Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data
We consider a three-dimensional conductor containing an inclusion that can be represented as a cylinder with a fixed axis and a small basis. As the size of the basis of the cylinder approaches zero, the voltage perturbation can be described by means of a polarization tensor. We give an explicit char...
| Asıl Yazarlar: | , , , |
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| Materyal Türü: | Journal article |
| Baskı/Yayın Bilgisi: |
IOP Publishing
2009
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| _version_ | 1826286055455719424 |
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| author | Beretta, E Capdeboscq, Y de Gournay, F Francini, E |
| author_facet | Beretta, E Capdeboscq, Y de Gournay, F Francini, E |
| author_sort | Beretta, E |
| collection | OXFORD |
| description | We consider a three-dimensional conductor containing an inclusion that can be represented as a cylinder with a fixed axis and a small basis. As the size of the basis of the cylinder approaches zero, the voltage perturbation can be described by means of a polarization tensor. We give an explicit characterization of the polarization tensor of cylindrical inclusions in terms of the polarization tensor of its base, and we use this result to show that the axis of the inclusion can be uniquely determined by boundary values of the voltage perturbation. We also present a reconstruction algorithm and some numerical simulations. Copyright 2009 IOP Publishing Ltd. |
| first_indexed | 2024-03-07T01:38:06Z |
| format | Journal article |
| id | oxford-uuid:95e51c83-bea9-4886-afd1-2f40db4d22eb |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:38:06Z |
| publishDate | 2009 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:95e51c83-bea9-4886-afd1-2f40db4d22eb2022-03-26T23:49:20ZThin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary dataJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:95e51c83-bea9-4886-afd1-2f40db4d22ebSymplectic Elements at OxfordIOP Publishing2009Beretta, ECapdeboscq, Yde Gournay, FFrancini, EWe consider a three-dimensional conductor containing an inclusion that can be represented as a cylinder with a fixed axis and a small basis. As the size of the basis of the cylinder approaches zero, the voltage perturbation can be described by means of a polarization tensor. We give an explicit characterization of the polarization tensor of cylindrical inclusions in terms of the polarization tensor of its base, and we use this result to show that the axis of the inclusion can be uniquely determined by boundary values of the voltage perturbation. We also present a reconstruction algorithm and some numerical simulations. Copyright 2009 IOP Publishing Ltd. |
| spellingShingle | Beretta, E Capdeboscq, Y de Gournay, F Francini, E Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data |
| title | Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data |
| title_full | Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data |
| title_fullStr | Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data |
| title_full_unstemmed | Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data |
| title_short | Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data |
| title_sort | thin cylindrical conductivity inclusions in a three dimensional domain a polarization tensor and unique determination from boundary data |
| work_keys_str_mv | AT berettae thincylindricalconductivityinclusionsinathreedimensionaldomainapolarizationtensoranduniquedeterminationfromboundarydata AT capdeboscqy thincylindricalconductivityinclusionsinathreedimensionaldomainapolarizationtensoranduniquedeterminationfromboundarydata AT degournayf thincylindricalconductivityinclusionsinathreedimensionaldomainapolarizationtensoranduniquedeterminationfromboundarydata AT francinie thincylindricalconductivityinclusionsinathreedimensionaldomainapolarizationtensoranduniquedeterminationfromboundarydata |