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Volumn 67, Issue 5, 2007, Pages 1330-1352

Elastic scatterer reconstruction via the adjoint sampling method

Author keywords

Elastic waves; Inverse scattering; Linear sampling; Near field waveforms

Indexed keywords

ELASTODYNAMIC WAVEFORMS; INVERSE SCATTERING; LINEAR SAMPLING; NEAR-FIELD WAVEFORMS; TIKHONOV REGULARIZATION;

EID: 35348937114     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/060653123     Document Type: Article
Times cited : (15)

References (41)
  • 1
    • 0035473236 scopus 로고    scopus 로고
    • Linear sampling methods for 2D inverse elastic wave scattering
    • T. ARENS, Linear sampling methods for 2D inverse elastic wave scattering, Inverse Problems, 17 (2001), pp. 1445-1464.
    • (2001) Inverse Problems , vol.17 , pp. 1445-1464
    • ARENS, T.1
  • 2
    • 0001283067 scopus 로고
    • BIE and material differentiation applied to the formulation of obstacle inverse problems
    • M. BONNET, BIE and material differentiation applied to the formulation of obstacle inverse problems, Engrg. Anal. Bound. Elem., 15 (1995), pp. 121-136.
    • (1995) Engrg. Anal. Bound. Elem , vol.15 , pp. 121-136
    • BONNET, M.1
  • 3
    • 0018711879 scopus 로고
    • Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
    • A. BJÖRCK AND T. ELFVING, Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations, BIT, 19 (1979), pp. 145-163.
    • (1979) BIT , vol.19 , pp. 145-163
    • BJÖRCK, A.1    ELFVING, T.2
  • 4
    • 0029526165 scopus 로고
    • Multiscale seismic waveform inversion
    • C. BUNKS, F. M. SALECK, S. ZALESKI, AND G. CHAVENT, Multiscale seismic waveform inversion, Geophys., 60 (1995), pp. 1457-1473.
    • (1995) Geophys , vol.60 , pp. 1457-1473
    • BUNKS, C.1    SALECK, F.M.2    ZALESKI, S.3    CHAVENT, G.4
  • 5
    • 0036608511 scopus 로고    scopus 로고
    • The linear sampling method for the transmission problem in three-dimensional linear elasticity
    • A. CHARALAMBOPOULOS, D. GINTIDES, AND K. KIRIAKI, The linear sampling method for the transmission problem in three-dimensional linear elasticity, Inverse Problems, 18 (2002), pp. 547-558.
    • (2002) Inverse Problems , vol.18 , pp. 547-558
    • CHARALAMBOPOULOS, A.1    GINTIDES, D.2    KIRIAKI, K.3
  • 7
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • D. COLTON AND A. KIRSCH, A simple method for solving inverse scattering problems in the resonance region, Inverse Problems, 12 (1996), pp. 383-393.
    • (1996) Inverse Problems , vol.12 , pp. 383-393
    • COLTON, D.1    KIRSCH, A.2
  • 9
    • 0032097522 scopus 로고    scopus 로고
    • A linear sampling method for the detection of leukemia using microwaves
    • D. COLTON AND P. MONK, A linear sampling method for the detection of leukemia using microwaves, SIAM J. Appl. Math., 58 (1998), pp. 926-941.
    • (1998) SIAM J. Appl. Math , vol.58 , pp. 926-941
    • COLTON, D.1    MONK, P.2
  • 10
    • 0034497173 scopus 로고    scopus 로고
    • Regularized sampling method for solving threedimensional inverse scattering problems
    • D. COLTON, K. GIEBERMANN, AND P. MONK, Regularized sampling method for solving threedimensional inverse scattering problems, SIAM J. Sci. Comput., 21 (2000), pp. 2316-2330.
    • (2000) SIAM J. Sci. Comput , vol.21 , pp. 2316-2330
    • COLTON, D.1    GIEBERMANN, K.2    MONK, P.3
  • 11
    • 0034266332 scopus 로고    scopus 로고
    • Recent developments in inverse acoustic scattering theory
    • D. COLTON, J. COYLE, AND P. MONK, Recent developments in inverse acoustic scattering theory, SIAM Rev., 42 (2000), pp. 369-414.
