- Abstract:
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The notion of polarization tensor is employed for the derivation of the leading-order boundary perturbations in the steady-state voltage potentials that are due to the presence of conductivity inclusions of small diameter. Recently, Capdeboscq and Vogelius obtained optimal bounds of Hashin-Shtrikman type for the trace of the polarization tensor, showing that every pair satisfying these optimal bounds arises as the eigenvalues of a polarization tensor associated with a coated ellipse. In this ...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
-
(pdf, 491.2KB)
-
- Publisher copy:
- 10.1017/S0956792506006541
-
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- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- EUROPEAN JOURNAL OF APPLIED MATHEMATICS Journal website
- Volume:
- 17
- Issue:
- 2
- Pages:
- 201-219
- Publication date:
- 2006-01-01
- DOI:
- EISSN:
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1469-4425
- ISSN:
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0956-7925
- URN:
-
uuid:dd260ad7-df6d-4e02-b689-bb8f94178dbf
- Source identifiers:
-
18559
- Local pid:
- pubs:18559
- Copyright holder:
- Cambridge University Press
- Copyright date:
- 2006
- Notes:
- Copyright 2006 Cambridge University Press
Journal article
Attainability by simply connected domains of optimal bounds for the polarization tensor
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Korea Science and Engineering Foundation
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