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Probing for electrical inclusions with complex spherical waves
http://hdl.handle.net/2241/104005
http://hdl.handle.net/2241/104005b13f34a7-f006-4869-8859-1536723efaeb
名前 / ファイル | ライセンス | アクション |
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CPAM_60-10.pdf (312.6 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2009-11-18 | |||||
タイトル | ||||||
タイトル | Probing for electrical inclusions with complex spherical waves | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Ide, Takanori
× Ide, Takanori× Isozaki, Hiroshi× Nakata, Susumu× Siltanen, Samuli× Uhlmann, Gunther |
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著者別名 |
磯崎, 洋
× 磯崎, 洋 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let a physical body in 2 or 3 be given. Assume that the electric conductivity distribution inside consists of conductive inclusions in a known smooth background. Further, assume that a subset is available for boundary measurements. It is proved using hyperbolic geometry that certain information about the location of the inclusions can be exactly recovered from static electric measurements on . More precisely: given a ball B with center outside the convex hull of and satisfying ( ) , boundary measurements on with explicitly given Dirichlet data are enough to determine whether B intersects the inclusion. An approximate detection algorithm is introduced based on the theory. Numerical experiments in dimension two with simulated noisy data suggest that the algorithm finds the inclusion-free domain near and is robust against measurement noise. | |||||
書誌情報 |
Communications on pure and applied mathematics 巻 60, 号 10, p. 1415-1442, 発行日 2007-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0010-3640 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00611688 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1002/cpa.20194 | |||||
権利 | ||||||
権利情報 | © 2006 Wiley Periodicals, Inc. | |||||
権利 | ||||||
権利情報 | The definitive version is available at www3.interscience.wiley.com | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Wiley Periodicals | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/104005 | |||||
識別子タイプ | HDL | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |