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Volumn 66, Issue 1, 2010, Pages 35-49

Topological sensitivity analysis with respect to a small hole located at the boundary of the domain

Author keywords

Laplace equation; Singularity; Topological derivative

Indexed keywords

DIRICHLET CONDITION; NEUMANN CONDITION; ROBIN CONDITION; SHAPE FUNCTIONAL; SINGULARITY; SMALL HOLE; TOPOLOGICAL ASYMPTOTIC EXPANSION; TOPOLOGICAL DERIVATIVES; TOPOLOGICAL SENSITIVITY;

EID: 72649103916     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: 10.3233/ASY-2009-0957     Document Type: Article
Times cited : (4)

References (9)
  • 1
    • 0035665129 scopus 로고    scopus 로고
    • The topological asymptotic for PDE systems: The elasticity case
    • S. Garreau, Ph. Guillaume and M. Masmoudi, The topological asymptotic for PDE systems: the elasticity case, SIAM J. Control. Optim. 39(6) (2001), 1756-1778.
    • (2001) SIAM J. Control. Optim. , vol.39 , Issue.6 , pp. 1756-1778
    • Garreau, S.1    Guillaume, Ph.2    Masmoudi, M.3
  • 2
    • 0042928461 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Dirichlet problem
    • Ph. Guillaume and K. Sididris, The topological asymptotic expansion for the Dirichlet problem, SIAM J. Control. Optim. 41(4) (2002), 1052-1072.
    • (2002) SIAM J. Control. Optim. , vol.41 , Issue.4 , pp. 1052-1072
    • Guillaume, Ph.1    Sididris, K.2
  • 5
    • 4944261594 scopus 로고    scopus 로고
    • The topological asymptotic, in: Computational methods for control applications
    • R. Glowinski, H. Karawada and J. Periaux, eds, Tokyo, Japan
    • M. Masmoudi, The topological asymptotic, in: Computational Methods for Control Applications, R. Glowinski, H. Karawada and J. Periaux, eds, GAKUTO Internat. Ser. Math. Sci. Appl., Vol.16, Tokyo, Japan, 2001, pp. 53-72.
    • (2001) GAKUTO Internat. Ser. Math. Sci. Appl. , vol.16 , pp. 53-72
    • Masmoudi, M.1
  • 7
    • 4944259639 scopus 로고    scopus 로고
    • The topological asymptotic for the Helmholtz equation
    • B. Samet, S. Amstutz andM.Masmoudi, The topological asymptotic for the Helmholtz equation, SIAM J. Control. Optim. 2(5) (2003), 1523-1544.
    • (2003) SIAM J. Control. Optim. , vol.2 , Issue.5 , pp. 1523-1544
    • Samet, S.B.1    Masmoudi, M.2
  • 9
    • 0032681559 scopus 로고    scopus 로고
    • On the topological derivative in shape optimization
    • J. Sokolowski and A. Zochowski, On the topological derivative in shape optimization, SIAM J. Control. Optim. 37 (1999), 1241-1272.
    • (1999) SIAM J. Control. Optim. , vol.37 , pp. 1241-1272
    • Sokolowski, J.1    Zochowski, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.