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Volumn , Issue , 2006, Pages 1-291

Moving shape analysis and control: Applications to fluid structure interactions

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EID: 84886380124     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (74)

References (158)
  • 2
    • 0026049936 scopus 로고
    • Initial boundary value problems and optimal control for nonautonomous parabolic systems
    • P. Acquistapace, F. Flandoli, and B. Terreni. Initial boundary value problems and optimal control for nonautonomous parabolic systems. SIAM J. Control Optimization, 29(1):89–118, 1991.
    • (1991) SIAM J. Control Optimization , vol.29 , Issue.1 , pp. 89-118
    • Acquistapace, P.1    Flandoli, F.2    Terreni, B.3
  • 3
    • 0038584573 scopus 로고    scopus 로고
    • Coque fluide intrinsèque sans approximation géométrique
    • J.-C. Aguilar and J.-P. Zolésio. Coque fluide intrinsèque sans approximation géométrique. C. R. Acad. Sci. Paris Sér. I Math., 326(11):1341– 1346, 1998.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.326 , Issue.11 , pp. 1341-1346
    • Aguilar, J.-C.1    Zolésio, J.-P.2
  • 5
    • 85057264839 scopus 로고    scopus 로고
    • Transport equation and Cauchy problem for BV vector fields
    • L. Ambrosio. Transport equation and Cauchy problem for BV vector fields. CVGMT Preprint Server-http://cvgmt.sns.it/papers/luia/.
    • CVGMT Preprint Server
    • Ambrosio, L.1
  • 6
    • 34249965244 scopus 로고
    • Variational problems in SBV and image segmentation
    • L. Ambrosio. Variational problems in SBV and image segmentation. Acta Appl. Math., 17(1):1–40, 1989.
    • (1989) Acta Appl. Math. , vol.17 , Issue.1 , pp. 1-40
    • Ambrosio, L.1
  • 7
    • 0015127908 scopus 로고
    • Minimum-mass design of a plate-like structure for specified fundamental frequency
    • J.-L. Armand. Minimum-mass design of a plate-like structure for specified fundamental frequency. AIAA J., 9:1739–1745, 1971.
    • (1971) AIAA J , vol.9 , pp. 1739-1745
    • Armand, J.-L.1
  • 9
    • 13944271327 scopus 로고    scopus 로고
    • On the existence of strong solutions to a coupled fluid-structure evolution problem
    • H. Beirão da Veiga. On the existence of strong solutions to a coupled fluid-structure evolution problem. J. Math. Fluid. Mech., 6(1):21–52, 2004.
    • (2004) J. Math. Fluid. Mech. , vol.6 , Issue.1 , pp. 21-52
    • Beirão da Veiga, H.1
  • 11
    • 0035917085 scopus 로고    scopus 로고
    • Variational equations of Schroedinger-type in non-cylindrical domains
    • M. L. Bernardi, G. A. Pozzi, and G. Savaré. Variational equations of Schroedinger-type in non-cylindrical domains. J. Differ. Equations, 171(1):63–87, 2001.
    • (2001) J. Differ. Equations , vol.171 , Issue.1 , pp. 63-87
    • Bernardi, M.L.1    Pozzi, G.A.2    Savaré, G.3
  • 12
    • 85057244750 scopus 로고
    • The curtain rod problem
    • W. A. Blankinship. The curtain rod problem. Amer. Math. Monthly, 50:186–189, 1943.
    • (1943) Amer. Math. Monthly , vol.50 , pp. 186-189
    • Blankinship, W.A.1
  • 14
    • 42949142342 scopus 로고    scopus 로고
    • Boundary variations in the Navier-Stokes equations and Lagrangian functionals
    • Cagnol, John et al, Marcel Dekker. Lect. Notes Pure Appl. Math
    • S. Boisgérault and J.-P. Zolésio. Boundary variations in the Navier-Stokes equations and Lagrangian functionals. In Cagnol, John et al., Shape optimization and optimal design. Proceedings of the IFIP conference. Marcel Dekker. Lect. Notes Pure Appl. Math. 216, 7-26. 2001.
    • (2001) Shape Optimization and Optimal Design. Proceedings of the IFIP Conference , vol.216 , pp. 7-26
    • Boisgérault, S.1    Zolésio, J.-P.2
  • 15
    • 0041704682 scopus 로고    scopus 로고
    • Existence of weak solutions for the motion of an elastic structure in an incompressible viscous fluid
    • M. Boulakia. Existence of weak solutions for the motion of an elastic structure in an incompressible viscous fluid. C. R. Math. Acad. Sci. Paris, 336(12):985–990, 2003.
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , Issue.12 , pp. 985-990
    • Boulakia, M.1
  • 18
    • 0001220318 scopus 로고
    • Optimisation de forme sous contrainte capacitaire
    • D. Bucur and J.-P. Zolésio. Optimisation de forme sous contrainte capacitaire. C. R. Acad. Sci. Paris Sér. I Math., 318(9):795–800, 1994.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.318 , Issue.9 , pp. 795-800
    • Bucur, D.1    Zolésio, J.-P.2
  • 19
    • 58149363688 scopus 로고
    • N-dimensional shape optimization under capacitary constraint
    • D. Bucur and J.-P. Zolésio. N-dimensional shape optimization under capacitary constraint. J. Differential Equations, 123(2):504–522, 1995.
    • (1995) J. Differential Equations , vol.123 , Issue.2 , pp. 504-522
    • Bucur, D.1    Zolésio, J.-P.2
  • 21
    • 0011809146 scopus 로고    scopus 로고
    • Boundary optimization under pseudo curvature constraint
    • D. Bucur and J.-P. Zolésio. Boundary optimization under pseudo curvature constraint. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 23(4):681– 699 (1997), 1996.
    • (1996) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.23 , Issue.4 , pp. 681-699
    • Bucur, D.1    Zolésio, J.-P.2
  • 22
    • 0030577970 scopus 로고    scopus 로고
    • Free boundary problems and density perimeter
    • D. Bucur and J.-P. Zolésio. Free boundary problems and density perimeter. J. Differential Equations, 126(2):224–243, 1996.
