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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王振男(Jenn-Nan Wang) | |
| dc.contributor.author | Shih-Han Huang | en |
| dc.contributor.author | 黃仕翰 | zh_TW |
| dc.date.accessioned | 2021-06-08T04:20:40Z | - |
| dc.date.copyright | 2011-08-22 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-08-18 | |
| dc.identifier.citation | References
[1] Alessandrini G 1988 Stable determination of conductivity by boundary measurements Appl.Anal. 27 153-72 [2] Alessandrini G 1990 Singular solutions of elliptic equations and the determination of conductivity by boundary measurements J. Diff. Eqns 84 252-72 [3] Calderon A P 1980 On an inverse boundary value problem Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro: Soc. Brasileira de Matematica) pp 65-73 [4] Folland G B, FOURIER ANALYSIS AND ITS APPLICATIONS, Wadsworth & Brooks/Cole Advanced Books & Software Pacific Grove, California, (1992) [5] Isakov V 1988 On uniqueness of recovery of a discontinuous conductivity coefficient Comm. Pure Appl. Math. 41 865-77 [6] Nagayasu S, Uhlmann G and Wang Jean-Nan A depth-dependent stablity estimate in electrical impedance tomography, Inverse Problems 25 (2009), 075001 [7] Sylvester J and Uhlmann G 1988 Inverse boundary value problems at the boundary-continuous dependence Comm. Pure Appl. Math. 41 197-219 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22554 | - |
| dc.description.abstract | Abstract
In this paper, we study the inverse problem of determining an electrical inclusion from boundary measurements in three dimensions. The problem has been researched in two dimensions by [6] . We derive the extended three dimensions case here, and we give the stability estimate of the error measurements with explicit form. Finally, we also demonstrate that the accurate of measurements becomes more worse as the incluson is farther from the boundary. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T04:20:40Z (GMT). No. of bitstreams: 1 ntu-100-R97221047-1.pdf: 317923 bytes, checksum: 9a6006a796cc07971a9abab0e2287ee7 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | Contents
口試委員會審定書 中文摘要……………………………………………………i Abstract……………………………………………………ii Chapter 1 ……………………………………………………1 1.1 Introduction…………………………………1 1.2 The Notations and The Preliminary……3 Chapter 2……………………………………………………10 Chapter 3……………………………………………………25 Conclusion……………………………………………………28 Reference……………………………………………………29 | |
| dc.language.iso | en | |
| dc.subject | 球諧函數 | zh_TW |
| dc.subject | 電流阻抗成像 | zh_TW |
| dc.subject | Dirichlet-to-Neumann map | en |
| dc.subject | Spherical harmonic | en |
| dc.subject | Electrical impedance tomography (EIT) | en |
| dc.title | 三維線性電流阻抗成像的穩定性分析 | zh_TW |
| dc.title | A Depth-Dependent Stability Estimate for The Linearized Dirichlet-to-Neumann Map in Electrical Impedance Tomography | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林太家(Tai-Chia Lin),陳俊全,夏俊雄 | |
| dc.subject.keyword | 電流阻抗成像,球諧函數, | zh_TW |
| dc.subject.keyword | Electrical impedance tomography (EIT),Dirichlet-to-Neumann map,Spherical harmonic, | en |
| dc.relation.page | 29 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2011-08-18 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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|---|---|---|---|
| ntu-100-1.pdf 未授權公開取用 | 310.47 kB | Adobe PDF |
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