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Volumn 31, Issue 7, 1997, Pages 805-825

Shape optimization and trial methods for free boundary problems

Author keywords

Fixed point methods; Free boundary problems; Shape optimization; Shape sensitivity analysis

Indexed keywords


EID: 0031313841     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1997310708051     Document Type: Article
Times cited : (46)

References (14)
  • 1
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    • (1981) J. Reine Angew. Math , vol.325 , pp. 105-144
    • Alt, H.W.1    Cafarelli, L.A.2
  • 2
    • 0025485742 scopus 로고
    • Some numerical methods for the computation of capillary free boundaries governed by the Navier-Stokes equations
    • C. CUVELIER, R. M. S. M. SCHULKES, 1990, Some numerical methods for the computation of capillary free boundaries governed by the Navier-Stokes equations, Siam Review 32, 355-423.
    • (1990) Siam Review , vol.32 , pp. 355-423
    • Cuvelier, C.1    Schulkes, R.M.S.M.2
  • 3
    • 0011853293 scopus 로고
    • Shape derivatives and differentiability of min max
    • M. C. Delfour and G. Sabidussi (eds.) Kluwer, Dordrecht
    • M. C. DELFOUR, 1990, Shape Derivatives and Differentiability of Min Max, in « Shape Optimization and Free Boundaries, M. C. Delfour and G. Sabidussi (eds.) », Kluwer, Dordrecht, pp. 35-111.
    • (1990) Shape Optimization and Free Boundaries , pp. 35-111
    • Delfour, M.C.1
  • 5
    • 0026254180 scopus 로고
    • Velocity method and Lagrangian formulation for the computation of the shape Hessian
    • M. C. DELFOUR, J. P. ZOLÉSIO, 1991, Velocity method and Lagrangian formulation for the computation of the shape Hessian, SIAM J. Control Optim. 29, 1414-1442.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 1414-1442
    • Delfour, M.C.1    Zolésio, J.P.2
  • 6
    • 0031287687 scopus 로고    scopus 로고
    • Bernoulli's free-boundary problem, qualitative theory and numerical approximation
    • M. FLUCHER, M. RUMPF, 1997, Bernoulli's free-boundary problem, qualitative theory and numerical approximation, J. Reine angew. Math. 86.
    • (1997) J. Reine Angew. Math. , vol.86
    • Flucher, M.1    Rumpf, M.2
  • 7
    • 84966253274 scopus 로고
    • The mathematical theory of three dimensional cavities and jets
    • P. R. GARABEDIAN, 1956, The mathematical theory of three dimensional cavities and jets, Bull. Amer. Math. Soc., 62, 219-235.
    • (1956) Bull. Amer. Math. Soc. , vol.62 , pp. 219-235
    • Garabedian, P.R.1
  • 11
    • 0010830819 scopus 로고
    • On fixed point (trial) methods for free boundary problems
    • S. N. Antontsev, K.-H. Hoffmann, A. M. Khludnev (eds.), ISNM 106, Birkhäuser Verlag, Basel
    • T. TIIHONEN, J. JÄRVINEN, 1992, On fixed point (trial) methods for free boundary problems, in « Free boundary problems in continuum mechanics », S. N. Antontsev, K.-H. Hoffmann, A. M. Khludnev (eds.), ISNM 106, Birkhäuser Verlag, Basel, pp. 339-350.
    • (1992) Free Boundary Problems in Continuum Mechanics , pp. 339-350
    • Tiihonen, T.1    Järvinen, J.2
  • 13
    • 0002034106 scopus 로고
    • Introduction to shape optimization problems and free boundary problems
    • M. C. Delfour and G. Sabidussi (eds.), Kluwer, Dordrecht
    • J. P. ZOLÉSIO, 1990, Introduction to shape optimization problems and free boundary problems, in « Shape Optimization and Free Boundaries », M. C. Delfour and G. Sabidussi (eds.), Kluwer, Dordrecht, pp. 397-457.
    • (1990) Shape Optimization and Free Boundaries , pp. 397-457
    • Zolésio, J.P.1
  • 14
    • 0002491212 scopus 로고
    • Weak shape formulation of free boundary problems
    • J. P. ZOLÉSIO, 1994, Weak Shape Formulation of Free Boundary Problems, Ann. Scuola Norm. Sup. Pisa Cl. Sci., XXI, 1, 397-457.
    • (1994) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.1-21 , pp. 397-457
    • Zolésio, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.