    • (1996) J. Differential Equations , vol.126 , Issue.2 , pp. 224-243
    • Bucur, D.1    Zolésio, J.-P.2
  • 23
    • 0000209505 scopus 로고    scopus 로고
    • Wiener’s criterion and shape continuity for the Dirichlet problem
    • D. Bucur and J.-P. Zolesio. Wiener’s criterion and shape continuity for the Dirichlet problem. Boll. Un. Mat. Ital. B (7), 11(4):757–771, 1997.
    • (1997) Boll. Un. Mat. Ital. B , vol.11 , Issue.7 , pp. 757-771
    • Bucur, D.1    Zolesio, J.-P.2
  • 24
    • 0011850280 scopus 로고    scopus 로고
    • Shape derivative in the wave equation with Dirichlet boundary conditions
    • J. Cagnol and J.-P. Zolésio. Shape derivative in the wave equation with Dirichlet boundary conditions. J. Differential Equations, 158(2):175– 210, 1999.
    • (1999) J. Differential Equations , vol.158 , Issue.2 , pp. 175-210
    • Cagnol, J.1    Zolésio, J.-P.2
  • 25
    • 85057271653 scopus 로고    scopus 로고
    • Intrinsic geometric model for the vibration of a constrained shell
    • (Boulder, CO, 1999), volume 268 of Contemp. Math., pages 23–39. Amer. Math. Soc., Providence, RI
    • J. Cagnol and J.-P. Zolésio. Intrinsic geometric model for the vibration of a constrained shell. In Differential geometric methods in the control of partial differential equations (Boulder, CO, 1999), volume 268 of Contemp. Math., pages 23–39. Amer. Math. Soc., Providence, RI, 2000.
    • (2000) Differential Geometric Methods in the Control of Partial Differential Equations
    • Cagnol, J.1    Zolésio, J.-P.2
  • 26
    • 0343353856 scopus 로고    scopus 로고
    • Shape analysis in membrane vibration
    • J. Cagnol and J.-P. Zolésio. Shape analysis in membrane vibration. Math. Methods Appl. Sci., 23(11):985–1010, 2000.
    • (2000) Math. Methods Appl. Sci. , vol.23 , Issue.11 , pp. 985-1010
    • Cagnol, J.1    Zolésio, J.-P.2
  • 27
    • 0038053995 scopus 로고    scopus 로고
    • Vibration of a pre-constrained elastic thin shell. I. Modeling and regularity of the solutions
    • J. Cagnol and J.-P. Zolésio. Vibration of a pre-constrained elastic thin shell. I. Modeling and regularity of the solutions. C. R. Math. Acad. Sci. Paris, 334(2):161–166, 2002.
    • (2002) C. R. Math. Acad. Sci. Paris , vol.334 , Issue.2 , pp. 161-166
    • Cagnol, J.1    Zolésio, J.-P.2
  • 28
    • 0038392335 scopus 로고    scopus 로고
    • Vibration of a pre-constrained elastic thin shell. II. Intrinsic exact model
    • J. Cagnol and J.-P. Zolésio. Vibration of a pre-constrained elastic thin shell. II. Intrinsic exact model. C. R. Math. Acad. Sci. Paris, 334(3):251–256, 2002.
    • (2002) C. R. Math. Acad. Sci. Paris , vol.334 , Issue.3 , pp. 251-256
    • Cagnol, J.1    Zolésio, J.-P.2
  • 31
    • 51249191365 scopus 로고
    • Quelques résultats sur l’identification de domaines
    • J. Céa, A. Gioan, and J. Michel. Quelques résultats sur l’identification de domaines. Calcolo, 10:207–232, 1973.
    • (1973) Calcolo , vol.10 , pp. 207-232
    • Céa, J.1    Gioan, A.2    Michel, J.3
  • 32
    • 85057268935 scopus 로고
    • Sur une méthode de résolution du problème inverse dans les équations aux dérivées partielles paraboliques
    • G. Chavent. Sur une méthode de résolution du problème inverse dans les équations aux dérivées partielles paraboliques. C. R. Acad. Sci. Paris Sér. A-B, 269:A1135–A1138, 1969.
    • (1969) C. R. Acad. Sci. Paris Sér. A-B , vol.269 , pp. A1135-A1138
    • Chavent, G.1
  • 33
    • 0009487122 scopus 로고
    • Analyse fonctionnelle et identification de coefficients répartis dans les équations aux dérivées partielles. PhD thesis
    • G. Chavent. Analyse fonctionnelle et identification de coefficients répartis dans les équations aux dérivées partielles. PhD thesis, Université Paris VI, 1971.
    • (1971) Université Paris , pp. VI
    • Chavent, G.1
  • 35
  • 41
    • 85057256288 scopus 로고    scopus 로고
    • On the motion of an elastic solid inside of an incompressible viscous fluid
    • D. Coutand and S. Shkoller. On the motion of an elastic solid inside of an incompressible viscous fluid. Arch. for Rat. Mech. Anal., 2004.
    • (2004) Arch. for Rat. Mech. Anal.
    • Coutand, D.1    Shkoller, S.2
  • 42
    • 0024063933 scopus 로고
    • Control of singular problem via differentiation of a min-max
    • M. Cuer and J.-P. Zolésio. Control of singular problem via differentiation of a min-max. Systems Control Lett., 11(2):151–158, 1988.
    • (1988) Systems Control Lett , vol.11 , Issue.2 , pp. 151-158
    • Cuer, M.1    Zolésio, J.-P.2
  • 43
    • 0024048221 scopus 로고
    • An optimal control problem for a parabolic equation in non-cylindrical domains
    • G. Da Prato and J.-P. Zolésio. An optimal control problem for a parabolic equation in non-cylindrical domains. Syst. Control Lett., 11(1):73–77, 1988.
