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Volumn , Issue , 2018, Pages 721-740

Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition

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EID: 85053980963     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-319-72456-0_32     Document Type: Chapter
Times cited : (9)

References (16)
  • 1
    • 77349087814 scopus 로고    scopus 로고
    • Identification of generalized impedance boundary conditions in inverse scattering problems
    • Bourgeois, L., Haddar, H.: Identification of generalized impedance boundary conditions in inverse scattering problems. Inverse Prob. Imaging 4(1), 19-38 (2010).
    • (2010) Inverse Prob. Imaging , vol.4 , Issue.1 , pp. 19-38
    • Bourgeois, L.1    Haddar, H.2
  • 2
    • 80052233318 scopus 로고    scopus 로고
    • Stable reconstruction of generalized impedance boundary conditions
    • Bourgeois, L., Chaulet, N., Haddar, H.: Stable reconstruction of generalized impedance boundary conditions. Inverse Prob. 27(9), 095002 (2011).
    • (2011) Inverse Prob. , vol.27 , Issue.9 , pp. 095002
    • Bourgeois, L.1    Chaulet, N.2    Haddar, H.3
  • 3
    • 84871724762 scopus 로고    scopus 로고
    • On simultaneous identification of a scatterer and its generalized impedance boundary condition
    • Bourgeois, L., Chaulet, N., Haddar, H.: On simultaneous identification of a scatterer and its generalized impedance boundary condition. SIAM J. Sci. Comput. 34(3), A1824-A1848 (2012).
    • (2012) SIAM J. Sci. Comput. , vol.34 , Issue.3 , pp. A1824-A1848
    • Bourgeois, L.1    Chaulet, N.2    Haddar, H.3
  • 4
    • 84871754141 scopus 로고    scopus 로고
    • Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition
    • Cakoni, F., Kress, R.: Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Inverse Prob. 29(1), 015005 (2013).
    • (2013) Inverse Prob. , vol.29 , Issue.1 , pp. 015005
    • Cakoni, F.1    Kress, R.2
  • 5
    • 84907638125 scopus 로고    scopus 로고
    • Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging
    • Cakoni, F., Hu, Y., Kress, R.: Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Inverse Prob. 30(10), 105009 (2014).
    • (2014) Inverse Prob. , vol.30 , Issue.10 , pp. 105009
    • Cakoni, F.1    Hu, Y.2    Kress, R.3
  • 6
    • 85075144463 scopus 로고    scopus 로고
    • Inverse Acoustic and Electromagnetic Scattering Theory
    • 3rd edn. Springer, New York
    • Colton, D., Kress, R.: Inverse Acoustic and Electromagnetic Scattering Theory. Applied Mathematical Sciences, vol. 93, 3rd edn. Springer, New York (2012).
    • (2012) Applied Mathematical Sciences , vol.93
    • Colton, D.1    Kress, R.2
  • 7
    • 33748870240 scopus 로고    scopus 로고
    • High order generalized impedance boundary conditions in electromagnetic scattering problems
    • Duruflé, M., Haddar, H., Joly, P.: High order generalized impedance boundary conditions in electromagnetic scattering problems. C. R. Phys. 7(5), 533-542 (2006).
    • (2006) C. R. Phys , vol.7 , Issue.5 , pp. 533-542
    • Duruflé, M.1    Haddar, H.2    Joly, P.3
  • 8
    • 31144432580 scopus 로고    scopus 로고
    • Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case
    • Haddar, H., Joly, P., Nguyen, H.M.: Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Math. Models Methods Appl. Sci. 15(8), 1273-1300 (2005).
    • (2005) Math. Models Methods Appl. Sci , vol.15 , Issue.8 , pp. 1273-1300
    • Haddar, H.1    Joly, P.2    Nguyen, H.M.3
  • 9
    • 40449090163 scopus 로고    scopus 로고
    • Boundary integral equations for acoustical inverse sound-soft scattering
    • Ivanyshyn, O., Johansson, T.: Boundary integral equations for acoustical inverse sound-soft scattering. J. Inverse Ill-Posed Probl. 16(1), 65-78 (2008).
    • (2008) J. Inverse Ill-Posed Probl , vol.16 , Issue.1 , pp. 65-78
    • Ivanyshyn, O.1    Johansson, T.2
  • 10
    • 33846681076 scopus 로고    scopus 로고
    • Reconstruction of an acoustically sound-soft obstacle from one incident field and the far field pattern
    • Johansson, T., Sleeman, B.: Reconstruction of an acoustically sound-soft obstacle from one incident field and the far field pattern. IMA J. Appl. Math. 72(1), 96-112 (2007).
    • (2007) IMA J. Appl. Math , vol.72 , Issue.1 , pp. 96-112
    • Johansson, T.1    Sleeman, B.2
  • 11
    • 0024767153 scopus 로고
    • Surface gradient and continuity properties of some integral operators in classical scattering theory
    • Kirsch, A.: Surface gradient and continuity properties of some integral operators in classical scattering theory. Math. Meth. Appl. Sci. 11(6), 789-804 (1989).
    • (1989) Math. Meth. Appl. Sci , vol.11 , Issue.6 , pp. 789-804
    • Kirsch, A.1
  • 12
    • 84942912012 scopus 로고    scopus 로고
    • Linear Integral Equations
    • 3rd edn. Springer, New York
    • Kress, R.: Linear Integral Equations. Applied Mathematical Sciences, vol. 82, 3rd edn. Springer, New York (2013).
    • (2013) Applied Mathematical Sciences , vol.82
    • Kress, R.1
  • 13
    • 84904858873 scopus 로고    scopus 로고
    • A collocation method for a hypersingular boundary integral equation via trigonometric differentiation
    • Kress, R.: A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. J. Integral Equ. Appl. 26(2), 197-213 (2014).
    • (2014) J. Integral Equ. Appl , vol.26 , Issue.2 , pp. 197-213
    • Kress, R.1
  • 14
    • 21344489598 scopus 로고
    • On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
    • Kress, R., Sloan, I.H.: On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Numer. Math. 66(1), 199-214 (1993).
    • (1993) Numer. Math , vol.66 , Issue.1 , pp. 199-214
    • Kress, R.1    Sloan, I.H.2
  • 15
    • 0003797412 scopus 로고    scopus 로고
    • Strongly Elliptic Systems and Boundary Integral Equations
    • Cambridge University Press, Cambridge
    • McLean, W.: Strongly Elliptic Systems and Boundary Integral Equations. Cambridge University Press, Cambridge (2000).
    • (2000)
    • McLean, W.1
  • 16
    • 0003215592 scopus 로고
    • Approximate Boundary Conditions in Electromagnetics
    • The Institution of Electrical Engineers, London
    • Senior, T.B.A., Volakis, J.L.: Approximate Boundary Conditions in Electromagnetics. IEEE Electromagnetic Waves Series, vol. 41. The Institution of Electrical Engineers, London (1995).
    • (1995) IEEE Electromagnetic Waves Series , vol.41
    • Senior, T.B.A.1    Volakis, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.