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Volumn 39, Issue 3, 2010, Pages 677-713

Shape derivatives for general objective functions and the incompressible Navier-Stokes equations

Author keywords

Adjoint calculus; NavierStokes; Shape derivative; Shape optimization

Indexed keywords


EID: 79952931248     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (65)

References (16)
  • 4
    • 1642535406 scopus 로고    scopus 로고
    • Shapes and geometries: Analysis, differential calculus, and optimization
    • SIAM, Philadelphia
    • DELFOUR, M.C. and ZOLÉSIO, J.P. (2001) Shapes and Geometries: Analysis, Differential Calculus, and Optimization. Advances in Design and Control. SIAM, Philadelphia.
    • (2001) Advances in Design and Control
    • Delfour, M.C.1    Zolésio, J.P.2
  • 5
    • 20344378185 scopus 로고    scopus 로고
    • Perspectives in flow control and optimization
    • SIAM, Philadelphia
    • GUNZBURGER, M.D. (2003) Perspectives in Flow Control and Optimization. Advances in Design and Control. SIAM, Philadelphia.
    • (2003) Advances in Design and Control
    • Gunzburger, M.D.1
  • 6
    • 17544385421 scopus 로고    scopus 로고
    • An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional
    • HINTERMÜLLER, M. and RING, W. (2004) An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Journal of Mathematical Imaging and Vision, 20, 19-42.
    • (2004) Journal of Mathematical Imaging and Vision , vol.20 , pp. 19-42
    • Hintermüller, M.1    Ring, W.2
  • 9
    • 84976131608 scopus 로고
    • On optimum profiles in Stokes flow
    • PIRONNEAU, O. (1973) On optimum profiles in Stokes flow. Journal of Fluid Mechanics, 59 (1), 117-128.
    • (1973) Journal of Fluid Mechanics , vol.59 , Issue.1 , pp. 117-128
    • Pironneau, O.1
  • 10
    • 0016383609 scopus 로고
    • On optimum design in fluid mechanics
    • PIRONNEAU, O. (1974) On optimum design in fluid mechanics. Journal of Fluid Mechanics, 64 (1), 97-110.
    • (1974) Journal of Fluid Mechanics , vol.64 , Issue.1 , pp. 97-110
    • Pironneau, O.1
  • 11
    • 67349266894 scopus 로고    scopus 로고
    • Inhomogeneous boundary value problems for compressible Navier-Stokes equations: Well-posedness and sensitivity analysis
    • PLO̧TNIKOV, P.I., RUBAN, E.V. and SOKOLOWSKI, J. (2008) Inhomogeneous boundary value problems for compressible Navier-Stokes equations: Well-posedness and sensitivity analysis. Journal on Mathematical Analysis, 40 (3), 1152-1200.
    • (2008) Journal on Mathematical Analysis , vol.40 , Issue.3 , pp. 1152-1200
    • Plo̧tnikov, P.I.1    Ruban, E.V.2    Sokolowski, J.3
  • 12
    • 28344452781 scopus 로고    scopus 로고
    • On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier-Stokes equations
    • PLOTNIKOV, P.I. and SOKOLOWSKI, J. (2005) On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier-Stokes equations. Journal of Mathematical Fluid Mechanics, 7 (4), 529-573.
    • (2005) Journal of Mathematical Fluid Mechanics , vol.7 , Issue.4 , pp. 529-573
    • Plotnikov, P.I.1    Sokolowski, J.2
  • 13
    • 67649649951 scopus 로고    scopus 로고
    • Stationary boundary value problems for compressible Navier-Stokes equations
    • PLOTNIKOV, P.I. and SOKOLOWSKI, J. (2008) Stationary boundary value problems for compressible Navier-Stokes equations. Handbook of Differential Equations, 6, 313-410.
    • (2008) Handbook of Differential Equations , vol.6 , pp. 313-410
    • Plotnikov, P.I.1    Sokolowski, J.2
  • 15
    • 79952324437 scopus 로고    scopus 로고
    • Impulse response approximations of discrete shape Hessians with application in CFD
    • SCHMIDT, S. and SCHULZ, V. (2009) Impulse response approximations of discrete shape Hessians with application in CFD. SIAM Journal on Control and Optimization, 48 (4), 2562-2580.
    • (2009) SIAM Journal on Control and Optimization , vol.48 , Issue.4 , pp. 2562-2580
    • Schmidt, S.1    Schulz, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.