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Volumn 29, Issue 10, 2013, Pages

Linear sampling method for the heat equation with inclusions

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY MEASUREMENTS; HEAT CONDUCTORS; INTERIOR TRANSMISSION PROBLEMS; INVERSE BOUNDARY VALUE PROBLEM; INVERSE SCATTERING PROBLEMS; LINEAR SAMPLING METHODS; PARABOLIC EQUATIONS; SAMPLING TYPES;

EID: 84884666434     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/29/10/104015     Document Type: Article
Times cited : (23)

References (33)
  • 1
    • 1342329788 scopus 로고    scopus 로고
    • Why linear sampling works
    • 10.1088/0266-5611/20/1/010 0266-5611 010
    • Arens T 2004 Why linear sampling works Inverse Problems 20 163-73
    • (2004) Inverse Problems , vol.20 , Issue.1 , pp. 163-173
    • Arens, T.1
  • 2
    • 74349116964 scopus 로고    scopus 로고
    • The linear sampling method revisited
    • 10.1216/JIE-2009-21-2-179
    • Arens T and Lechleiter A 2009 The linear sampling method revisited J. Integral Eqns Appl. 21 179-202
    • (2009) J. Integral Eqns Appl. , vol.21 , pp. 179-202
    • Arens, T.1    Lechleiter, A.2
  • 3
    • 0000252505 scopus 로고    scopus 로고
    • Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
    • 10.1088/0266-5611/16/4/310 0266-5611 310
    • Brühl M and Hanke M 2000 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography Inverse Problems 16 1029-42
    • (2000) Inverse Problems , vol.16 , Issue.4 , pp. 1029-1042
    • Brühl, M.1    Hanke, M.2
  • 4
    • 0037106174 scopus 로고    scopus 로고
    • The linear sampling method for anisotropic media
    • 10.1016/S0377-0427(02)00361-8 0377-0427
    • 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 , pp. 285-299
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 6
    • 84863160674 scopus 로고    scopus 로고
    • A multistep reciprocity gap functional method for the inverse problem in a multi-layered medium
    • 10.1080/17476933.2011.625089
    • Cakoni F, Di Cristo M and Sun J 2012 A multistep reciprocity gap functional method for the inverse problem in a multi-layered medium Complex Variables and Elliptic Eqns 57 261-76
    • (2012) Complex Variables and Elliptic Eqns , vol.57 , pp. 261-276
    • Cakoni, F.1    Di Cristo, M.2    Sun, J.3
  • 7
    • 77953791537 scopus 로고    scopus 로고
    • A sampling method for inverse scattering in the time domain
    • 10.1088/0266-5611/26/8/085001 0266-5611 085001
    • Chen Q, Haddar H, Lechleiter A and Monk P 2010 A sampling method for inverse scattering in the time domain Inverse Problems 26 085001
    • (2010) Inverse Problems , vol.26 , Issue.8
    • Chen, Q.1    Haddar, H.2    Lechleiter, A.3    Monk, P.4
  • 8
    • 34547142065 scopus 로고    scopus 로고
    • Variational approach for identifying a coefficient of the wave equation
    • Choi C, Nakamura G and Shirota K 2007 Variational approach for identifying a coefficient of the wave equation CUBO A Math. J. 9 81-101
    • (2007) CUBO A Math. J. , vol.9 , pp. 81-101
    • Choi, C.1    Nakamura, G.2    Shirota, K.3
  • 9
    • 2042474380 scopus 로고
    • Boundary integral operators for the heat equation
    • 10.1007/BF01210400
    • Costabel M 1990 Boundary integral operators for the heat equation Integral Eqns Oper. Theory 13 498-552
    • (1990) Integral Eqns Oper. Theory , vol.13 , pp. 498-552
    • Costabel, M.1
  • 10
    • 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 (Pubitemid 126655727)
    • (1996) Inverse Problems , vol.12 , Issue.4 , pp. 383-393
    • Colton, D.1    Kirsch, A.2
  • 11
    • 34548272515 scopus 로고    scopus 로고
    • A probe method for the inverse boundary value problem of non-stationary heat equations
    • DOI 10.1088/0266-5611/23/5/002, PII S0266561107409686, 002
    • Daido Y, Kang H and Nakamura G 2007 A probe method for the inverse boundary value problem of non-stationary heat equations Inverse Problems 23 1787-800 (Pubitemid 47315657)
    • (2007) Inverse Problems , vol.23 , Issue.5 , pp. 1787-1800
    • Daido, Y.1    Kang, H.2    Nakamura, G.3
  • 12
    • 64849086500 scopus 로고    scopus 로고
    • Numerical implementations of dynamical probe method for non-stationary heat equation
    • 10.1016/j.amc.2009.01.072 0096-3003
    • Daido Y, Yi L, Liu J J and Nakamura G 2009 Numerical implementations of dynamical probe method for non-stationary heat equation Appl. Math. Comput. 211 510-21
    • (2009) Appl. Math. Comput. , vol.211 , pp. 510-521
    • Daido, Y.1    Yi, L.2    Liu, J.J.3    Nakamura, G.4
  • 13
