메뉴 건너뛰기




Volumn 68, Issue 4, 2008, Pages 1026-1044

Reconstructing discontinuities using complex geometrical optics solutions

Author keywords

Geometrical optics; Inclusions; Numerical algorithm

Indexed keywords

BOUNDARY MEASUREMENTS; COMPLEX GEOMETRICAL OPTICS; COMPUTATIONAL RESULTS; INCLUSIONS; LAPLACIAN; LEADING ORDER; NUMERICAL ALGORITHM;

EID: 49449109465     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/060676350     Document Type: Article
Times cited : (43)

References (32)
  • 1
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • L. BORCEA, Electrical impedance tomography, Inverse Problems, 18 (2002), pp. R99-R136.
    • (2002) Inverse Problems , vol.18
    • BORCEA, L.1
  • 2
    • 0041474714 scopus 로고    scopus 로고
    • Addendum to: Electrical impedance tomography
    • L. BORCEA, Addendum to: Electrical impedance tomography, Inverse Problems, 19 (2003), pp. 997-998.
    • (2003) Inverse Problems , vol.19 , pp. 997-998
    • BORCEA, L.1
  • 4
    • 0002621641 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • M. CHENEY, D. ISAACSON, AND J. C. NEWELL, Electrical impedance tomography, SIAM Rev., 41 (1999), pp. 85-101.
    • (1999) SIAM Rev , vol.41 , pp. 85-101
    • CHENEY, M.1    ISAACSON, D.2    NEWELL, J.C.3
  • 6
    • 0035649639 scopus 로고    scopus 로고
    • Global uniqueness in the inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials
    • G. ESKIN, Global uniqueness in the inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials, Comm. Math. Phys., 222 (2001), pp. 503-531.
    • (2001) Comm. Math. Phys , vol.222 , pp. 503-531
    • ESKIN, G.1
  • 7
    • 0036608345 scopus 로고    scopus 로고
    • On the inverse boundary value problem for linear isotropic elasticity
    • G. ESKIN AND J. RALSTON, On the inverse boundary value problem for linear isotropic elasticity, Inverse Problems, 18 (2002), pp. 907-921.
    • (2002) Inverse Problems , vol.18 , pp. 907-921
    • ESKIN, G.1    RALSTON, J.2
  • 9
    • 34547169841 scopus 로고    scopus 로고
    • Reconstruction of obstacles immersed in an incompressible fluid
    • H. HECK, G. UHLMANN, AND J.-N. WANG, Reconstruction of obstacles immersed in an incompressible fluid, Inverse Probl. Imaging, 1 (2007), pp. 63-76.
    • (2007) Inverse Probl. Imaging , vol.1 , pp. 63-76
    • HECK, H.1    UHLMANN, G.2    WANG, J.-N.3
  • 11
    • 0034453432 scopus 로고    scopus 로고
    • Reconstruction of the support function for inclusion from boundary measurements
    • M. IKEHATA, Reconstruction of the support function for inclusion from boundary measurements, J. Inverse Ill-Posed Probl., 8 (2000), pp. 367-378.
    • (2000) J. Inverse Ill-Posed Probl , vol.8 , pp. 367-378
    • IKEHATA, M.1
  • 12
    • 0000157718 scopus 로고    scopus 로고
    • Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
    • M. IKEHATA AND S. SILTANEN, Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements, Inverse Problems, 16 (2000), pp. 1043-1052.
    • (2000) Inverse Problems , vol.16 , pp. 1043-1052
    • IKEHATA, M.1    SILTANEN, S.2
  • 14
    • 4043055312 scopus 로고    scopus 로고
    • Inverse Problems and Spectral Theory, Contemp. Math. 348, AMS, Providence, RI
    • M. IKEHATA, Mittag-Leffler's function and extracting from Cauchy data, in Inverse Problems and Spectral Theory, Contemp. Math. 348, AMS, Providence, RI, 2004, pp. 41-52.
    • (2004) Mittag-Leffler's function and extracting from Cauchy data , pp. 41-52