    • (1988) Syst. Control Lett. , vol.11 , Issue.1 , pp. 73-77
    • da Prato, G.1    Zolésio, J.-P.2
  • 45
    • 0024035928 scopus 로고
    • Shape sensitivity analysis via min max differentiability
    • M.C. Delfour and J.-P. Zolésio. Shape sensitivity analysis via min max differentiability. SIAM J. Control Optimization, 26(4):834–862, 1988.
    • (1988) SIAM J. Control Optimization , vol.26 , Issue.4 , pp. 834-862
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 47
    • 43949161376 scopus 로고
    • Shape analysis via oriented distance functions
    • M.C. Delfour and J.-P. Zolésio. Shape analysis via oriented distance functions. J. Funct. Anal., 123(1):129–201, 1994.
    • (1994) J. Funct. Anal. , vol.123 , Issue.1 , pp. 129-201
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 48
    • 0000090513 scopus 로고
    • A boundary differential equation for thin shells
    • M.C. Delfour and J.-P. Zolésio. A boundary differential equation for thin shells. J. Differential Equations, 119(2):426–449, 1995.
    • (1995) J. Differential Equations , vol.119 , Issue.2 , pp. 426-449
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 49
    • 0030578136 scopus 로고    scopus 로고
    • Tangential differential equations for dynamical thin/shallow shells
    • M.C. Delfour and J.-P. Zolésio. Tangential differential equations for dynamical thin/shallow shells. J. Differential Equations, 128(1):125– 167, 1996.
    • (1996) J. Differential Equations , vol.128 , Issue.1 , pp. 125-167
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 50
    • 0011850820 scopus 로고    scopus 로고
    • Shape analysis via distance functions: Local theory
    • (Banff, AB, 1995), volume 13 of CRM Proc. Lecture Notes, pages 91–123. Amer. Math. Soc., Providence, RI
    • M.C. Delfour and J.-P. Zolésio. Shape analysis via distance functions: local theory. In Boundaries, interfaces, and transitions (Banff, AB, 1995), volume 13 of CRM Proc. Lecture Notes, pages 91–123. Amer. Math. Soc., Providence, RI, 1998.
    • (1998) Boundaries, Interfaces, and Transitions
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 53
    • 0031537116 scopus 로고    scopus 로고
    • Manifold derivative in the Laplace-Beltrami equation
    • F.R. Desaint and J.-P. Zolésio. Manifold derivative in the Laplace-Beltrami equation. J. Funct. Anal., 151(1):234–269, 1997.
    • (1997) J. Funct. Anal. , vol.151 , Issue.1 , pp. 234-269
    • Desaint, F.R.1    Zolésio, J.-P.2
  • 54
    • 0033407740 scopus 로고    scopus 로고
    • Existence of solutions for a Model of Fluid-Rigid Structure Interaction
    • B. Desjardins and M.J. Esteban. Existence of solutions for a Model of Fluid-Rigid Structure Interaction. Arch. for Rat. Mech. Anal., 146, 1999.
    • (1999) Arch. for Rat. Mech. Anal. , vol.146
    • Desjardins, B.1    Esteban, M.J.2
  • 55
    • 0019609566 scopus 로고
    • An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
    • J. Donea, S. Giuliani, and J.P. Halleux. An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Comput. Methods Appl. Mech. Eng., 33:689–723, 1982.
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.33 , pp. 689-723
    • Donea, J.1    Giuliani, S.2    Halleux, J.P.3
  • 56
    • 0010925817 scopus 로고
    • PhD thesis, Ecole des Mines de Paris-Informatique Temps réel, Robotique, Automatique
    • R. Dziri. Problèmes de frontière libre en fluides visqueux. PhD thesis, Ecole des Mines de Paris-Informatique Temps réel, Robotique, Automatique, 1995.
    • (1995) Problèmes De frontière Libre En Fluides Visqueux
    • Dziri, R.1
  • 58
    • 22844456347 scopus 로고    scopus 로고
    • Dynamical shape control in non-cylindrical Navier-Stokes equations
    • R. Dziri and J.-P. Zolésio. Dynamical shape control in non-cylindrical Navier-Stokes equations. J. Convex Anal., 6(2):293–318, 1999.
    • (1999) J. Convex Anal. , vol.6 , Issue.2 , pp. 293-318
    • Dziri, R.1    Zolésio, J.-P.2
  • 59
    • 0742285230 scopus 로고    scopus 로고
    • Eulerian derivative for non-cylindrical functionals. Cagnol, John et al., Shape optimization and optimal design
    • R. Dziri and J.-P. Zolésio. Eulerian derivative for non-cylindrical functionals. Cagnol, John et al., Shape optimization and optimal design. Lect. Notes Pure Appl. Math, 216:87–107, 2001.
    • (2001) Lect. Notes Pure Appl. Math , vol.216 , pp. 87-107
    • Dziri, R.1    Zolésio, J.-P.2
  • 61
    • 5844311098 scopus 로고    scopus 로고
    • A one-phase inverse Stefan problem
    • A. El Badia and F. Moutazaim. A one-phase inverse Stefan problem. Inverse Probl., 15(6):1507–1522, 1999.
    • (1999) Inverse Probl , vol.15 , Issue.6 , pp. 1507-1522
    • Badia, A.E.1    Moutazaim, F.2
  • 62
    • 0001331191 scopus 로고    scopus 로고
    • Moving surfaces and abstract parabolic evolution equations
    • J. Escher and G. Simonett. Moving surfaces and abstract parabolic evolution equations. Prog. Nonlinear Differ. Equ. Appl., 35:183–212, 1999.
    • (1999) Prog. Nonlinear Differ. Equ. Appl. , vol.35 , pp. 183-212
    • Escher, J.1    Simonett, G.2
  • 63
    • 0005360010 scopus 로고    scopus 로고
    • Deriving adequate formulations for fluid-structure interactions problems: From ALE to transpiration
    • T. Fanion, M.A. Fernández, and P. Le Tallec. Deriving adequate formulations for fluid-structure interactions problems: from ALE to transpiration. Rév. Européenne Élém. Finis, 9(6-7):681–708, 2000.