    • 77955821692 scopus 로고    scopus 로고
    • Stable determination of the discontinuous conductivity coefficient of a parabolic equation
    • 10.1137/090759719 0036-1410
    • Di Cristo M and Vessella S 2010 Stable determination of the discontinuous conductivity coefficient of a parabolic equation SIAM J. Math. Anal. 42 183-217
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 183-217
    • Di Cristo, M.1    Vessella, S.2
  • 15
    • 0031538944 scopus 로고    scopus 로고
    • On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation
    • 10.1137/S0036141095286010 0036-1410
    • Elayyan A and Isakov V 1997 On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation SIAM J. Math. Anal. 28 49-59
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 49-59
    • Elayyan, A.1    Isakov, V.2
  • 16
    • 84876225065 scopus 로고    scopus 로고
    • A gradient estimate for solutions to parabolic equations with discontinuous coefficients
    • 10.1186/1687-1847-2013-1
    • Fan J S, Kim K, Nagayasu S and Nakamura G 2013 A gradient estimate for solutions to parabolic equations with discontinuous coefficients Electron. J. Differ. Eqns 2013 1-24
    • (2013) Electron. J. Differ. Eqns , vol.2013 , pp. 1-24
    • Fan, J.S.1    Kim, K.2    Nagayasu, S.3    Nakamura, G.4
  • 17
    • 41449107669 scopus 로고    scopus 로고
    • Detecting interfaces in a parabolic-elliptic problem from surface measurements
    • DOI 10.1137/050641545
    • Frühauf F, Gebauer B and Scherzer O 2007 Detecting interfaces in a parabolic-elliptic problem from surface measurements SIAM J. Numer. Anal. 45 810-36 (Pubitemid 351599178)
    • (2007) SIAM Journal on Numerical Analysis , vol.45 , Issue.2 , pp. 810-836
    • Fruhauf, F.1    Gebauer, B.2    Scherzer, O.3
  • 19
    • 84863825853 scopus 로고    scopus 로고
    • Linear sampling method for identifying cavities in a heat conductor
    • 10.1088/0266-5611/28/7/075014 0266-5611 075014
    • Heck H, Nakamura G and Wang H B 2012 Linear sampling method for identifying cavities in a heat conductor Inverse Problems 28 075014
    • (2012) Inverse Problems , vol.28 , Issue.7
    • Heck, H.1    Nakamura, G.2    Wang, H.B.3
  • 20
    • 70350649022 scopus 로고    scopus 로고
    • The enclosure method for the heat equation
    • 10.1088/0266-5611/25/7/075005 0266-5611 075005
    • Ikehata M and Kawashita M 2009 The enclosure method for the heat equation Inverse Problems 25 075005
    • (2009) Inverse Problems , vol.25 , Issue.7
    • Ikehata, M.1    Kawashita, M.2
  • 21
    • 78049325563 scopus 로고    scopus 로고
    • On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
    • 10.1088/0266-5611/26/9/095004 0266-5611 095004
    • Ikehata M and Kawashita M 2010 On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval Inverse Problems 26 095004
    • (2010) Inverse Problems , vol.26 , Issue.9
    • Ikehata, M.1    Kawashita, M.2
  • 22
    • 79957967646 scopus 로고    scopus 로고
    • The framework of the enclosure method with dynamical data and its applications
    • 10.1088/0266-5611/27/6/065005 0266-5611 065005
    • Ikehata M 2011 The framework of the enclosure method with dynamical data and its applications Inverse Problems 27 065005
    • (2011) Inverse Problems , vol.27 , Issue.6
    • Ikehata, M.1
  • 26
    • 79959417332 scopus 로고    scopus 로고
    • Inverse boundary value problem for anisotropic heat operators
    • 10.1088/1742-6596/290/1/012007 1742-6596 012007
    • Kim K and Nakamura G 2011 Inverse boundary value problem for anisotropic heat operators J. Phys.: Conf. Ser. 290 012007
    • (2011) J. Phys.: Conf. Ser. , vol.290 , Issue.1
    • Kim, K.1    Nakamura, G.2
  • 27
    • 84866442863 scopus 로고    scopus 로고
    • The Green function of the interior transmission problem and its applications
    • 10.3934/ipi.2012.6.487
    • Kim K, Nakamura G and Sini M 2012 The Green function of the interior transmission problem and its applications Inverse Problems Imaging 6 487-521
    • (2012) Inverse Problems Imaging , vol.6 , pp. 487-521
    • Kim, K.1    Nakamura, G.2    Sini, M.3
  • 33
    • 77649323505 scopus 로고    scopus 로고
    • Numerical implementation for a 2-d thermal inhomogeneity through the dynamical probe method
    • 0254-9409
    • Yi L, Kim K and Nakamura G 2010 Numerical implementation for a 2-d thermal inhomogeneity through the dynamical probe method J. Comput. Math. 28 87-104
    • (2010) J. Comput. Math. , vol.28 , pp. 87-104
    • Yi, L.1    Kim, K.2    Nakamura, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.