    • IKEHATA, M.1
  • 15
    • 4043143550 scopus 로고    scopus 로고
    • Electrical impedance tomography and Mittag-Leffler's function
    • M. IKEHATA AND S. SILTANEN, Electrical impedance tomography and Mittag-Leffler's function, Inverse Problems, 20 (2004), pp. 1325-1348.
    • (2004) Inverse Problems , vol.20 , pp. 1325-1348
    • IKEHATA, M.1    SILTANEN, S.2
  • 16
    • 10844292800 scopus 로고    scopus 로고
    • Inverse spectral problems on hyperbolic manifolds and their applications to inverse boundary value problems in Euclidean space
    • H. ISOZAKI, Inverse spectral problems on hyperbolic manifolds and their applications to inverse boundary value problems in Euclidean space, Amer. J. Math., 126 (2004), pp. 1261-1313.
    • (2004) Amer. J. Math , vol.126 , pp. 1261-1313
    • ISOZAKI, H.1
  • 17
    • 4444285163 scopus 로고    scopus 로고
    • Hyperbolic geometry and the local Dirichlet-to-Neumann map
    • H. ISOZAKI AND G. UHLMANN, Hyperbolic geometry and the local Dirichlet-to-Neumann map, Adv. Math., 188 (2004), pp. 294-314.
    • (2004) Adv. Math , vol.188 , pp. 294-314
    • ISOZAKI, H.1    UHLMANN, G.2
  • 18
    • 0035421328 scopus 로고    scopus 로고
    • Electrical resistance tomography to detect leaks from buried pipes
    • J. JORDANA, M. GASULLA, AND R. PALLAS- ARENY, Electrical resistance tomography to detect leaks from buried pipes, Meas. Sci. Technol., 12 (2001), pp. 1061-1068.
    • (2001) Meas. Sci. Technol , vol.12 , pp. 1061-1068
    • JORDANA, J.1    GASULLA, M.2    PALLAS- ARENY, R.3
  • 19
    • 0001607563 scopus 로고    scopus 로고
    • The inverse conductivity problem with one measurement: Stability and estimation of size
    • H. KANG. J. K. SEO, AND D. SHEEN, The inverse conductivity problem with one measurement: Stability and estimation of size, SIAM J. Math. Anal., 28 (1997), pp. 1389-1405.
    • (1997) SIAM J. Math. Anal , vol.28 , pp. 1389-1405
    • KANG, H.1    SEO, J.K.2    SHEEN, D.3
  • 20
  • 21
    • 0000135170 scopus 로고
    • Global uniqueness for an inverse boundary problem arising in elasticity
    • G. NAKAMURA AND G. UHLMANN, Global uniqueness for an inverse boundary problem arising in elasticity, Invent. Math., 118 (1994), pp. 457-474.
    • (1994) Invent. Math , vol.118 , pp. 457-474
    • NAKAMURA, G.1    UHLMANN, G.2
  • 22
    • 0038271642 scopus 로고    scopus 로고
    • G. NAKAMURA AND G. UHLMANN, Erratum: Global uniqueness for an inverse boundary value problem arising in elasticity, Invent. Math., 152 (2003), pp. 205-207.
    • G. NAKAMURA AND G. UHLMANN, Erratum: Global uniqueness for an inverse boundary value problem arising in elasticity, Invent. Math., 152 (2003), pp. 205-207.
  • 23
    • 34249701969 scopus 로고    scopus 로고
    • Complex geometric optics solutions and pseudoanalytic matrices
    • VSP, Zeist, The Netherlands
    • G. NAKAMURA AND G. UHLMANN, Complex geometric optics solutions and pseudoanalytic matrices, in Ill-Posed and Inverse Problems, VSP, Zeist, The Netherlands, 2002, pp. 305-338.
    • (2002) Ill-Posed and Inverse Problems , pp. 305-338
    • NAKAMURA, G.1    UHLMANN, G.2
  • 24
    • 0027510748 scopus 로고
    • Monitoring an underground steam injection process using electrical resistance tomography
    • A. RAMIREZ, W. DAILY, D. LABRECQUE, E. OWEN, AND D. CHESNUT, Monitoring an underground steam injection process using electrical resistance tomography, Water Resour. Res., 29 (1993), pp. 73-87.
