메뉴 건너뛰기




Volumn 22, Issue 5, 2006, Pages 1835-1853

A linear sampling method for the inverse transmission problem in near-field elastodynamics

Author keywords

[No Author keywords available]

Indexed keywords

GREEN'S FUNCTION; IMAGE RECONSTRUCTION; INTEGRAL EQUATIONS; PROBLEM SOLVING; SAMPLING; SET THEORY;

EID: 33749014668     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/5/018     Document Type: Article
Times cited : (21)

References (40)
  • 1
    • 0036471656 scopus 로고    scopus 로고
    • On the far-field operator in elastic obstacle scattering
    • Alves C J S and Kress R 2002 On the far-field operator in elastic obstacle scattering IMA J. Appl. Math. 67 1-21
    • (2002) IMA J. Appl. Math. , vol.67 , Issue.1 , pp. 1-21
    • Alves, C.J.S.1    Kress, R.2
  • 2
    • 0035473236 scopus 로고    scopus 로고
    • Linear sampling methods for 2D inverse elastic wave scattering
    • Arens T 2001 Linear sampling methods for 2D inverse elastic wave scattering Inverse Problems 17 1445-64
    • (2001) Inverse Problems , vol.17 , Issue.5 , pp. 1445-1464
    • Arens, T.1
  • 3
    • 0037106174 scopus 로고    scopus 로고
    • The linear sampling method for anisotropic media
    • Cakoni F, Colton D and Haddar H 2002 The linear sampling method for anisotropic media J. Comput. Appl. Math. 146 285-99
    • (2002) J. Comput. Appl. Math. , vol.146 , Issue.2 , pp. 285-299
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 4
    • 33749008647 scopus 로고    scopus 로고
    • Cakoni F and Haddar H 2001 The linear sampling method for anisotropic media: part II Preprint 2001/26, MSRI, Berkeley, CA
    • (2001)
    • Cakoni, F.1    Haddar, H.2
  • 5
    • 0036608511 scopus 로고    scopus 로고
    • The linear sampling method for the transmission problem in three-dimensional linear elasticity
    • Charalambopoulos A, Gintides D and Kiriaki K 2002 The linear sampling method for the transmission problem in three-dimensional linear elasticity Inverse Problems 18 1-12
    • (2002) Inverse Problems , vol.18 , Issue.1 , pp. 1-12
    • Charalambopoulos, A.1    Gintides, D.2    Kiriaki, K.3
  • 6
    • 0038339468 scopus 로고    scopus 로고
    • The linear sampling method for non-absorbing penetrable elastic bodies
    • Charalambopoulos A, Gintides D and Kiriaki K 2003 The linear sampling method for non-absorbing penetrable elastic bodies Inverse Problems 19 549-61
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 549-561
    • Charalambopoulos, A.1    Gintides, D.2    Kiriaki, K.3
  • 7
    • 0344193428 scopus 로고    scopus 로고
    • On the interior transmission problem in nondissipative, inhomogeneous, anisotropic elasticity
    • Charalambopoulos A 2002 On the interior transmission problem in nondissipative, inhomogeneous, anisotropic elasticity J. Elast. 67 149-70
    • (2002) J. Elast. , vol.67 , Issue.2 , pp. 149-170
    • Charalambopoulos, A.1
  • 8
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • Colton D and Kirsch A 1996 A simple method for solving inverse scattering problems in the resonance region Inverse Problems 12 383-93
    • (1996) Inverse Problems , vol.12 , Issue.4 , pp. 383-393
    • Colton, D.1    Kirsch, A.2
  • 9
    • 3343011404 scopus 로고    scopus 로고
    • A simple method using Morozov's discrepancy principle for solving scattering problems
    • Colton D, Piana M and Potthast R 1999 A simple method using Morozov's discrepancy principle for solving scattering problems Inverse Problems 13 1477-93
    • (1999) Inverse Problems , vol.13 , pp. 1477-1493
    • Colton, D.1    Piana, M.2    Potthast, R.3
  • 10
    • 0034266332 scopus 로고    scopus 로고
    • Recent developments in inverse acoustic scattering theory
    • Colton D, Coyle J and Monk P 2000 Recent developments in inverse acoustic scattering theory SIAM Rev. 42 369-414
