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Volumn 47, Issue 9, 2010, Pages 1221-1242

A FEM-based topological sensitivity approach for fast qualitative identification of buried cavities from elastodynamic overdetermined boundary data

Author keywords

Adjoint solution method; Elastodynamics; Finite element method; Inverse scattering; Time domain topological sensitivity

Indexed keywords

DEFECTS; ELASTIC WAVES; FINITE ELEMENT METHOD; TOPOLOGY;

EID: 77249166497     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.01.011     Document Type: Article
Times cited : (24)

References (35)
  • 2
    • 25844436983 scopus 로고    scopus 로고
    • Structural optimization using topological and shape sensitivity via a level-set method
    • Allaire G., de Gournay F., Jouve F., and Toader A.-M. Structural optimization using topological and shape sensitivity via a level-set method. Control Cybern. 34 (2005) 59-80
    • (2005) Control Cybern. , vol.34 , pp. 59-80
    • Allaire, G.1    de Gournay, F.2    Jouve, F.3    Toader, A.-M.4
  • 3
    • 18144380854 scopus 로고    scopus 로고
    • Reconstruction of small inhomogeneities from boundary measurements
    • Springer, Berlin
    • Ammari H., and Kang H. Reconstruction of small inhomogeneities from boundary measurements. Lecture Notes in Mathematics vol. 1846 (2004), Springer, Berlin
    • (2004) Lecture Notes in Mathematics , vol.1846
    • Ammari, H.1    Kang, H.2
  • 4
    • 33747622771 scopus 로고    scopus 로고
    • Reconstruction of elastic inclusions of small volume via dynamic measurements
    • Ammari H., and Kang H. Reconstruction of elastic inclusions of small volume via dynamic measurements. Appl. Math. Opt. 54 (2006) 223-235
    • (2006) Appl. Math. Opt. , vol.54 , pp. 223-235
    • Ammari, H.1    Kang, H.2
  • 5
    • 84941785898 scopus 로고    scopus 로고
    • Polarization and moment tensors with applications to inverse problems and effective medium theory
    • Springer, Berlin
    • Ammari H., and Kang H. Polarization and moment tensors with applications to inverse problems and effective medium theory. Applied Mathematical Sciences vol. 162 (2007), Springer, Berlin
    • (2007) Applied Mathematical Sciences , vol.162
    • Ammari, H.1    Kang, H.2
  • 7
    • 0035473236 scopus 로고    scopus 로고
    • Linear sampling methods for 2D inverse elastic wave scattering
    • Arens T. Linear sampling methods for 2D inverse elastic wave scattering. Inverse Probl. 17 (2001) 1445-1464
    • (2001) Inverse Probl. , vol.17 , pp. 1445-1464
    • Arens, T.1
  • 8
    • 65049090686 scopus 로고    scopus 로고
    • Crack identification by 3D time-domain elastic or acoustic topological sensitivity
    • Bellis C., and Bonnet M. Crack identification by 3D time-domain elastic or acoustic topological sensitivity. C. R. Mécanique 337 (2009) 124-130
    • (2009) C. R. Mécanique , vol.337 , pp. 124-130
    • Bellis, C.1    Bonnet, M.2
  • 9
    • 0001283067 scopus 로고
    • BIE and material differentiation applied to the formulation of obstacle inverse problems
    • Bonnet M. BIE and material differentiation applied to the formulation of obstacle inverse problems. Eng. Anal. Bound. Elem. 15 (1995) 121-136
    • (1995) Eng. Anal. Bound. Elem. , vol.15 , pp. 121-136
    • Bonnet, M.1
  • 10
    • 33744911745 scopus 로고    scopus 로고
    • Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
    • Bonnet M. Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain. Comput. Meth. Appl. Mech. Eng. 195 (2006) 5239-5254
