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Volumn , Issue , 2004, Pages

Shape calculus and free boundary problems

Author keywords

Automatic differentiation; Free boundary problems; Shape sensitivity analysis

Indexed keywords

AUTOMATIC DIFFERENTIATIONS; FREE-BOUNDARY PROBLEMS; GENERIC APPROACH; NUMERICAL ALGORITHMS; SHAPE CALCULUS; SHAPE SENSITIVITY ANALYSIS; SOLUTION STRATEGY;

EID: 84893515865     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (5)

References (14)
  • 1
    • 33845404914 scopus 로고
    • Existence and regularity for a minimum problem with free boudary
    • H. Alt and L. Caffarelli. Existence and regularity for a minimum problem with free boudary. J. Reine Angew. Math., 325:105-144, 1981.
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.1    Caffarelli, L.2
  • 2
    • 0034457531 scopus 로고    scopus 로고
    • On efficient solutions to the continuous sensitivity equation using automatic differentiation
    • (electronic)
    • J. Borggaard and A. Verma. On efficient solutions to the continuous sensitivity equation using automatic differentiation. SIAM J. Sci. Comput., 22(1):39-62 (electronic), 2000.
    • (2000) SIAM J. Sci. Comput. , vol.22 , Issue.1 , pp. 39-62
    • Borggaard, J.1    Verma, A.2
  • 3
    • 0003432643 scopus 로고
    • Oxford Science Publications. The Clarendon Press Oxford University Press, New York
    • J. Crank. Free and moving boundary problems. Oxford Science Publications. The Clarendon Press Oxford University Press, New York, 1984.
    • (1984) Free and Moving Boundary Problems
    • Crank, J.1
  • 4
    • 69049108965 scopus 로고    scopus 로고
    • Shapes and geometries
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA Analysis, differential calculus, and optimization
    • M. C. Delfour and J.-P. Zolésio. Shapes and geometries. Advances in Design and Control. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2001. Analysis, differential calculus, and optimization.
    • (2001) Advances in Design and Control
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 5
    • 0031287687 scopus 로고    scopus 로고
    • Bernoulli's free-boundary problem, qualitative theory and numerical approximation
    • M. Flucher and M. Rumpf. Bernoulli's free-boundary problem, qualitative theory and numerical approximation. J. Reine Angew. Math., 486:165-204, 1997.
    • (1997) J. Reine Angew. Math. , vol.486 , pp. 165-204
    • Flucher, M.1    Rumpf, M.2
  • 7
    • 84966253274 scopus 로고
    • The mathematical theory of three dimensional cavities and jets
    • P. Garabedian. The mathematical theory of three dimensional cavities and jets. Bull Amer. Math. Soc., 62:219-235, 1956.
    • (1956) Bull Amer. Math. Soc. , vol.62 , pp. 219-235
    • Garabedian, P.1
  • 8
    • 0242499510 scopus 로고    scopus 로고
    • Shape optimization and fictitious domain approach for solving free boundary value problems of bernoulli type
    • J. Haslinger, T. Kozubek, K. Kunisch, and G. Peichl. Shape optimization and fictitious domain approach for solving free boundary value problems of bernoulli type. Computational Optimization and Applications, 26:231-251, 2003.
    • (2003) Computational Optimization and Applications , vol.26 , pp. 231-251
    • Haslinger, J.1    Kozubek, T.2    Kunisch, K.3    Peichl, G.4
  • 9
    • 1642269128 scopus 로고    scopus 로고
    • Introduction to shape optimization. Advances in design and control
    • Philadelphia, PA Theory, approximation, and computation
    • J. Haslinger and R. A. E. Mäkinen. Introduction to shape optimization. Advances in Design and Control. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2003. Theory, approximation, and computation.
    • (2003) Society for Industrial and Applied Mathematics (SIAM)
    • Haslinger, J.1    Mäkinen, R.A.E.2
  • 13
    • 0031313841 scopus 로고    scopus 로고
    • Shape optimization and trial methods for free boundary problems
    • T. Tiihonen. Shape optimization and trial methods for free boundary problems. RAIRO Model. Math. Anal. Numér., 31(7):805-825, 1997.
    • (1997) RAIRO Model. Math. Anal. Numér. , vol.31 , Issue.7 , pp. 805-825
    • Tiihonen, T.1
  • 14
    • 0010830819 scopus 로고
    • On fixed point (trial) methods for free boundary problems
    • S. Antontsev, K.-H. Hoffmann, and A. Khludnev, editors Birkhäuser-Verlag
    • T. Tiihonen and J. Järvinen. On fixed point (trial) methods for free boundary problems. In S. Antontsev, K.-H. Hoffmann, and A. Khludnev, editors, Free boundary problems in continuum mechanics. Birkhäuser-Verlag, 1991.
    • (1991) Free Boundary Problems in Continuum Mechanics
    • Tiihonen, T.1    Järvinen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.