Trusted frequency region of convergence for the enclosure method in thermal imaging

DOI10.1515/jiip-2016-0001zbMath1355.65125arXiv1512.00181OpenAlexW2324125065MaRDI QIDQ511036

Kiwoon Kwon, Masaru Ikehata

Publication date: 14 February 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00181

zbMATH Keywords

heat equationenclosure methodinverse initial boundary value problemthermal imagingtrusted frequency region

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

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Extracting discontinuity using the probe and enclosure methods

Cites Work

• An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
• The framework of the enclosure method with dynamical data and its applications
• Boundary estimation problems arising in thermal tomography
• Boundary shape identification problems in two-dimensional domains related to thermal testing of materials
• A numerical method for finding the convex hull of polygonal cavities using the enclosure method
• Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
• Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
• An inverse boundary value problem for the heat equation: the Neumann condition
• An Inverse Problem in Thermal Imaging
• On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
• The enclosure method for the heat equation
• Extracting discontinuity in a heat conductive body. One-space dimensional case
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