Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain
Year: 2009
Author: M. Asch, S. M. Mefire
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 50–88
Abstract
We are concerned in this work with simulations of the localization of a finite number of small electromagnetic inhomogeneities contained in a three-dimensional bounded domain. Typically, the underlying inverse problem considers the time-harmonic Maxwell equations formulated in electric field in this domain and attempts, from a finite number of boundary measurements, to localize these inhomogeneities. Our simulations are based on an approach that combines an asymptotic formula for perturbations in the electromagnetic fields, a suited inversion process, and finite element meshes derived from a non-standard discretization process of the domain. As opposed to a recent work, where the usual discretization process of the domain was employed in the computations, here we localize inhomogeneities that are one order of magnitude smaller.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-756
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 50–88
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 39
Keywords: Inverse problems Maxwell equations electric fields inhomogeneities Current Projection method MUSIC method FFT edge elements numerical measurements composite numerical integrations.