    • (2000) Rév. Européenne Élém. Finis , vol.9 , Issue.6-7 , pp. 681-708
    • Fanion, T.1    Fernández, M.A.2    Le Tallec, P.3
  • 64
    • 0141792707 scopus 로고    scopus 로고
    • Linear stability analysis in fluid-structure interaction with transpiration. I. Formulation and mathematical analysis
    • M.A. Fernández and P. Le Tallec. Linear stability analysis in fluid-structure interaction with transpiration. I. Formulation and mathematical analysis. Comput. Methods Appl. Mech. Engrg., 192(43):4805–4835, 2003.
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , Issue.43 , pp. 4805-4835
    • Fernández, M.A.1    Le Tallec, P.2
  • 65
    • 0141457822 scopus 로고    scopus 로고
    • Linear stability analysis in fluid-structure interaction with transpiration. II. Numerical analysis and applications
    • M.A. Fernández and P. Le Tallec. Linear stability analysis in fluid-structure interaction with transpiration. II. Numerical analysis and applications. Comput. Methods Appl. Mech. Engrg., 192(43):4837–4873, 2003.
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , Issue.43 , pp. 4837-4873
    • Fernández, M.A.1    Le Tallec, P.2
  • 66
    • 0036670916 scopus 로고    scopus 로고
    • Sensitivity analysis for an incompressible aeroelastic system
    • M.A. Fernández and M. Moubachir. Sensitivity analysis for an incompressible aeroelastic system. Math. Models Methods Appl. Sci., 12(8):1109–1130, 2002.
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , Issue.8 , pp. 1109-1130
    • Fernández, M.A.1    Moubachir, M.2
  • 67
    • 0038106162 scopus 로고    scopus 로고
    • An exact block-Newton algorithm for solving fluid-structure interaction problems
    • M.A. Fernández and M. Moubachir. An exact block-Newton algorithm for solving fluid-structure interaction problems. C. R. Math. Acad. Sci. Paris, 336(8):681–686, 2003.
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , Issue.8 , pp. 681-686
    • Fernández, M.A.1    Moubachir, M.2
  • 68
    • 0033101710 scopus 로고    scopus 로고
    • Analysis of a nonlinear fluid-structure interaction problem in velocity-displacement formulation
    • F. Flori and P. Orenga. Analysis of a nonlinear fluid-structure interaction problem in velocity-displacement formulation. Nonlinear Analysis, 35:561–587, 1999.
    • (1999) Nonlinear Analysis , vol.35 , pp. 561-587
    • Flori, F.1    Orenga, P.2
  • 70
    • 0000785583 scopus 로고    scopus 로고
    • Free boundary problems in science and technology
    • A. Friedman. Free boundary problems in science and technology. Notices Am. Math. Soc., 47(8):854–861, 2000.
    • (2000) Notices Am. Math. Soc. , vol.47 , Issue.8 , pp. 854-861
    • Friedman, A.1
  • 71
    • 0035993967 scopus 로고    scopus 로고
    • Trace theorems for three-dimensional, time-dependent solenoidal vector fields and their applications
    • A. Fursikov, M. Gunzburger, and L. Hou. Trace theorems for three-dimensional, time-dependent solenoidal vector fields and their applications. Trans. Am. Math. Soc., 354(3):1079–1116, 2002.
    • (2002) Trans. Am. Math. Soc. , vol.354 , Issue.3 , pp. 1079-1116
    • Fursikov, A.1    Gunzburger, M.2    Hou, L.3
  • 72
    • 0032074249 scopus 로고    scopus 로고
    • Boundary value problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case
    • A.V. Fursikov, M.D. Gunzburger, and L.S. Hou. Boundary value problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case. SIAM J. Control Optimization, 36(3):852–894, 1998.
    • (1998) SIAM J. Control Optimization , vol.36 , Issue.3 , pp. 852-894
    • Fursikov, A.V.1    Gunzburger, M.D.2    Hou, L.S.3
  • 73
    • 0031809732 scopus 로고
    • Motion stability of deformable body in an ideal fluid with applications to the N spheres problem
    • A.R Galper and T. Miloh. Motion stability of deformable body in an ideal fluid with applications to the N spheres problem. Physics of Fluid, 10(1):119–130, 1992.
    • (1992) Physics of Fluid , vol.10 , Issue.1 , pp. 119-130
    • Galper, A.R.1    Miloh, T.2
  • 74
    • 84968468186 scopus 로고
    • Identities in the theory of conformal mapping
    • P. R. Garabedian and M. Schiffer. Identities in the theory of conformal mapping. Trans. Amer. Math. Soc., 65:187–238, 1949.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 187-238
    • Garabedian, P.R.1    Schiffer, M.2
  • 75
  • 77
    • 0003343498 scopus 로고
    • Minimal surfaces and functions of bounded variation
    • Boston-Basel-Stuttgart: Birkhäuser. XII
    • E. Giusti. Minimal surfaces and functions of bounded variation. Monographs in Mathematics, Vol. 80. Boston-Basel-Stuttgart: Birkhäuser. XII, 1984.
    • (1984) Monographs in Mathematics , vol.80
    • Giusti, E.1
  • 78
    • 0016994544 scopus 로고
    • Towards the computation of minimum drag profiles in viscous laminar flow
    • R. Glowinski and O. Pironneau. Towards the computation of minimum drag profiles in viscous laminar flow. Appl. Math. Modelling, 1(2):58–66, 1976/77.
    • (1976) Appl. Math. Modelling , vol.1 , Issue.2 , pp. 58-66
    • Glowinski, R.1    Pironneau, O.2
  • 80
    • 0005312964 scopus 로고    scopus 로고
    • Fluid-structure interaction: A theoretical point of view
    • C. Grandmont and Y. Maday. Fluid-structure interaction: A theoretical point of view. Rev. Européenne Élém. Finis, 9(6-7):633–653, 2001.
