Associating a Limit Perturbation Model in 3D with Reduced Meshes for Simulations of the Localization of Certain Electromagnetic Inhomogeneities
Year: 2010
Author: S. M. Mefire
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 2 : pp. 195–216
Abstract
Simulations of the localization of certain small electromagnetic inhomogeneities, in a three-dimensional bounded domain, are performed by making use of a framework recently introduced by the author and of a non-standard discretization process of this domain. This framework is based on a limit model in electric field and on the combination of a limit perturbation model in the tangential boundary trace of the curl of the electric field, with a Current Projection method or an Inverse Fourier method. As opposed to our recent paper relating to this framework and to experiments requiring the usual discretization process of the domain, inhomogeneities that are one order of magnitude smaller are numerically localized here.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-716
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 2 : pp. 195–216
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Inverse problems Maxwell equations electric fields inhomogeneities Electrical Impedance Tomography Current Projection method FFT numerical boundary measurements edge elements least square systems Incomplete Modified Gram-Schmidt preconditioning composite numerical integrations.