Part A: Appl., vol. 75, no. 1, pp. 40–55, 2019. DOI: 10.1080/10407782.2018.1562743.
   Web of Science ®Google Scholar
• H.-L. Zhou, Y.-S. Li, B. Yu and H.-L. Chen, “Shape identification for inverse geometry heat conduction problems by fem without iteration,” Numerical Heat Transfer; Part A: Appl., vol. 72, no. 8, pp. 628–641, 2017. DOI: 10.1080/10407782.2017.1394128.
   Web of Science ®Google Scholar
• A. Kirsch, An Introduction to the Mathematical Theory of Inverse Problems. Springer, 2021, DOI: 10.1007/978-3-030-63343-1.
   Google Scholar
• K. Bryan and L. Caudill, “Reconstruction of an unknown boundary portion from Cauchy data in n dimensions,” Inverse Problem., vol. 21, no. 1, pp. 239–255, 2005. DOI: 10.1088/0266-5611/21/1/015.
   Web of Science ®Google Scholar
• M. J. Kazemzadeh-Parsi and F. Daneshmand, “Cavity-shape identification with convective boundary conditions using non-boundary-fitted meshes,” Numerical Heat Transfer, Part B: Fundamental., vol. 57, no. 4, pp. 283–305, 2010. https://www.scopus.com/inward/record.uri?eid=2-s2.0-77953996807&doi=10.1080%2f10407790.2010.481496&partnerID=40&md5=8df69120262001b900b85d39d7586522. DOI: 10.1080/10407790.2010.481496.
   Web of Science ®Google Scholar
• Y. He, R. Yang, X. Wu and S. Huang, “Dynamic scanning electromagnetic infrared thermographic analysis based on blind source separation for industrial metallic damage evaluation,” IEEE Trans. Ind. Inf., vol. 14, no. 12, pp. 5610–5619, 2018. DOI: 10.1109/TII.2018.2822293.
   Web of Science ®Google Scholar
• I. Garrido, S. Lagüela, R. Otero and P. Arias, “Thermographic methodologies used in infrastructure inspection: a review—post-processing procedures,” Appl. Energy, vol. 266, pp. 114857, 2020. DOI: 10.1016/j.apenergy.2020.114857.
   Web of Science ®Google Scholar
• F. Ciampa, P. Mahmoodi, F. Pinto and M. Meo, “Recent advances in active infrared thermography for non-destructive testing of aerospace components,” Sensors, vol. 18, no. 2, pp. 609, 2018. DOI: 10.3390/s18020609.
   PubMed Web of Science ®Google Scholar
• S. Doshvarpassand, C. Wu and X. Wang, “An overview of corrosion defect characterization using active infrared thermography,” Infrared Phys. Technol., vol. 96, pp. 366–389, 2019. DOI: 10.1016/j.infrared.2018.12.006.
   Web of Science ®Google Scholar
• A. Quarteroni, Numerical Models for Differential Problems. Springer-Verlag Mailand, 2014, DOI: 10.1007/978-88-470-1071-0.
   Google Scholar
• G. Deolmi, F. Marcuzzi, S. Marinetti and S. Poles, “Numerical algorithms for an inverse problem of corrosion detection,” Commun. APPl. Ind. Math., vol. 1, no. 2, pp. 78–98, 2010. DOI: 10.1685/2010CAIM539.
   Google Scholar
• J. Nocedal and S. Wright, Numerical Optimization. New York: Springer, 1999,
   Google Scholar
• M. Kern, Numerical Methods for Inverse Problems. John Wiley & Sons, 2016, DOI: 10.1002/9781119136941.
   Google Scholar
• C. L. Lawson and R. J. Hanson, Solving Least Squares Problems. SIAM, 1995, DOI: 10.1137/1.9781611971217.
   Google Scholar
• A. Wirgin, “The Inverse Crime,” 2004. https://arxiv.org/abs/math-ph/0401050., DOI: 10.48550/ARXIV.MATH-PH/0401050.
   Google Scholar
• M. Dessole and F. Marcuzzi, “Fully iterative ilu preconditioning of the unsteady Navier-stokes equations for gpgpu,” Comput. Math. Appl., vol. 77, no. 4, pp. 907–927, 2019. DOI: 10.1016/j.camwa.2018.10.037.
   Web of Science ®Google Scholar