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Volumn 14, Issue 3, 1998, Pages 553-595

Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

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EID: 0000932785     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/14/3/011     Document Type: Article
Times cited : (222)

References (18)
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    • Alessandrini, G.1    Isakov, V.2    Powell, J.3
  • 2
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    • Barber D and Brown B 1990 Progress in electrical impedance tomography Inverse Problems in Partial Differential Equations ed D Colton et al (Philadelphia, PA: SIAM Publications) pp 151-64
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    • Barber, D.1    Brown, B.2
  • 3
    • 3343017804 scopus 로고    scopus 로고
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    • Cedio-Fengya, D.J.1
  • 6
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    • On the uniqueness in the inverse conductivity problem with one measurement
    • Friedman A and Isakov V 1989 On the uniqueness in the inverse conductivity problem with one measurement Indiana Univ. Math. J. 38 563-79
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 563-579
    • Friedman, A.1    Isakov, V.2
  • 7
    • 0007473029 scopus 로고
    • Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
    • Friedman A and Vogelius M 1989 Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence Arch. Rat. Mech. Anal. 105 299-326
    • (1989) Arch. Rat. Mech. Anal. , vol.105 , pp. 299-326
    • Friedman, A.1    Vogelius, M.2
  • 8
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    • Layer potential theory for the inverse conductivity problem
    • Kang H and Seo J K 1996 Layer potential theory for the inverse conductivity problem Inverse Problems 12 267-78
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    • Kang, H.1    Seo, J.K.2
  • 10
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    • Determining conductivity by boundary measurements
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    • (1984) Commun. Pure Appl. Math. , vol.37 , pp. 289-298
    • Kohn, R.1    Vogelius, M.2
  • 11
    • 84990557216 scopus 로고
    • Determining conductivity by boundary measurements II. Interior results
    • Kohn R and Vogelius M 1984 Determining conductivity by boundary measurements Commun. Pure Appl. Math. 37 289-98 Kohn R and Vogelius M 1985 Determining conductivity by boundary measurements II. Interior results Commun. Pure Appl. Math. 38 643-67
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 643-667
    • Kohn, R.1    Vogelius, M.2
  • 13
    • 0027659091 scopus 로고
    • Crack determination from boundary measurements-reconstruction using experimental data
    • Liepa V, Santosa F and Vogelius M 1993 Crack determination from boundary measurements-reconstruction using experimental data J. Nondestructive Evaluation 12 163-74
    • (1993) J. Nondestructive Evaluation , vol.12 , pp. 163-174
    • Liepa, V.1    Santosa, F.2    Vogelius, M.3
  • 14
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    • Stabilized numerical analytic prolongation with poles
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    • (1970) SIAM J. Appl. Math. , vol.18 , pp. 346-363
    • Miller, K.1
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    • Global uniqueness for a two-dimensional inverse boundary value problem
    • Nachman A 1996 Global uniqueness for a two-dimensional inverse boundary value problem Ann. Math. 143 71-96
    • (1996) Ann. Math. , vol.143 , pp. 71-96
    • Nachman, A.1
  • 16
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    • A boundary integral equation method for an inverse problem related to crack detection
    • Nishimura N and Kobayashi S 1991 A boundary integral equation method for an inverse problem related to crack detection Int. J. Num. Meth. Eng. 32 1371-87
    • (1991) Int. J. Num. Meth. Eng. , vol.32 , pp. 1371-1387
    • Nishimura, N.1    Kobayashi, S.2
  • 18
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    • A global uniqueness theorem for an inverse boundary value problem
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.