    • (2001) Rev. Européenne Élém. Finis , vol.9 , Issue.6-7 , pp. 633-653
    • Grandmont, C.1    Maday, Y.2
  • 81
    • 0026762034 scopus 로고
    • Boundary velocity control of incompressible flow with application to viscous drag reduction
    • M.D Gunzburger, L. Hou, and T.P Svobodny. Boundary velocity control of incompressible flow with application to viscous drag reduction. SIAM Journal of Control and Optimization, 30(1):167–181, 1992.
    • (1992) SIAM Journal of Control and Optimization , vol.30 , Issue.1 , pp. 167-181
    • Gunzburger, M.D.1    Hou, L.2    Svobodny, T.P.3
  • 82
    • 0001236805 scopus 로고    scopus 로고
    • Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
    • M.D. Gunzburger, H.C. Lee, and G.A. Seregin. Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. J. Math. Fluid. Mech, 2(3):219–266, 2000.
    • (2000) J. Math. Fluid. Mech , vol.2 , Issue.3 , pp. 219-266
    • Gunzburger, M.D.1    Lee, H.C.2    Seregin, G.A.3
  • 83
    • 85057258560 scopus 로고
    • Distributed parameter optimal design
    • (U. S. Army Missile Command, Redstone Arsenal, Ala., 1971), U. S. Army Research Office (Durham, N. C.), Report No. 72–1. U. S. Army Res. Office-Durham, Durham, N. C
    • E. J. Haug. Distributed parameter optimal design. In Transactions of the Seventeenth Conference of Army Mathematicians (U. S. Army Missile Command, Redstone Arsenal, Ala., 1971), pages 859–879. U. S. Army Research Office (Durham, N. C.), Report No. 72–1. U. S. Army Res. Office-Durham, Durham, N. C., 1972.
    • (1972) Transactions of the Seventeenth Conference of Army Mathematicians , pp. 859-879
    • Haug, E.J.1
  • 84
    • 0015433396 scopus 로고
    • A computational method for optimal structural design. I. Piecewise uniform structures
    • E. J. Haug, K. C. Pan, and T. D. Streeter. A computational method for optimal structural design. I. Piecewise uniform structures. Internat. J. Numer. Methods Engrg., 5(2):171–184, 1972.
    • (1972) Internat. J. Numer. Methods Engrg. , vol.5 , Issue.2 , pp. 171-184
    • Haug, E.J.1    Pan, K.C.2    Streeter, T.D.3
  • 85
    • 0011005112 scopus 로고
    • volume 50 of NATO Advanced Study Institute Series E: Applied Sciences, The Hague, Martinus Nijhoff Publishers
    • E.J. Haug and J. Céa, editors. Optimization of distributed parameter structures. Vol. I-II, volume 50 of NATO Advanced Study Institute Series E: Applied Sciences, The Hague, 1981. Martinus Nijhoff Publishers.
    • (1981) Optimization of Distributed Parameter Structures
    • Haug, E.J.1    Céa, J.2
  • 87
    • 0013309148 scopus 로고    scopus 로고
    • On a motion of a solid body in a viscous fluid. Two-dimensional case
    • K.-H. Hoffmann and V. N. Starovoitov. On a motion of a solid body in a viscous fluid. Two-dimensional case. Adv. Math. Sci. Appl., 9(2):633– 648, 1999.
    • (1999) Adv. Math. Sci. Appl. , vol.9 , Issue.2 , pp. 633-648
    • Hoffmann, K.-H.1    Starovoitov, V.N.2
  • 88
    • 0039520131 scopus 로고    scopus 로고
    • p regularity problem for the heat equation in non-cylindrical domains
    • p regularity problem for the heat equation in non-cylindrical domains. Ill. J. Math., 43(4):752–769, 1999.
    • (1999) Ill. J. Math. , vol.43 , Issue.4 , pp. 752-769
    • Hofmann, S.1    Lewis, J.L.2
  • 90
    • 85057228891 scopus 로고
    • Analyse numérique de deux problèmes de domaine optimal et de contrôle ponctuel. PhD thesis
    • J. Jaffre. Analyse numérique de deux problèmes de domaine optimal et de contrôle ponctuel. PhD thesis, Paris VI, 1974.
    • (1974) Paris , pp. VI
    • Jaffre, J.1
  • 91
    • 0001453686 scopus 로고
    • Parameter and domain dependence of eigenvalues of elliptic partial differential equations
    • D.D. Joseph. Parameter and domain dependence of eigenvalues of elliptic partial differential equations. Arch. Rational Mech. Anal., 24:325– 351, 1967.
    • (1967) Arch. Rational Mech. Anal. , vol.24 , pp. 325-351
    • Joseph, D.D.1
  • 92
    • 0015735750 scopus 로고
    • Domain perturbations: The higher order theory of infinitesimal water waves
    • D.D. Joseph. Domain perturbations: the higher order theory of infinitesimal water waves. Arch. Rational Mech. Anal., 51:295–303, 1973.
    • (1973) Arch. Rational Mech. Anal. , vol.51 , pp. 295-303
    • Joseph, D.D.1
  • 93
    • 0442331525 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin, 2000. Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Tróia, June 1–6, 1998, Edited by A. Cellina and A. Ornelas, Fondazione C.I.M.E.[C.I.M.E. Foundation]
    • B. Kawohl, O. Pironneau, L. Tartar, and J.-P. Zolésio. Optimal shape design, volume 1740 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 2000. Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Tróia, June 1–6, 1998, Edited by A. Cellina and A. Ornelas, Fondazione C.I.M.E.[C.I.M.E. Foundation].
