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Volumn 204, Issue 2 SPEC. ISS., 2007, Pages 418-427

A hybrid method for sound-hard obstacle reconstruction

Author keywords

Inverse scattering problems

Indexed keywords

ACOUSTIC WAVE SCATTERING; COMPUTATION THEORY; CRACKS; MAGNETIC FIELDS; MATHEMATICAL OPERATORS; NEWTON-RAPHSON METHOD;

EID: 34247196080     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.02.047     Document Type: Article
Times cited : (31)

References (13)
  • 1
    • 14844290885 scopus 로고    scopus 로고
    • A hybrid method for inverse boundary values problems in potential theory
    • Chapko R., and Kress R. A hybrid method for inverse boundary values problems in potential theory. J. Inverse Ill-Posed Problems 13 (2005) 1-14
    • (2005) J. Inverse Ill-Posed Problems , vol.13 , pp. 1-14
    • Chapko, R.1    Kress, R.2
  • 3
    • 36149029023 scopus 로고
    • Fréchet derivatives in inverse obstacle scattering
    • (erratum, Inverse Problems 14 (1998) 204-210)
    • Hettlich F. Fréchet derivatives in inverse obstacle scattering. Inverse Problems 11 (1995) 371-382 (erratum, Inverse Problems 14 (1998) 204-210)
    • (1995) Inverse Problems , vol.11 , pp. 371-382
    • Hettlich, F.1
  • 4
    • 0004893513 scopus 로고    scopus 로고
    • Convergence rates of a regularized Newton method in sound-hard inverse scattering
    • Hohage T. Convergence rates of a regularized Newton method in sound-hard inverse scattering. SIAM J. Numer. Anal. 36 (1998) 125-142
    • (1998) SIAM J. Numer. Anal. , vol.36 , pp. 125-142
    • Hohage, T.1
  • 5
    • 34247222781 scopus 로고    scopus 로고
    • A. Kirsch, R. Kress, On an integral equation of the first kind in inverse acoustic scattering, in: Cannon, Hornung (Eds.), Inverse Problems, ISNM, vol. 77, 1986, pp. 93-102.
  • 6
    • 0011007601 scopus 로고
    • A numerical method for an inverse scattering problem
    • Engl, and Groetsch (Eds), Academic Press, Orlando
    • Kirsch A., and Kress R. A numerical method for an inverse scattering problem. In: Engl, and Groetsch (Eds). Inverse Problems (1987), Academic Press, Orlando 279-290
    • (1987) Inverse Problems , pp. 279-290
    • Kirsch, A.1    Kress, R.2
  • 7
    • 34247213536 scopus 로고    scopus 로고
    • A. Kirsch, R. Kress, An optimization method in inverse acoustic scattering, in: Brebbia et al. (Eds.), Boundary Elements IX, vol. 3, Fluid Flow and Potential Applications, Springer, Berlin, Heidelberg, New York, 1987, pp. 3-18.
  • 8
    • 0000015833 scopus 로고
    • On the numerical solution of a hypersingular integral equation in scattering theory
    • Kress R. On the numerical solution of a hypersingular integral equation in scattering theory. J. Comput. Appl. Math. 61 (1995) 345-360
    • (1995) J. Comput. Appl. Math. , vol.61 , pp. 345-360
    • Kress, R.1
  • 9
    • 0346316880 scopus 로고    scopus 로고
    • Newton's method for inverse obstacle scattering meets the method of least squares
    • Kress R. Newton's method for inverse obstacle scattering meets the method of least squares. Inverse Problems 19 (2003) 91-104
    • (2003) Inverse Problems , vol.19 , pp. 91-104
    • Kress, R.1
  • 10
    • 17444402493 scopus 로고    scopus 로고
    • A hybrid method for two-dimensional crack reconstruction
    • Kress R., and Serranho P. A hybrid method for two-dimensional crack reconstruction. Inverse Problems 21 (2005) 773-784
    • (2005) Inverse Problems , vol.21 , pp. 773-784
    • Kress, R.1    Serranho, P.2
  • 11
    • 0008961088 scopus 로고    scopus 로고
    • Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain
    • Potthast R. Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. J. Inverse Ill-Posed Problems 4 (1996) 67-84
    • (1996) J. Inverse Ill-Posed Problems , vol.4 , pp. 67-84
    • Potthast, R.1
  • 12
    • 0035472599 scopus 로고    scopus 로고
    • On the convergence of a new Newton-type method in inverse scattering
    • Potthast R. On the convergence of a new Newton-type method in inverse scattering. Inverse Problems 17 (2001) 1419-1434
    • (2001) Inverse Problems , vol.17 , pp. 1419-1434
    • Potthast, R.1
  • 13
    • 0019539685 scopus 로고
    • Newton Kantorovich algorithm applied to an electromagnetic inverse problem
    • Roger A. Newton Kantorovich algorithm applied to an electromagnetic inverse problem. IEEE Trans. Antennas and Propagations AP-29 (1981) 232-238
    • (1981) IEEE Trans. Antennas and Propagations , vol.AP-29 , pp. 232-238
    • Roger, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.