메뉴 건너뛰기




Volumn 24, Issue 6, 2008, Pages

Newton regularizations for impedance tomography: Convergence by local injectivity

Author keywords

[No Author keywords available]

Indexed keywords

DIAGNOSTIC RADIOGRAPHY; DIFFERENTIAL EQUATIONS; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE TOMOGRAPHY;

EID: 62649105611     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/6/065009     Document Type: Article
Times cited : (107)

References (20)
  • 1
    • 30444450433 scopus 로고    scopus 로고
    • Calderón's inverse conductivity problem in the plane
    • Astala K and Päivärinta L 2006 Calderón's inverse conductivity problem in the plane Ann. Math. 163 265-99
    • (2006) Ann. Math. , vol.163 , pp. 265-299
    • Astala, K.1    Päivärinta, L.2
  • 2
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • Borcea L 2002 Electrical impedance tomography Inverse Problems 18 R99-136
    • (2002) Inverse Problems , vol.18 , Issue.6 , pp. 99-136
    • Borcea, L.1
  • 4
    • 0002621641 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • Cheney M, Isaacson D and Newell J 1999 Electrical impedance tomography SIAM Rev. 41 85-101
    • (1999) SIAM Rev. , vol.41 , Issue.1 , pp. 85-101
    • Cheney, M.1    Isaacson, D.2    Newell, J.3
  • 6
    • 84870170267 scopus 로고    scopus 로고
    • Localized potentials in electrical impedance tomography
    • Gebauer B 2008 Localized potentials in electrical impedance tomography Inverse Problems and Imaging 2 251-69
    • (2008) Inverse Problems and Imaging , vol.2 , pp. 251-269
    • Gebauer, B.1
  • 7
    • 0031275314 scopus 로고    scopus 로고
    • Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems
    • Hanke M 1997 Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems Numer. Funct. Anal. Optim. 18 971-93
    • (1997) Numer. Funct. Anal. Optim. , vol.18 , Issue.9 , pp. 971-993
    • Hanke, M.1
  • 8
    • 3042686014 scopus 로고    scopus 로고
    • Complete electrode model of electrical impedance tomography: Approximation properties and characterization of inclusions
    • Hyvönen N 2004 Complete electrode model of electrical impedance tomography: approximation properties and characterization of inclusions SIAM J. Appl. Math. 64 902-31
    • (2004) SIAM J. Appl. Math. , vol.64 , Issue.3 , pp. 902-931
    • Hyvönen, N.1
  • 11
    • 49449088307 scopus 로고    scopus 로고
    • The factorization method applied to the complete electrode model of impedance tomography
    • Lechleiter A, Hyvönen N and Hakula H 2008 The factorization method applied to the complete electrode model of impedance tomography SIAM J. Appl. Math. 68 1097-121
    • (2008) SIAM J. Appl. Math. , vol.68 , Issue.4 , pp. 1097-1121
    • Lechleiter, A.1    Hyvönen, N.2    Hakula, H.3
  • 12
    • 33846091615 scopus 로고    scopus 로고
    • Newton regularizations for impedance tomography: A numerical study
    • Lechleiter A and Rieder A 2006 Newton regularizations for impedance tomography: a numerical study Inverse Problems 22 1967-887
    • (2006) Inverse Problems , vol.22 , Issue.6 , pp. 1967-1887
    • Lechleiter, A.1    Rieder, A.2
  • 14
    • 0004148844 scopus 로고    scopus 로고
    • Lieb E H and Loss M 2001 Analysis 2nd edn (Providence, RI: American Mathematical Society)
    • (2001) Analysis
    • Lieb, E.H.1    Loss, M.2
  • 18
    • 0002557931 scopus 로고
    • The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems
    • Scherzer O 1993 The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems Computing 51 45-60
    • (1993) Computing , vol.51 , Issue.1 , pp. 45-60
    • Scherzer, O.1
  • 19
    • 0026907944 scopus 로고
    • Existence and uniqueness for electrode models for electric current computed tomography
    • Somersalo E, Cheney M and Isaacson D 1992 Existence and uniqueness for electrode models for electric current computed tomography SIAM J. Appl. Math. 52 1023-40
    • (1992) SIAM J. Appl. Math. , vol.52 , Issue.4 , pp. 1023-1040
    • Somersalo, E.1    Cheney, M.2    Isaacson, D.3
  • 20
    • 0001895286 scopus 로고    scopus 로고
    • Tikhonov regularization for identification problems in differential equations
    • Tautenhahn U 1996 Tikhonov regularization for identification problems in differential equations Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology (Water Science and Technology Library vol 23) ed J Gottlieb and P DuChateau (Dordrecht: Kluwer) pp 261-270
    • (1996) Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology , pp. 261-270
    • Tautenhahn, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.