    • Optimal Shape Design, Volume 1740 of Lecture Notes in Mathematics
    • Kawohl, B.1    Pironneau, O.2    Tartar, L.3    Zolésio, J.-P.4
  • 94
    • 0000225931 scopus 로고
    • Numerical methods for nonlinear three-dimensional elasticity
    • pages, North-Holland, Amsterdam
    • P. Le Tallec. Numerical methods for nonlinear three-dimensional elasticity. In Handbook of numerical analysis, Vol. 3, pages 465–622. North-Holland, Amsterdam, 1994.
    • (1994) Handbook of Numerical Analysis , vol.3 , pp. 465-622
    • Le Tallec, P.1
  • 95
    • 0035793736 scopus 로고    scopus 로고
    • Fluid structure interaction with large structural displacements
    • P. Le Tallec and J. Mouro. Fluid structure interaction with large structural displacements. Comput. Methods Appl. Mech. Engrg., 190(24-25):3039–3067, 2001.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , Issue.24-25 , pp. 3039-3067
    • Le Tallec, P.1    Mouro, J.2
  • 96
    • 3543131040 scopus 로고
    • Sur les problèmes mixtes pour certains systèmes paraboliques dans des ouverts non cylindriques
    • J-L. Lions. Sur les problèmes mixtes pour certains systèmes paraboliques dans des ouverts non cylindriques. Ann. Inst. Fourier, 7:143–182, 1957.
    • (1957) Ann. Inst. Fourier , vol.7 , pp. 143-182
    • Lions, J.-L.1
  • 100
    • 0345975854 scopus 로고    scopus 로고
    • Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions
    • G. Lumer and R. Schnaubelt. Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions. J. Evol. Equ., 1(3):291–309, 2001.
    • (2001) J. Evol. Equ. , vol.1 , Issue.3 , pp. 291-309
    • Lumer, G.1    Schnaubelt, R.2
  • 102
    • 0014796553 scopus 로고
    • Optimal design of structures with constraints on natural frequency
    • B. R. McCart, E. J. Haug, and T. D. Streeter. Optimal design of structures with constraints on natural frequency. AIAA J., 8:1012– 1019, 1970.
    • (1970) AIAA J , vol.8 , pp. 1012-1019
    • McCart, B.R.1    Haug, E.J.2    Streeter, T.D.3
  • 104
    • 0000028292 scopus 로고
    • Metrica per famiglie di domini limitati e proprietà generiche degli autovalori
    • A. M. Micheletti. Metrica per famiglie di domini limitati e proprietà generiche degli autovalori. Ann. Scuola Norm. Sup. Pisa (3), 26:683– 694, 1972.
    • (1972) Ann. Scuola Norm. Sup. Pisa , vol.26 , Issue.3 , pp. 683-694
    • Micheletti, A.M.1
  • 105
    • 0001106398 scopus 로고
    • Perturbazione dello spettro dell’operatore di Laplace, in relazione ad una variazione del campo
    • A. M. Micheletti. Perturbazione dello spettro dell’operatore di Laplace, in relazione ad una variazione del campo. Ann. Scuola Norm. Sup. Pisa (3), 26:151–169, 1972.
    • (1972) Ann. Scuola Norm. Sup. Pisa , vol.26 , Issue.3 , pp. 151-169
    • Micheletti, A.M.1
  • 106
    • 67649191004 scopus 로고
    • Variation d’un point de retournement par rapport au domaine
    • F. Mignot, F. Murat, and J.-P. Puel. Variation d’un point de retournement par rapport au domaine. Comm. Partial Differential Equations, 4(11):1263–1297, 1979.
    • (1979) Comm. Partial Differential Equations , vol.4 , Issue.11 , pp. 1263-1297
    • Mignot, F.1    Murat, F.2    Puel, J.-P.3
  • 107
    • 84932361591 scopus 로고
    • Une méthode d’optimisation de forme de domaine. Application à l’écoulement stationnaire à travers une digue poreuse
    • Lecture Notes in Econom. and Math. Systems, Springer, Berlin
    • Ph. Morice. Une méthode d’optimisation de forme de domaine. Application à l’écoulement stationnaire à travers une digue poreuse. In Control theory, numerical methods and computer systems modelling (Internat. Sympos., IRIA LABORIA, Rocquencourt, 1974), pages 454–467. Lecture Notes in Econom. and Math. Systems, Vol. 107. Springer, Berlin, 1975.
    • (1975) Control Theory, Numerical Methods and Computer Systems Modelling (Internat. Sympos., IRIA LABORIA, Rocquencourt, 1974) , vol.107 , pp. 454-467
    • Morice, P.1
  • 110
    • 84911304914 scopus 로고
    • Limit analysis of plastic structures subject to boundary variations
    • Z. Mróz. Limit analysis of plastic structures subject to boundary variations. Arch. Mech. Stos., 15:63–76, 1963.
    • (1963) Arch. Mech. Stos. , vol.15 , pp. 63-76
    • Mróz, Z.1
  • 111
    • 0000549670 scopus 로고
    • Un contre-exemple pour le problème du contrôle dans les coefficients
    • F. Murat. Un contre-exemple pour le problème du contrôle dans les coefficients. C. R. Acad. Sci. Paris Sér. A-B, 273:A708–A711, 1971.
    • (1971) C. R. Acad. Sci. Paris Sér. A-B , vol.273 , pp. A708-A711
    • Murat, F.1
  • 112
    • 2342643176 scopus 로고
    • Théorèmes de non-existence pour des problèmes de contrôle dans les coefficients
    • F. Murat. Théorèmes de non-existence pour des problèmes de contrôle dans les coefficients. C. R. Acad. Sci. Paris Sér. A-B, 274:A395–A398, 1972.
    • (1972) C. R. Acad. Sci. Paris Sér. A-B , vol.274 , pp. A395-A398
    • Murat, F.1
  • 113
    • 85057238848 scopus 로고
    • Sur le contrôle d’un système par les coefficients de l’opérateur ou par un domaine géométrique. PhD thesis
    • F. Murat. Sur le contrôle d’un système par les coefficients de l’opérateur ou par un domaine géométrique. PhD thesis, Université Paris VI, 1976.
