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Volumn 91, Issue 4, 2012, Pages 757-771

On a two-dimensional inverse scattering problem for a dielectric

Author keywords

Helmholtz equation; inverse scattering; iterative methods; nonlinear integral equations; single layer approach; transmission problem; uniqueness

Indexed keywords


EID: 84859652071     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036811.2011.619981     Document Type: Article
Times cited : (25)

References (17)
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    • Nonlinear integral equations in inverse obstacle scattering
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    • Ivanyshyn, O and Kress, R. 2006. "Nonlinear integral equations in inverse obstacle scattering". In Mathematical Methods in Scattering Theory and Biomedical Engineering, Edited by: Fotiatis, DI and Massalas, CV. 39-50. Singapore: World Scientific.
    • (2006) Mathematical Methods in Scattering Theory and Biomedical Engineering , pp. 39-50
    • Ivanyshyn, O.1    Kress, R.2
  • 5
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    • Huygens' principle and iterative methods in inverse obstacle scattering
    • Ivanyshyn, O, Kress, R and Serranho, P. 2010. Huygens' principle and iterative methods in inverse obstacle scattering. Adv. Comput. Math., 33: 413-429.
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  • 6
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    • Nonlinear integral equations and the iterative solution for an inverse boundary value problem
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  • 7
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    • Nonlinear integral equations for the inverse electrical impedance problem
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    • Eckel, H.1    Kress, R.2
  • 8
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    • A Newton-type method for a transmission problem in inverse scattering
    • Hohage, T and Schormann, C. 1998. A Newton-type method for a transmission problem in inverse scattering. Inverse Probl., 14: 1207-1227.
    • (1998) Inverse Probl. , vol.14 , pp. 1207-1227
    • Hohage, T.1    Schormann, C.2
  • 9
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    • The numerical solution of an inverse scattering problem for time-harmonic acoustic waves
    • In: Roach GF, editors London: Longman
    • Zinn, A. 1991. "The numerical solution of an inverse scattering problem for time-harmonic acoustic waves". In Inverse Problems and Imaging, Pitman Research Notes in Mathematics Series, Edited by: Roach, GF. Vol. 245, 242-263. London: Longman.
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    • Zinn, A.1
  • 11
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    • Transmission problems for the Helmholtz equation
    • Kress, R and Roach, GF. 1978. Transmission problems for the Helmholtz equation. J. Math. Phys., 19: 1433-1437.
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  • 14
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    • On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
    • Kress, R and Sloan, IH. 1993. On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Numer. Math., 66: 199-214.
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    • Kress, R.1    Sloan, I.H.2
  • 15
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    • The existence of an infinite discrete set of transmission eigenvalues
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    • Ivanyshyn, O.1    Johansson, T.2
  • 17
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    • Kress, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.