    • (2000) SIAM Rev , vol.42 , pp. 369-414
    • COLTON, D.1    COYLE, J.2    MONK, P.3
  • 12
    • 29144474184 scopus 로고    scopus 로고
    • Enhancing the performance of model-based elastography by incorporating additional a priori information in the modulus image reconstruction process
    • M. M. DOYLEY, S. SRINIVASAN, E. DIMIDENKO, N. SONI, AND J. OPHIR, Enhancing the performance of model-based elastography by incorporating additional a priori information in the modulus image reconstruction process, Phys. Med. Biol., 51 (2006), pp. 95-112.
    • (2006) Phys. Med. Biol , vol.51 , pp. 95-112
    • DOYLEY, M.M.1    SRINIVASAN, S.2    DIMIDENKO, E.3    SONI, N.4    OPHIR, J.5
  • 16
    • 0034093935 scopus 로고    scopus 로고
    • Probing the dynamics of tissue at low frequencies with the radiation force of ultrasound
    • M. FATEMI AND J. F. GREENLEAF, Probing the dynamics of tissue at low frequencies with the radiation force of ultrasound, Phys. Med. Biol., 45 (1998), pp. 1449-1464.
    • (1998) Phys. Med. Biol , vol.45 , pp. 1449-1464
    • FATEMI, M.1    GREENLEAF, J.F.2
  • 18
    • 0035250183 scopus 로고    scopus 로고
    • On the analysis of wave motions in a multi-layered solid
    • B. B. GUZINA AND R. Y. S. PAK, On the analysis of wave motions in a multi-layered solid, Quart. J. Mech. Appl. Math., 54 (2001), pp. 13-37.
    • (2001) Quart. J. Mech. Appl. Math , vol.54 , pp. 13-37
    • GUZINA, B.B.1    PAK, R.Y.S.2
  • 19
    • 0037369306 scopus 로고    scopus 로고
    • On the stress-wave imaging of cavities in a semi-infinite solid
    • B. B. GUZINA, S. NINTCHEU FATA, AND M. BONNET, On the stress-wave imaging of cavities in a semi-infinite solid, Int. J. Solids Structures, 40 (2003), pp. 1505-1523.
    • (2003) Int. J. Solids Structures , vol.40 , pp. 1505-1523
    • GUZINA, B.B.1    NINTCHEU FATA, S.2    BONNET, M.3
  • 20
    • 3042595051 scopus 로고    scopus 로고
    • Topological derivative for the inverse scattering of elastic waves
    • B. B. GUZINA AND M. BONNET, Topological derivative for the inverse scattering of elastic waves, Quart. J. Mech. Appl. Math., 57 (2004), pp. 161-179.
    • (2004) Quart. J. Mech. Appl. Math , vol.57 , pp. 161-179
    • GUZINA, B.B.1    BONNET, M.2
  • 21
    • 33845230843 scopus 로고    scopus 로고
    • From imaging to material characterization: A generalized concept of topological sensitivity
    • B. B. GUZINA AND I. CHIKICHEV, From imaging to material characterization: A generalized concept of topological sensitivity, J. Mech. Phys. Solids, 55 (2007), pp. 245-279.
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 245-279
    • GUZINA, B.B.1    CHIKICHEV, I.2
  • 23
    • 1842455930 scopus 로고    scopus 로고
    • Determination of in-vivo elastic properties of soft tissue using magnetic resonance elastography
    • F. E. KENNEDY, M. M. DOYLEY, E. E. VAN HOUTEN, J. B. WEAVER, AND K. D. PAULSEN, Determination of in-vivo elastic properties of soft tissue using magnetic resonance elastography, ASME Adv. Bioengineering, 55 (2003), pp. 327-328.
    • (2003) ASME Adv. Bioengineering , vol.55 , pp. 327-328
    • KENNEDY, F.E.1    DOYLEY, M.M.2    VAN HOUTEN, E.E.3    WEAVER, J.B.4    PAULSEN, K.D.5
  • 27
    • 33645662721 scopus 로고    scopus 로고
    • A radiation condition for layered elastic media
    • A. I. MADYAROV AND B. B. GUZINA, A radiation condition for layered elastic media, J. Elasticity, 82 (2006), pp. 73-98.
    • (2006) J. Elasticity , vol.82 , pp. 73-98