    • (1976) Université Paris , pp. VI
    • Murat, F.1
  • 114
    • 0007009933 scopus 로고
    • Contre-exemples pour divers problèmes où le contrôle intervient dans les coefficients
    • F. Murat. Contre-exemples pour divers problèmes où le contrôle intervient dans les coefficients. Ann. Mat. Pura Appl. (4), 112:49–68, 1977.
    • (1977) Ann. Mat. Pura Appl. , vol.112 , Issue.4 , pp. 49-68
    • Murat, F.1
  • 118
    • 0026813302 scopus 로고
    • An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and rigid body
    • T. Nomura and T.J. Hughes. An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and rigid body. Computer Methods in Applied Mechanics and Engineering, 95:115–138, 1992.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.95 , pp. 115-138
    • Nomura, T.1    Hughes, T.J.2
  • 119
    • 0024138956 scopus 로고
    • A two-dimensional FEM adaptive moving-node method for steady Euler Flow Simulations
    • B. Palmerio. A two-dimensional FEM adaptive moving-node method for steady Euler Flow Simulations. Computer Methods in Applied Mechanics and Engineering, 71:315–340, 1988.
    • (1988) Computer Methods in Applied Mechanics and Engineering , vol.71 , pp. 315-340
    • Palmerio, B.1
  • 121
    • 0141820802 scopus 로고    scopus 로고
    • Numerical simulations of wind effects on flexible civil engineering structures
    • S. Piperno and P.-E. Bournet. Numerical simulations of wind effects on flexible civil engineering structures. Rev. Eur. Élém. Finis, 1999.
    • (1999) Rev. Eur. Élém. Finis
    • Piperno, S.1    Bournet, P.-E.2
  • 122
    • 84900823582 scopus 로고    scopus 로고
    • Design of efficient partitioned procedures for the transient solution of aeroelastic problems
    • S. Piperno and C. Farhat. Design of efficient partitioned procedures for the transient solution of aeroelastic problems. Rev. Eur. Élém. Finis, 9(6-7):655–680, 2001.
    • Rev. Eur. Élém. Finis , vol.9 , Issue.6-7 , pp. 655-680
    • Piperno, S.1    Farhat, C.2
  • 123
    • 84976131608 scopus 로고
    • On optimum profiles in Stokes flow
    • O. Pironneau. On optimum profiles in Stokes flow. J. Fluid Mech., 59:117–128, 1973.
    • (1973) J. Fluid Mech. , vol.59 , pp. 117-128
    • Pironneau, O.1
  • 124
    • 0016383609 scopus 로고
    • On optimum design in fluid mechanics
    • O. Pironneau. On optimum design in fluid mechanics. J. Fluid Mech., 64:97–110, 1974.
    • (1974) J. Fluid Mech. , vol.64 , pp. 97-110
    • Pironneau, O.1
  • 125
    • 0004004980 scopus 로고
    • Optimal shape design for elliptic systems
    • New York: Springer-Verlag. XII
    • O. Pironneau. Optimal shape design for elliptic systems. Springer Series in Computational Physics. New York: Springer-Verlag. XII, 1984.
    • (1984) Springer Series in Computational Physics
    • Pironneau, O.1
  • 126
    • 27144502199 scopus 로고
    • Propriétés d’une intégrale de l’équation parabolique dans un domaine non cylindrique
    • A. Piskorek. Propriétés d’une intégrale de l’équation parabolique dans un domaine non cylindrique. Ann. Pol. Math., 8:125–137, 1960.
    • (1960) Ann. Pol. Math. , vol.8 , pp. 125-137
    • Piskorek, A.1
  • 127
    • 51649219296 scopus 로고
    • Sur les conditions de stabilité d’une discontinuité dans un milieu continu
    • H. Poncin. Sur les conditions de stabilité d’une discontinuité dans un milieu continu. Acta Math., 71:1–62, 1939.
    • (1939) Acta Math , vol.71 , pp. 1-62
    • Poncin, H.1
  • 128
    • 22644451398 scopus 로고    scopus 로고
    • On evolution equations for moving domains
    • G. Prokert. On evolution equations for moving domains. Z. Anal. Anwend., 18(1):67–95, 1999.
    • (1999) Z. Anal. Anwend. , vol.18 , Issue.1 , pp. 67-95
    • Prokert, G.1
  • 129
    • 0035419980 scopus 로고    scopus 로고
    • Shape reconstruction of buried obstacles by controlled evolution of a level set: From a min-max formulation to numerical experimentation
    • Special issue to celebrate Pierre Sabatier’s 65th birthday (Montpellier, 2000)
    • C. Ramananjaona, M. Lambert, D. Lesselier, and J.-P. Zolésio. Shape reconstruction of buried obstacles by controlled evolution of a level set: from a min-max formulation to numerical experimentation. Inverse Problems, 17(4):1087–1111, 2001. Special issue to celebrate Pierre Sabatier’s 65th birthday (Montpellier, 2000).
    • (2001) Inverse Problems , vol.17 , Issue.4 , pp. 1087-1111
    • Ramananjaona, C.1    Lambert, M.2    Lesselier, D.3    Zolésio, J.-P.4
  • 130
    • 21744436909 scopus 로고    scopus 로고
    • Weak solutions of parabolic equations in non-cylindrical domains
    • R.M. Russell, H. Wei, and G.M. Lieberman. Weak solutions of parabolic equations in non-cylindrical domains. Proc. Am. Math. Soc., 125(6):1785–1792, 1997.
    • (1997) Proc. Am. Math. Soc. , vol.125 , Issue.6 , pp. 1785-1792
    • Russell, R.M.1    Wei, H.2    Lieberman, G.M.3
  • 131
    • 0036488716 scopus 로고    scopus 로고
    • Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
    • J.A. San Martín, V. Starovoitov, and M. Tucsnak. Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid. Arch. Ration. Mech. Anal., 161(2):113–147, 2002.
