Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities
The main result of this paper establishes optimal pointwise bounds for the polarization tensors that appear in representation formulae for the voltage perturbations caused by low volume fraction inhomogeneities. Furthermore it is demonstrated how these pointwise bounds may be used to derive a partic...
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| Format: | Journal article |
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IOS Press
2006
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| _version_ | 1797068704574341120 |
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| author | Capdeboscq, Y Vogelius, MS |
| author_facet | Capdeboscq, Y Vogelius, MS |
| author_sort | Capdeboscq, Y |
| collection | OXFORD |
| description | The main result of this paper establishes optimal pointwise bounds for the polarization tensors that appear in representation formulae for the voltage perturbations caused by low volume fraction inhomogeneities. Furthermore it is demonstrated how these pointwise bounds may be used to derive a particularly simple version of the representation formulae in the case of thin inhomogeneities. Copyright 2006 - IOS Press and the authors. All rights reserved. |
| first_indexed | 2024-03-06T22:14:01Z |
| format | Journal article |
| id | oxford-uuid:52cb373a-05f5-44b5-9ba8-1f49d90a89f5 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:14:01Z |
| publishDate | 2006 |
| publisher | IOS Press |
| record_format | dspace |
| spelling | oxford-uuid:52cb373a-05f5-44b5-9ba8-1f49d90a89f52022-03-26T16:27:32ZPointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneitiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:52cb373a-05f5-44b5-9ba8-1f49d90a89f5Symplectic Elements at OxfordIOS Press2006Capdeboscq, YVogelius, MSThe main result of this paper establishes optimal pointwise bounds for the polarization tensors that appear in representation formulae for the voltage perturbations caused by low volume fraction inhomogeneities. Furthermore it is demonstrated how these pointwise bounds may be used to derive a particularly simple version of the representation formulae in the case of thin inhomogeneities. Copyright 2006 - IOS Press and the authors. All rights reserved. |
| spellingShingle | Capdeboscq, Y Vogelius, MS Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities |
| title | Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities |
| title_full | Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities |
| title_fullStr | Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities |
| title_full_unstemmed | Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities |
| title_short | Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities |
| title_sort | pointwise polarization tensor bounds and applications to voltage perturbations caused by thin inhomogeneities |
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