    • MADYAROV, A.I.1    GUZINA, B.B.2
  • 31
    • 1242265146 scopus 로고    scopus 로고
    • Computational framework for the BIE solution to inverse scattering problems in elastodynamics
    • S. NINTCHEU FATA, B. B. GUZINA, AND M. BONNET, Computational framework for the BIE solution to inverse scattering problems in elastodynamics, Comp. Mech., 32 (2003), pp. 370-80.
    • (2003) Comp. Mech , vol.32 , pp. 370-380
    • NINTCHEU FATA, S.1    GUZINA, B.B.2    BONNET, M.3
  • 32
    • 3042618955 scopus 로고    scopus 로고
    • A linear sampling method for near-field inverse problems in elastodynamics
    • S. NINTCHEU FATA AND B. B. GUZINA, A linear sampling method for near-field inverse problems in elastodynamics, Inverse Problems, 20 (2004), pp. 713-736.
    • (2004) Inverse Problems , vol.20 , pp. 713-736
    • NINTCHEU FATA, S.1    GUZINA, B.B.2
  • 33
    • 0344200029 scopus 로고    scopus 로고
    • Seismic soil-structure interaction analysis by direct boundary element methods
    • R. Y. S. PAK AND B. B. GUZINA, Seismic soil-structure interaction analysis by direct boundary element methods, Int. J. Solids Structures, 36 (1999), pp. 4743-4766.
    • (1999) Int. J. Solids Structures , vol.36 , pp. 4743-4766
    • PAK, R.Y.S.1    GUZINA, B.B.2
  • 34
    • 0037293509 scopus 로고    scopus 로고
    • Inverse scattering by penetrable objects in two-dimensional elastodynamics
    • G. PELEKANOS AND V. SEVROGLOU, Inverse scattering by penetrable objects in two-dimensional elastodynamics, J. Comput. Appl. Math., 151 (2003), pp. 129-140.
    • (2003) J. Comput. Appl. Math , vol.151 , pp. 129-140
    • PELEKANOS, G.1    SEVROGLOU, V.2
  • 35
    • 0032226422 scopus 로고    scopus 로고
    • Waveform inversion of reflection seismic data for kinematic parameters by local optimization
    • R. E. PLESSIX, Y. H. DE ROECK, AND G. CHAVENT, Waveform inversion of reflection seismic data for kinematic parameters by local optimization, SIAM J. Sci. Comput., 20 (1999), pp. 1033-1052.
    • (1999) SIAM J. Sci. Comput , vol.20 , pp. 1033-1052
    • PLESSIX, R.E.1    DE ROECK, Y.H.2    CHAVENT, G.3
  • 36
    • 35348984386 scopus 로고    scopus 로고
    • R. G. PRATT, F. C. GAO, C. ZELT, AND A. LEVANDER, The complementary nature oftraveltime and waveform tomography, in Proceedings of the International Conference on Sub-basalt Imaging, Cambridge, UK, 2002; see J. Conference Abstracts, 7 (2002), pp. 181-183 (electronic).
    • R. G. PRATT, F. C. GAO, C. ZELT, AND A. LEVANDER, The complementary nature oftraveltime and waveform tomography, in Proceedings of the International Conference on Sub-basalt Imaging, Cambridge, UK, 2002; see J. Conference Abstracts, 7 (2002), pp. 181-183 (electronic).
  • 37
    • 0141959071 scopus 로고    scopus 로고
    • Preconditioning conjugate gradient with symmetric algebraic reconstruction technique (ART) in computerized tomography
    • R. J. SANTOS, Preconditioning conjugate gradient with symmetric algebraic reconstruction technique (ART) in computerized tomography, Appl. Numer. Math., 47 (2003), pp. 255-263.
    • (2003) Appl. Numer. Math , vol.47 , pp. 255-263
    • SANTOS, R.J.1
  • 40
    • 0036609030 scopus 로고    scopus 로고
    • Numerical validation of the linear sampling method
    • A. TACCHINO, J. COYLE, AND M. PIANA, Numerical validation of the linear sampling method, Inverse Problems, 18 (2002), pp. 511-527.
    • (2002) Inverse Problems , vol.18 , pp. 511-527
    • TACCHINO, A.1    COYLE, J.2    PIANA, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.