    • (2002) Arch. Ration. Mech. Anal. , vol.161 , Issue.2 , pp. 113-147
    • San Martín, J.A.1    Starovoitov, V.2    Tucsnak, M.3
  • 132
    • 0031116851 scopus 로고    scopus 로고
    • Parabolic problems with mixed variable lateral conditions: An abstract approach
    • G. Savaré. Parabolic problems with mixed variable lateral conditions: an abstract approach. J. Math. Pures Appl., 76:321–351, 1997.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 321-351
    • Savaré, G.1
  • 133
    • 0002386342 scopus 로고
    • Chute libre d’un solide dans un fluide visqueux incompressible. Existence. (Free falling body in a viscous incompressible fluid. Existence)
    • D. Serre. Chute libre d’un solide dans un fluide visqueux incompressible. Existence. (Free falling body in a viscous incompressible fluid. Existence). Japan J. Appl. Math., 4:99–110, 1987.
    • (1987) Japan J. Appl. Math. , vol.4 , pp. 99-110
    • Serre, D.1
  • 134
    • 0001351887 scopus 로고
    • Differentiation with respect to the domain in boundary value problems
    • J. Simon. Differentiation with respect to the domain in boundary value problems. Numer. Funct. Anal. Optim., 2(7-8):649–687, 1980.
    • (1980) Numer. Funct. Anal. Optim. , vol.2 , Issue.7-8 , pp. 649-687
    • Simon, J.1
  • 137
    • 0001007548 scopus 로고
    • On optimal shape design
    • V. Šverák. On optimal shape design. J. Math. Pures Appl. (9), 72(6):537–551, 1993.
    • (1993) J. Math. Pures Appl. , vol.72 , Issue.9 , pp. 537-551
    • Šverák, V.1
  • 138
    • 2942538767 scopus 로고    scopus 로고
    • Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
    • T. Takahashi and M. Tucsnak. Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid. J. Math. Fluid Mech., 6(1):53–77, 2004.
    • (2004) J. Math. Fluid Mech. , vol.6 , Issue.1 , pp. 53-77
    • Takahashi, T.1    Tucsnak, M.2
  • 140
  • 142
    • 0025433632 scopus 로고
    • Stabilization and control of distributed systems with time-dependent spatial domains
    • P. K. C Wang. Stabilization and control of distributed systems with time-dependent spatial domains. J. Optimization Theory Appl., 65(2):331–362, 1990.
    • (1990) J. Optimization Theory Appl. , vol.65 , Issue.2 , pp. 331-362
    • Wang, P.K.C.1
  • 144
    • 0032581321 scopus 로고    scopus 로고
    • An adjoint method for the inverse design of solidification processes with natural convection
    • G.Z. Yang and N. Zabaras. An adjoint method for the inverse design of solidification processes with natural convection. Int. J. Numer. Methods Eng., 42(6):1121–1144, 1998.
    • (1998) Int. J. Numer. Methods Eng. , vol.42 , Issue.6 , pp. 1121-1144
    • Yang, G.Z.1    Zabaras, N.2
  • 146
    • 0011898619 scopus 로고
    • An optimal design procedure for optimal control support
    • Lecture Notes in Econom. and Math. Systems, Springer, Berlin
    • J.-P. Zolésio. An optimal design procedure for optimal control support. In Convex analysis and its applications (Proc. Conf., Muret-le-Quaire, 1976), pages 207–219. Lecture Notes in Econom. and Math. Systems, Vol. 144. Springer, Berlin, 1977.
    • (1977) Convex Analysis and Its Applications (Proc. Conf., Muret-Le-Quaire, 1976) , vol.144 , pp. 207-219
    • Zolésio, J.-P.1
  • 148
    • 4243682436 scopus 로고
    • Solution variationnelle d’un problème de valeur propre non linéaire et frontière libre en physique des plasmas
    • J.-P. Zolésio. Solution variationnelle d’un problème de valeur propre non linéaire et frontière libre en physique des plasmas. C. R. Acad. Sci. Paris Sér. A-B, 288(19):A911–A913, 1979.
    • (1979) C. R. Acad. Sci. Paris Sér. A-B , vol.288 , Issue.19 , pp. A911-A913
    • Zolésio, J.-P.1
  • 151
    • 0011846742 scopus 로고
    • Shape stabilization of flexible structure
    • J.-P. Zolésio. Shape stabilization of flexible structure. Lect. Notes Control Inf. Sci., 75:446–460, 1985.
    • (1985) Lect. Notes Control Inf. Sci. , vol.75 , pp. 446-460
    • Zolésio, J.-P.1
  • 152
    • 0025549459 scopus 로고
    • Galerkine approximation for wave equation in moving domain
    • J.-P. Zolésio. Galerkine approximation for wave equation in moving domain. Lect. Notes Control Inf. Sci., 147:191–225, 1990.
    • (1990) Lect. Notes Control Inf. Sci. , vol.147 , pp. 191-225
    • Zolésio, J.-P.1
  • 153
    • 0002491212 scopus 로고
    • Weak shape formulation of free boundary problems
    • J.-P. Zolésio. Weak shape formulation of free boundary problems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 21(1):11–44, 1994.
    • (1994) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.21 , Issue.4 , pp. 11-44
    • Zolésio, J.-P.1
  • 156
    • 80053270849 scopus 로고    scopus 로고
    • Shape analysis and weak flow
    • J.-P. Zolésio. Shape analysis and weak flow. Lect. Notes Math., 1740:157–341, 2000.
    • (2000) Lect. Notes Math. , vol.1740 , pp. 157-341
    • Zolésio, J.-P.1
  • 157
    • 55049093957 scopus 로고    scopus 로고
    • Weak set evolution and variational applications
    • J.-P. Zolésio. Weak set evolution and variational applications. Lect. Notes Pure Appl. Math., 216:415–439, 2001.
    • (2001) Lect. Notes Pure Appl. Math. , vol.216 , pp. 415-439
    • Zolésio, J.-P.1


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