    • (2006) Comput. Meth. Appl. Mech. Eng. , vol.195 , pp. 5239-5254
    • Bonnet, M.1
  • 11
    • 44449097006 scopus 로고    scopus 로고
    • Inverse acoustic scattering by small-obstacle expansion of misfit function
    • Bonnet M. Inverse acoustic scattering by small-obstacle expansion of misfit function. Inverse Probl. 24 (2008) 035022
    • (2008) Inverse Probl. , vol.24 , pp. 035022
    • Bonnet, M.1
  • 12
    • 63249132989 scopus 로고    scopus 로고
    • Higher-order topological sensitivity for 2D potential problems. Application to fast identification of inclusions
    • Bonnet M. Higher-order topological sensitivity for 2D potential problems. Application to fast identification of inclusions. Int. J. Solids Struct. 46 (2009) 2275-2292
    • (2009) Int. J. Solids Struct. , vol.46 , pp. 2275-2292
    • Bonnet, M.1
  • 13
    • 10844250303 scopus 로고    scopus 로고
    • Sounding of finite solid bodies by way of topological derivative
    • Bonnet M., and Guzina B.B. Sounding of finite solid bodies by way of topological derivative. Int. J. Numer. Meth. Eng. 61 (2004) 2344-2373
    • (2004) Int. J. Numer. Meth. Eng. , vol.61 , pp. 2344-2373
    • Bonnet, M.1    Guzina, B.B.2
  • 14
    • 56549105167 scopus 로고    scopus 로고
    • Elastic-wave identification of penetrable obstacles using shape-material sensitivity framework
    • Bonnet M., and Guzina B.B. Elastic-wave identification of penetrable obstacles using shape-material sensitivity framework. J. Comput. Phys. 228 (2009) 294-311
    • (2009) J. Comput. Phys. , vol.228 , pp. 294-311
    • Bonnet, M.1    Guzina, B.B.2
  • 15
    • 0025577199 scopus 로고
    • Limits of self-focusing using closed time-reversal cavities and mirrors - theory and experiment
    • Cassereau, D., Wu, F., Fink, M., 1990. Limits of self-focusing using closed time-reversal cavities and mirrors - theory and experiment. In: IEEE Ultrasonics Symposium, vol. 3, pp. 1613-1618.
    • (1990) IEEE Ultrasonics Symposium , vol.3 , pp. 1613-1618
    • Cassereau, D.1    Wu, F.2    Fink, M.3
  • 16
    • 52749087179 scopus 로고    scopus 로고
    • Generalized topological derivative for the Navier equation and inverse scattering in the time domain
    • Chikichev I., and Guzina B.B. Generalized topological derivative for the Navier equation and inverse scattering in the time domain. Comput. Meth. Appl. Mech. Eng. 197 (2008) 4467-4484
    • (2008) Comput. Meth. Appl. Mech. Eng. , vol.197 , pp. 4467-4484
    • Chikichev, I.1    Guzina, B.B.2
  • 17
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • Colton D., and Kirsch A. A simple method for solving inverse scattering problems in the resonance region. Inverse Probl. 12 (1996) 383-393
    • (1996) Inverse Probl. , vol.12 , pp. 383-393
    • Colton, D.1    Kirsch, A.2
  • 19
    • 17144405698 scopus 로고    scopus 로고
    • Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection
    • Dominguez N., Gibiat V., and Esquerré Y. Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection. Wave Motion 42 (2005) 31-52
    • (2005) Wave Motion , vol.42 , pp. 31-52
    • Dominguez, N.1    Gibiat, V.2    Esquerré, Y.3
  • 21
  • 22
    • 10844274795 scopus 로고    scopus 로고
    • A new method in inverse scattering based on the topological derivative
    • Feijóo G.R. A new method in inverse scattering based on the topological derivative. Inverse Probl. 20 (2004) 1819-1840
    • (2004) Inverse Probl. , vol.20 , pp. 1819-1840
    • Feijóo, G.R.1
  • 23
    • 3042826623 scopus 로고    scopus 로고