    • (2000) SIAM Rev. , vol.42 , Issue.3 , pp. 369-414
    • Colton, D.1    Coyle, J.2    Monk, P.3
  • 11
    • 0034497173 scopus 로고    scopus 로고
    • Regularized sampling method for solving three-dimensional inverse scattering problems
    • Colton D, Giebermann K and Monk P 2000 Regularized sampling method for solving three-dimensional inverse scattering problems SIAM J. Sci. Comput. 21 2316-30
    • (2000) SIAM J. Sci. Comput. , vol.21 , Issue.6 , pp. 2316-2330
    • Colton, D.1    Giebermann, K.2    Monk, P.3
  • 13
    • 0035841370 scopus 로고    scopus 로고
    • On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces
    • Colton D and Kress R 2001 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces Math. Methods Appl. Sci. 24 1289-03
    • (2001) Math. Methods Appl. Sci. , vol.24 , Issue.16 , pp. 1289-1303
    • Colton, D.1    Kress, R.2
  • 14
    • 0031559367 scopus 로고    scopus 로고
    • Inverse scattering from an orthotropic medium
    • Colton D, Kress R and Monk P 1997 Inverse scattering from an orthotropic medium J. Comput. Appl. Math. 81 269-98
    • (1997) J. Comput. Appl. Math. , vol.81 , Issue.2 , pp. 269-298
    • Colton, D.1    Kress, R.2    Monk, P.3
  • 15
    • 0032097522 scopus 로고    scopus 로고
    • Linear sampling method for the detection of leukemia using microwaves
    • Colton D and Monk P 1998 Linear sampling method for the detection of leukemia using microwaves SIAM J. Appl. Math. 58 926-41
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.3 , pp. 926-941
    • Colton, D.1    Monk, P.2
  • 16
    • 0342374999 scopus 로고    scopus 로고
    • Linear sampling method for the detection of leukemia using microwaves: II
    • Colton D and Monk P 1999 Linear sampling method for the detection of leukemia using microwaves: II SIAM J. Appl. Math. 60 241-55
    • (1999) SIAM J. Appl. Math. , vol.60 , Issue.1 , pp. 241-255
    • Colton, D.1    Monk, P.2
  • 17
    • 0029394259 scopus 로고
    • Elastic Herglotz functions
    • Dassios G and Rigou Z 1995 Elastic Herglotz functions SIAM J. Appl. Math. 55 1345-61
    • (1995) SIAM J. Appl. Math. , vol.55 , Issue.5 , pp. 1345-1361
    • Dassios, G.1    Rigou, Z.2
  • 18
    • 0002427719 scopus 로고
    • On the continuity dependence of elastic scattering amplitudes upon the shape of the scatterer
    • Gintides D and Kiriaki K 1992 On the continuity dependence of elastic scattering amplitudes upon the shape of the scatterer Inverse Problems 8 95-118
    • (1992) Inverse Problems , vol.8 , Issue.1 , pp. 95-118
    • Gintides, D.1    Kiriaki, K.2
  • 19
    • 22844456564 scopus 로고    scopus 로고
    • The inverse scattering problem in three-dimensional elasticity
    • Gintides D 1999 The inverse scattering problem in three-dimensional elasticity Z. Angew. Math. Mech. 79 675-84
    • (1999) Z. Angew. Math. Mech. , vol.79 , Issue.10 , pp. 675-684
    • Gintides, D.1
  • 20
    • 23044526151 scopus 로고    scopus 로고
    • The far-field equations in linear elasticity-an inversion scheme
    • Gintides D and Kiriaki K 2001 The far-field equations in linear elasticity-an inversion scheme Z. Angew. Math. Mech. 81 305-16
    • (2001) Z. Angew. Math. Mech. , vol.81 , Issue.5 , pp. 305-316
    • Gintides, D.1    Kiriaki, K.2
  • 21
    • 0035250183 scopus 로고    scopus 로고
    • On the analysis of wave motions in a multi-layered solid
    • Guzina B B and Pak R Y S 2001 On the analysis of wave motions in a multi-layered solid Q. J. Mech. Appl. Math. 54 13-37
    • (2001) Q. J. Mech. Appl. Math. , vol.54 , Issue.1 , pp. 13-37
    • Guzina, B.B.1    Pak, R.Y.S.2
  • 22
    • 0037369306 scopus 로고    scopus 로고
    • On the stress-wave imaging of cavities in a semi-infinite solid
