Year: 2010
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 1 : pp. 87–104
Abstract
In this paper, we present the theory and numerical implementation for a 2-D thermal inhomogeneity through the dynamical probe method. The main idea of the dynamical probe method is to construct an indicator function associated with some probe such that when the probe touch the boundary of the inclusion the indicator function will blow up. From this property, we can get the shape of the inclusion. We will give the numerical reconstruction algorithm to identify the inclusion from the simulated Neumann-to-Dirichlet map.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.09-m2935
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 1 : pp. 87–104
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Heat equation Dynamical probe method Neumann-to-Dirichlet map.
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