    • Identification of cracks and cavities using the topological sensitivity boundary integral equation
    • Gallego R., and Rus G. Identification of cracks and cavities using the topological sensitivity boundary integral equation. Comput. Mech. 33 (2004) 154-163
    • (2004) Comput. Mech. , vol.33 , pp. 154-163
    • Gallego, R.1    Rus, G.2
  • 24
    • 0035665129 scopus 로고    scopus 로고
    • The topological asymptotic for PDE systems: the elasticity case
    • Garreau S., Guillaume P., and Masmoudi M. The topological asymptotic for PDE systems: the elasticity case. SIAM J. Control Optim. 39 (2001) 1756-1778
    • (2001) SIAM J. Control Optim. , vol.39 , pp. 1756-1778
    • Garreau, S.1    Guillaume, P.2    Masmoudi, M.3
  • 25
    • 3042595051 scopus 로고    scopus 로고
    • Topological derivative for the inverse scattering of elastic waves
    • Guzina B.B., and Bonnet M. Topological derivative for the inverse scattering of elastic waves. Quart. J. Mech. Appl. Math. 57 (2004) 161-179
    • (2004) Quart. J. Mech. Appl. Math. , vol.57 , pp. 161-179
    • Guzina, B.B.1    Bonnet, M.2
  • 26
    • 33749026089 scopus 로고    scopus 로고
    • Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
    • Guzina B.B., and Bonnet M. Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics. Inverse Probl. 22 (2006) 1761-1785
    • (2006) Inverse Probl. , vol.22 , pp. 1761-1785
    • Guzina, B.B.1    Bonnet, M.2
  • 29
    • 44549086010 scopus 로고    scopus 로고
    • On the topological sensitivity of transient acoustic fields
    • Malcolm A., and Guzina B. On the topological sensitivity of transient acoustic fields. Wave Motion 45 (2008) 821-834
    • (2008) Wave Motion , vol.45 , pp. 821-834
    • Malcolm, A.1    Guzina, B.2
  • 30
    • 17444421198 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Maxwell equations and some applications
    • Masmoudi M., Pommier J., and Samet B. The topological asymptotic expansion for the Maxwell equations and some applications. Inverse Probl. 21 (2005) 547-564
    • (2005) Inverse Probl. , vol.21 , pp. 547-564
    • Masmoudi, M.1    Pommier, J.2    Samet, B.3
  • 31
    • 3042618955 scopus 로고    scopus 로고
    • A linear sampling method for near-field inverse problems in elastodynamics
    • Nintcheu Fata S., and Guzina B.B. A linear sampling method for near-field inverse problems in elastodynamics. Inverse Probl. 20 (2004) 713-736
    • (2004) Inverse Probl. , vol.20 , pp. 713-736
    • Nintcheu Fata, S.1    Guzina, B.B.2
  • 32
    • 35348937114 scopus 로고    scopus 로고
    • Elastic scatterer reconstruction via the adjoint sampling method
    • Nintcheu Fata S., and Guzina B.B. Elastic scatterer reconstruction via the adjoint sampling method. SIAM J. Appl. Math. 67 (2007) 1330-1352
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 1330-1352
    • Nintcheu Fata, S.1    Guzina, B.B.2
  • 33
    • 33645279797 scopus 로고    scopus 로고
    • A survey on sampling and probe methods for inverse problems
    • Potthast R. A survey on sampling and probe methods for inverse problems. Inverse Probl. 22 (2006) R1-R47
    • (2006) Inverse Probl. , vol.22
    • Potthast, R.1
  • 35
    • 0032681559 scopus 로고    scopus 로고
    • On the topological derivative in shape optimization
    • Sokolowski J., and Zochowski A. On the topological derivative in shape optimization. SIAM J. Control Optim. 37 (1999) 1251-1272
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 1251-1272
    • Sokolowski, J.1    Zochowski, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.