메뉴 건너뛰기




Volumn 1, Issue 2, 2008, Pages 169-187

Direct elastic imaging of a small inclusion

Author keywords

Asymptotic formula; Detection; Elasticity; MUSIC type algorithm; Reconstruction; Small inclusion

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTIC WAVES; ELASTICITY; ERROR DETECTION; IMAGE RECONSTRUCTION; WAVELET ANALYSIS;

EID: 62649087418     PISSN: None     EISSN: 19364954     Source Type: Journal    
DOI: 10.1137/070696076     Document Type: Article
Times cited : (54)

References (18)
  • 1
    • 0017271301 scopus 로고
    • On the two-dimensional exterior boundary-value problems of elasticity
    • J.F. Ahner and G.C. Hsiao, On the two-dimensional exterior boundary-value problems of elasticity, SIAM J. Appl. Math., 31 (1976), pp. 677-685.
    • (1976) SIAM J. Appl. Math. , vol.31 , pp. 677-685
    • Ahner, J.F.1    Hsiao, G.C.2
  • 2
    • 24644480713 scopus 로고    scopus 로고
    • A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency
    • H. Ammari, E. Iakovleva, and D. Lesselier, A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency, Multiscale Model. Simul., 3 (2005), pp. 597-628.
    • (2005) Multiscale Model. Simul. , vol.3 , pp. 597-628
    • Ammari, H.1    Iakovleva, E.2    Lesselier, D.3
  • 3
    • 33144462943 scopus 로고    scopus 로고
    • Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency
    • H. Ammari, E. Iakovleva, and D. Lesselier, Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency, SIAM J. Sci. Comput., 27 (2005), pp. 130-158.
    • (2005) SIAM J. Sci. Comput. , vol.27 , pp. 130-158
    • Ammari, H.1    Iakovleva, E.2    Lesselier, D.3
  • 4
    • 34548417185 scopus 로고    scopus 로고
    • MUSIC-type electromagnetic imaging of a collection of small three-dimensional inclusions
    • H. Ammari, E. Iakovleva, D. Lesselier, and G. Perrusson, MUSIC-type electromagnetic imaging of a collection of small three-dimensional inclusions, SIAM J. Sci. Comput., 29 (2007), pp. 674-709.
    • (2007) SIAM J. Sci. Comput. , vol.29 , pp. 674-709
    • Ammari, H.1    Iakovleva, E.2    Lesselier, D.3    Perrusson, G.4
  • 5
    • 29144503297 scopus 로고    scopus 로고
    • Reconstruction of a small inclusion in a two-dimensional open waveguide
    • H. Ammari, E. Iakovleva, and H. Kang, Reconstruction of a small inclusion in a two-dimensional open waveguide, SIAM J. Appl. Math., 65 (2005), pp. 2107-2127.
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 2107-2127
    • Ammari, H.1    Iakovleva, E.2    Kang, H.3
  • 6
    • 10844268349 scopus 로고    scopus 로고
    • Reconstruction of Small Inhomogeneities from Boundary Measurements
    • Springer-Verlag, Berlin
    • H. Ammari and H. Kang, Reconstruction of Small Inhomogeneities from Boundary Measurements, Lecture Notes in Math. 1846, Springer-Verlag, Berlin, 2004.
    • (2004) Lecture Notes in Math. , pp. 1846
    • Ammari, H.1    Kang, H.2
  • 7
    • 33847340118 scopus 로고    scopus 로고
    • A boundary integral method for computing elastic moment tensors for ellipses and ellipsoids
    • H. Ammari, H. Kang, and H. Lee, A boundary integral method for computing elastic moment tensors for ellipses and ellipsoids, J. Comput. Math., 25 (2007), pp. 2-12.
    • (2007) J. Comput. Math. , vol.25 , pp. 2-12
    • Ammari, H.1    Kang, H.2    Lee, H.3
  • 8
    • 84941785898 scopus 로고    scopus 로고
    • Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory
    • Springer-Verlag, New York
    • H. Ammari and H. Kang, Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory, Appl. Math. Sci. 162, Springer-Verlag, New York, 2007.
    • (2007) Appl. Math. Sci. , pp. 162
    • Ammari, H.1    Kang, H.2
  • 9
  • 10
    • 0035419161 scopus 로고    scopus 로고
    • The linear sampling method and the MUSIC algorithm
    • M. Cheney, The linear sampling method and the MUSIC algorithm, Inverse Problems, 17 (2001), pp. 591-595.
    • (2001) Inverse Problems , vol.17 , pp. 591-595
    • Cheney, M.1
  • 11
    • 0004268610 scopus 로고    scopus 로고
    • Low Frequency Scattering
    • The Clarendon Press, Oxford University Press, New York
    • G. Dassios and R.E. Kleinman, Low Frequency Scattering, Oxford Sci. Publ., The Clarendon Press, Oxford University Press, New York, 2000.
    • (2000) Oxford Sci. Publ.
    • Dassios, G.1    Kleinman, R.E.2
  • 12
    • 19144373054 scopus 로고    scopus 로고
    • Time reversal imaging of obscured targets from multistatic data
    • A.J. Devaney, Time reversal imaging of obscured targets from multistatic data, IEEE Trans. Antennas and Propagation, 523 (2005), pp. 1600-1610.
    • (2005) IEEE Trans. Antennas and Propagation , vol.523 , pp. 1600-1610
    • Devaney, A.J.1
  • 13
    • 55149103735 scopus 로고    scopus 로고
    • An asymptotic factorization method for inverse electromagnetic scattering in layered media
    • R. Griesmaier, An asymptotic factorization method for inverse electromagnetic scattering in layered media, SIAM J. Appl. Math., 68 (2008), pp. 1378-1403.
    • (2008) SIAM J. Appl. Math. , vol.68 , pp. 1378-1403
    • Griesmaier, R.1
  • 14
    • 0037663749 scopus 로고    scopus 로고
    • Identification of elastic inclusions and elastic moment tensors by boundary measurements
    • H. Kang, E. Kim, and J.-Y. Lee, Identification of elastic inclusions and elastic moment tensors by boundary measurements, Inverse Problems, 19 (2003), pp. 703-724.
    • (2003) Inverse Problems , vol.19 , pp. 703-724
    • Kang, H.1    Kim, E.2    Lee, J.-Y.3
  • 15
    • 36749034967 scopus 로고    scopus 로고
    • Numerical reconstruction of a cluster of small elastic inclusions
    • H. Kang, E. Kim, and J.-Y. Lee, Numerical reconstruction of a cluster of small elastic inclusions, Inverse Problems, 23 (2007), pp. 2311-2324.
    • (2007) Inverse Problems , vol.23 , pp. 2311-2324
    • Kang, H.1    Kim, E.2    Lee, J.-Y.3
  • 16
    • 0036685546 scopus 로고    scopus 로고
    • The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media
    • A. Kirsch, The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media, Inverse Problems, 18 (2002), pp. 1025-1040.
    • (2002) Inverse Problems , vol.18 , pp. 1025-1040
    • Kirsch, A.1
  • 18
    • 0037490810 scopus 로고    scopus 로고
    • Experimental subwavelength localization of the scatterers by decomposition of the time reversal operator interpreted as a covariance matrix
    • C. Prada and J.-L. Thomas, Experimental subwavelength localization of the scatterers by decomposition of the time reversal operator interpreted as a covariance matrix, J. Acoust. Soc. Am., 114 (2003), pp. 235-243.
    • (2003) J. Acoust. Soc. Am. , vol.114 , pp. 235-243
    • Prada, C.1    Thomas, J.-L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.