Volume 32, Issue 1
Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material

Marion Darbas & Stephanie Lohrengel

J. Comp. Math., 32 (2014), pp. 21-38.

Published online: 2014-02

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The aim of this paper is to solve numerically the inverse problem of reconstructing small amplitude perturbations in the magnetic permeability of a dielectric material from partial or total dynamic boundary measurements. Our numerical algorithm is based on the resolution of the time-dependent Maxwell equations, an exact controllability method and Fourier inversion for localizing the perturbations. Two-dimensional numerical experiments illustrate the performance of the reconstruction method for different con gurations even in the case of limited-view data.

  • Keywords

Maxwell's equations Inverse problems Numerical reconstruction Exact boundary controllability Fourier inversion

  • AMS Subject Headings

(MSC2010) 35Q61 78M10 35R30 65M32 65M60.

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COPYRIGHT: © Global Science Press

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@Article{JCM-32-21, author = {Marion Darbas and Stephanie Lohrengel}, title = {Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {1}, pages = {21--38}, abstract = {

The aim of this paper is to solve numerically the inverse problem of reconstructing small amplitude perturbations in the magnetic permeability of a dielectric material from partial or total dynamic boundary measurements. Our numerical algorithm is based on the resolution of the time-dependent Maxwell equations, an exact controllability method and Fourier inversion for localizing the perturbations. Two-dimensional numerical experiments illustrate the performance of the reconstruction method for different con gurations even in the case of limited-view data.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1309-m4378}, url = {http://global-sci.org/intro/article_detail/jcm/9867.html} }
TY - JOUR T1 - Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material AU - Marion Darbas & Stephanie Lohrengel JO - Journal of Computational Mathematics VL - 1 SP - 21 EP - 38 PY - 2014 DA - 2014/02 SN - 32 DO - http://doi.org/10.4208/jcm.1309-m4378 UR - https://global-sci.org/intro/article_detail/jcm/9867.html KW - Maxwell's equations KW - Inverse problems KW - Numerical reconstruction KW - Exact boundary controllability KW - Fourier inversion AB -

The aim of this paper is to solve numerically the inverse problem of reconstructing small amplitude perturbations in the magnetic permeability of a dielectric material from partial or total dynamic boundary measurements. Our numerical algorithm is based on the resolution of the time-dependent Maxwell equations, an exact controllability method and Fourier inversion for localizing the perturbations. Two-dimensional numerical experiments illustrate the performance of the reconstruction method for different con gurations even in the case of limited-view data.

Marion Darbas & Stephanie Lohrengel. (1970). Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material. Journal of Computational Mathematics. 32 (1). 21-38. doi:10.4208/jcm.1309-m4378
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