    • Guzina B B, Nintcheu Fata S and Bonnet M 2003 On the stress-wave imaging of cavities in a semi-infinite solid Int. J. Solids Struct. 40 1505-23
    • (2003) Int. J. Solids Struct. , vol.40 , Issue.6 , pp. 1505-1523
    • Guzina, B.B.1    Nintcheu Fata, S.2    Bonnet, M.3
  • 23
    • 33749030867 scopus 로고    scopus 로고
    • Guzina B B and Madyarov A 2006 A probe method for inverse scattering in layered elastic solids (in preparation)
    • (2006)
    • Guzina, B.B.1    Madyarov, A.2
  • 24
    • 0036608331 scopus 로고    scopus 로고
    • The linear sampling method for solving the electromagnetic inverse medium problem
    • Haddar H and Monk P 2002 The linear sampling method for solving the electromagnetic inverse medium problem Inverse Problems 18 891-906
    • (2002) Inverse Problems , vol.18 , Issue.3 , pp. 891-906
    • Haddar, H.1    Monk, P.2
  • 29
    • 33645662721 scopus 로고    scopus 로고
    • A radiation condition for layered elastic media
    • Madyarov A I and Guzina B B 2006 A radiation condition for layered elastic media J. Elast. 82 73-98
    • (2006) J. Elast. , vol.82 , Issue.1 , pp. 73-98
    • Madyarov, A.I.1    Guzina, B.B.2
  • 30
    • 0025475459 scopus 로고
    • On the scattering of elastic waves by an elastic inclusion in two dimensions
    • Martin P A 1990 On the scattering of elastic waves by an elastic inclusion in two dimensions Q. J. Mech. Appl. Math. 43 275-91
    • (1990) Q. J. Mech. Appl. Math. , vol.43 , pp. 275-291
    • Martin, P.A.1
  • 33
    • 3042618955 scopus 로고    scopus 로고
    • A linear sampling method for near-field inverse problems in elastodynamics
    • Nintcheu Fata S and Guzina B B 2004 A linear sampling method for near-field inverse problems in elastodynamics Inverse Problems 20 713-36
    • (2004) Inverse Problems , vol.20 , Issue.3 , pp. 713-736
    • Nintcheu Fata, S.1    Guzina, B.B.2
  • 34
    • 33749034044 scopus 로고    scopus 로고
    • Elastic scatterer reconstruction via the regularized sampling method
    • Nintcheu Fata S and Guzina B B 2006 Elastic scatterer reconstruction via the regularized sampling method SIAM J. Appl. Math submitted
    • (2006) SIAM J. Appl. Math
    • Nintcheu Fata, S.1    Guzina, B.B.2
  • 35
    • 33748991879 scopus 로고    scopus 로고
    • Nintcheu Fata S 2003 3D Subterranean imaging via elastic waves PhD Thesis University of Minnesota
    • (2003) PhD Thesis
    • Nintcheu Fata, S.1
  • 36
    • 0023306595 scopus 로고
    • Asymmetric wave propagation in a half-space by a method of potentials
    • Pak R Y S 1987 Asymmetric wave propagation in a half-space by a method of potentials J. Appl. Mech. ASME 54 121-6
    • (1987) J. Appl. Mech. ASME , vol.54 , pp. 121-126
    • Pak, R.Y.S.1
  • 37
    • 0344200029 scopus 로고    scopus 로고
    • Seismic soil-structure interaction analysis by direct boundary element methods
    • Pak R Y S and Guzina B B 1999 Seismic soil-structure interaction analysis by direct boundary element methods Int. J. Solids Struct. 26 4743-66
    • (1999) Int. J. Solids Struct. , vol.36 , Issue.31-32 , pp. 4743-4766
    • Pak, R.Y.S.1    Guzina, B.B.2
  • 38
    • 0037293509 scopus 로고    scopus 로고
    • Inverse scattering by penetrable objects in two-dimensional elastodynamics
    • Pelekanos G and Sevroglou V 2003 Inverse scattering by penetrable objects in two-dimensional elastodynamics J. Comput. Appl. Math. 151 129-40
    • (2003) J. Comput. Appl. Math. , vol.151 , Issue.1 , pp. 129-140
    • Pelekanos, G.1    Sevroglou, V.2
  • 39
    • 0023382796 scopus 로고
    • Wave-equation trace interpolation
    • Ronen J 1987 Wave-equation trace interpolation Geophysics 52 973-84
    • (1987) Geophysics , vol.52 , Issue.7 , pp. 973-984
    • Ronen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.