Identification of simple poles via boundary measurements and an application of EIT

Inverse Problems

Volumn 20, Issue 6, 2004, Pages 1853-1863

  Kang, Hyeonbae ^a   Lee, Hyundae ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; ELECTRIC CONDUCTORS; ELECTRIC IMPEDANCE; ELECTROMAGNETIC WAVE POLARIZATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING;

ELECTRICAL IMPEDENCE TOMOGRAPHY (EIT); MEROMORPHIC FUNCTIONS; NEUMANN FUNCTIONS; POLARIZATION MATRICES;

FUNCTIONS;

EID: 10844251139     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/6/010     Document Type: Article

References (14)

1. Ammari H, Beretta E and Francini E Preprint Reconstruction of thin conductivity imperfections II: The case of multiple segments
2. Ammari H and Kang H 2003 High-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of conductivity inhomogeneities of small diameter SIAM J. Math. Anal. 34 1152-66
3. Ammari H and Kang H 2004 Reconstruction of Small Inhomogeneities from Boundary Measurements (Lecture Notes in Mathematics vol 1846) (Berlin: Springer)
4. Ammari H, Kang H, Kim E and Lim M 2004 Reconstruction of closely spaced small inclusions SIAM J. Numer. Anal. at press
5. Ammari H, Moskow S and Vogelius M S 2003 Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter ESAIM: Control. Opt. Calc. Var. 9 49-66
6. Ammari H and Seo J K 2003 An accurate formula for the reconstruction of conductivity inhomogeneities Adv. Appl. Math. 30 679-705
7. Brühl M, Hanke M and Vogelius M S 2003 A direct impedance tomography algorithm for locating small inhomogeneities Numer. Math. 93 635-54
8. Cedio-Fengya D J, Moskow S and Vogelius M S 1998 Identification of conductivity imperpections of small diameter by boundary measurements: continuous dependence and computational reconstruction Inverse Problems 14 553-95
9. Friedman A and Vogelius M S 1989 Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence Arch. Rat. Mech. Anal. 105 299-326
10. Isakov V 1990 Inverse Source Problems (Mathematical Surveys and Monographs vol 34) (Providence, RI: American Mathematical Society)
11. Kang H, Kim E and Kim K 2003 Anistropic polarization tensors and determination of an anisotropic inclusion SIAM J. Appl. Math. 65 1276-91
12. Kwon O, Seo J K and Yoon J R 2002 A real-time algorithm for the location search of discontinuous conductivities with one measurement Commun. Pure Appl. Math. 55 1-29
13. Miller K 1970 Stabilized numerical analytic prolongation with poles SIAM J. Appl. Math. 18 346-63
14. Stoer J and Bulirsch R 1992 Introduction to Numerical Analysis (Berlin: Springer)