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Volume 7, Issue 2
Associating a Limit Perturbation Model in 3D with Reduced Meshes for Simulations of the Localization of Certain Electromagnetic Inhomogeneities

S. M. Mefire

Int. J. Numer. Anal. Mod., 7 (2010), pp. 195-216.

Published online: 2010-07

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  • 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.

  • 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.

  • AMS Subject Headings

65N21, 65N30, 78A25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-195, author = {Mefire , S. M.}, title = {Associating a Limit Perturbation Model in 3D with Reduced Meshes for Simulations of the Localization of Certain Electromagnetic Inhomogeneities}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/716.html} }
TY - JOUR T1 - Associating a Limit Perturbation Model in 3D with Reduced Meshes for Simulations of the Localization of Certain Electromagnetic Inhomogeneities AU - Mefire , S. M. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 195 EP - 216 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/716.html KW - 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. AB -

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.

Mefire , S. M.. (2010). Associating a Limit Perturbation Model in 3D with Reduced Meshes for Simulations of the Localization of Certain Electromagnetic Inhomogeneities. International Journal of Numerical Analysis and Modeling. 7 (2). 195-216. doi:
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