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Volumn 63, Issue 1, 1999, Pages 51-69

Continuous Frechet differentiability with respect to a Lipschitz domain and a stability estimate for direct acoustic scattering problems

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE SCATTERING; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; ESTIMATION; NUMERICAL METHODS;

EID: 0033169504     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/63.1.51     Document Type: Article
Times cited : (9)

References (21)
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    • Hettlich, F.1
  • 8
    • 36149033735 scopus 로고
    • The domain derivative and two applications in inverse scattering theory
    • KIRSCH, A. 1993 The domain derivative and two applications in inverse scattering theory. Inverse Problems 9, 81-86.
    • (1993) Inverse Problems , vol.9 , pp. 81-86
    • Kirsch, A.1
  • 11
    • 0017984529 scopus 로고
    • Reduced and selective integration techniques: A unification of concepts
    • MALKUSS, D. S. & HUGHES, T. J. R. 1978 Reduced and selective integration techniques: A unification of concepts, Comput. Meths. Appl. Mech. Engng 15 63-81.
    • (1978) Comput. Meths. Appl. Mech. Engng , vol.15 , pp. 63-81
    • Malkuss, D.S.1    Hughes, T.J.R.2
  • 12
    • 0030587354 scopus 로고    scopus 로고
    • Boundary value problems and Hardy spaces associated to the Helmholtz equation
    • MITREA, M. 1996 Boundary value problems and Hardy spaces associated to the Helmholtz equation. J. Math. Anal. Appl. 202, 819-842.
    • (1996) J. Math. Anal. Appl. , vol.202 , pp. 819-842
    • Mitrea, M.1
  • 14
    • 0000631543 scopus 로고
    • Frechet-differentiability of boundary integral operators in inverse acoustic scattering
    • POTTHAST, R. 1994 Frechet-differentiability of boundary integral operators in inverse acoustic scattering. Inverse Problems 10, 431-447.
    • (1994) Inverse Problems , vol.10 , pp. 431-447
    • Potthast, R.1
  • 15
    • 84988147972 scopus 로고
    • Continuous dependence of scattering amplitude on the surface of an obstacle
    • RAMM, A. G. 1985 Continuous dependence of scattering amplitude on the surface of an obstacle. Math. Meth. Appl. Sci. 18, 121-126.
    • (1985) Math. Meth. Appl. Sci. , vol.18 , pp. 121-126
    • Ramm, A.G.1
  • 18
    • 0001351887 scopus 로고
    • Differentiation with respect to the domain in boundary value problems
    • SIMON, J. 1980 Differentiation with respect to the domain in boundary value problems. Num. Funct. Anal. Opt. 2, 649-687.
    • (1980) Num. Funct. Anal. Opt. , vol.2 , pp. 649-687
    • Simon, J.1
  • 19
    • 0008858386 scopus 로고    scopus 로고
    • Two-level algebraic multigrid for the Helmholtz problem
    • Proceedings of the 10th International Conf. Dom. Decomp. (ed. J. Mandel, C. Farhat, and X. C. Cai), AMS, Providence, RI
    • VANĚK, P., MANDEL, J., & BREZINA, M. 1998 Two-level algebraic multigrid for the Helmholtz problem. Contemporary Mathematics 218, 349-356. Proceedings of the 10th International Conf. Dom. Decomp. (ed. J. Mandel, C. Farhat, and X. C. Cai), AMS, Providence, RI.
    • (1998) Contemporary Mathematics , vol.218 , pp. 349-356
    • Vaněk, P.1    Mandel, J.2    Brezina, M.3
  • 20
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    • Change of variables in multiple integrals
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    • Varberg, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.