    • (1993) Water Resour. Res , vol.29 , pp. 73-87
    • RAMIREZ, A.1    DAILY, W.2    LABRECQUE, D.3    OWEN, E.4    CHESNUT, D.5
  • 25
    • 0001281743 scopus 로고    scopus 로고
    • Detection of leaks in underground storage tanks using electrical resistance methods
    • A. RAMIREZ, W. DAILY, A. BINLEY, D. LABRECQUE, AND D. ROELANT, Detection of leaks in underground storage tanks using electrical resistance methods, J. Envir. Eng. Geophys., 1 (1996), pp. 189-203.
    • (1996) J. Envir. Eng. Geophys , vol.1 , pp. 189-203
    • RAMIREZ, A.1    DAILY, W.2    BINLEY, A.3    LABRECQUE, D.4    ROELANT, D.5
  • 26
    • 33846067188 scopus 로고    scopus 로고
    • Complex spherical waves and inverse problems in unbounded domains
    • M. SALO AND J.-N. WANG, Complex spherical waves and inverse problems in unbounded domains, Inverse Problems, 22 (2006), pp. 2299-2309.
    • (2006) Inverse Problems , vol.22 , pp. 2299-2309
    • SALO, M.1    WANG, J.-N.2
  • 27
    • 0034077577 scopus 로고    scopus 로고
    • Cross-hole electrical imaging of a controlled saline tracer injection
    • L. SLATER, A. M. BINLEY, W. DAILY, AND R. JOHNSON, Cross-hole electrical imaging of a controlled saline tracer injection, J. Appl. Geophys., 44 (2000), pp. 85-102.
    • (2000) J. Appl. Geophys , vol.44 , pp. 85-102
    • SLATER, L.1    BINLEY, A.M.2    DAILY, W.3    JOHNSON, R.4
  • 28
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • J. SYLVESTER AND G. UHLMANN, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math. (2), 125 (1987), pp. 153-169.
    • (1987) Ann. of Math. (2) , vol.125 , pp. 153-169
    • SYLVESTER, J.1    UHLMANN, G.2
  • 29
    • 49449084792 scopus 로고    scopus 로고
    • G. UHLMANN, Developments in inverse problems since Calderón's foundational paper, in Harmonic Analysis and Partial Differential Equations (Essays in Honor of Alberto P. Calderón), The University of Chicago Press, Chicago, IL, 1999, pp. 295-345.
    • G. UHLMANN, Developments in inverse problems since Calderón's foundational paper, in Harmonic Analysis and Partial Differential Equations (Essays in Honor of Alberto P. Calderón), The University of Chicago Press, Chicago, IL, 1999, pp. 295-345.
  • 30
    • 49449096513 scopus 로고    scopus 로고
    • G. UHLMANN, Commentary on Calderón's paper: On an inverse boundary value problem, in Selecta, Papers of Alberto P. Calderón, A. Bellow, C. E. Kenig, and P. Malliavin, eds.
    • G. UHLMANN, Commentary on Calderón's paper: On an inverse boundary value problem, in Selecta, Papers of Alberto P. Calderón, A. Bellow, C. E. Kenig, and P. Malliavin, eds.
  • 31
    • 36248988063 scopus 로고    scopus 로고
    • Complex spherical waves for the elasticity system and probing of inclusions
    • G. UHLMANN AND J.-N. WANG, Complex spherical waves for the elasticity system and probing of inclusions, SIAM J. Math. Anal., 38 (2007), pp. 1967-1980.
    • (2007) SIAM J. Math. Anal , vol.38 , pp. 1967-1980
    • UHLMANN, G.1    WANG, J.-N.2
  • 32
    • 0037352628 scopus 로고    scopus 로고
    • A review of electrical impedance techniques for breast cancer detection
    • Y. ZOU AND Z. GUO, A review of electrical impedance techniques for breast cancer detection, Med. Eng. Phys., 25 (2003), pp. 79-90.
    • (2003) Med. Eng. Phys , vol.25 , pp. 79-90
    • ZOU, Y.1    GUO, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.