메뉴 건너뛰기




Volumn 52, Issue 2, 2005, Pages 183-218

Sensitivity and approximation of coupled fluid-structure equations by virtual control method

Author keywords

Fluid structure interaction; Mixed formulations; Optimization algorithms; Sensitivity analysis; Virtual control

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONTROL THEORY; NONLINEAR EQUATIONS; OPTIMIZATION; SENSITIVITY ANALYSIS;

EID: 29644431950     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-005-0824-3     Document Type: Article
Times cited : (6)

References (41)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • Adams R. (1975) Sobolev Spaces, Academic Press, New York.
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 2
    • 4544310108 scopus 로고    scopus 로고
    • On the existence of solution for a non-homogeneus Stokes-rod coupled problem
    • Bayada G., Chambat M., Cid B., Vazquez C. (2004) On the existence of solution for a non-homogeneus Stokes-rod coupled problem, Nonlinear Anal. TMA, 59:1-19
    • (2004) Nonlinear Anal. TMA , vol.59 , pp. 1-19
    • Bayada, G.1    Chambat, M.2    Cid, B.3    Vazquez, C.4
  • 3
    • 0029285511 scopus 로고
    • Existence of a solution for a lubrication problem in elastic journal bearings with thin bearing
    • Bayada G., Durany J., Vázquez C. (1995) Existence of a solution for a lubrication problem in elastic journal bearings with thin bearing, Math. Methods Appl. Sci. 18:455-466.
    • (1995) Math. Methods Appl. Sci. , vol.18 , pp. 455-466
    • Bayada, G.1    Durany, J.2    Vázquez, C.3
  • 4
    • 13944271327 scopus 로고    scopus 로고
    • On the existence of strong solution to a coupled fluid-structure evolution problem
    • Beirao da Veiga H. (2004) On the existence of strong solution to a coupled fluid-structure evolution problem, J. Math. Fluid Mech. 6:21-52.
    • (2004) J. Math. Fluid Mech. , vol.6 , pp. 21-52
    • Beirao Da Veiga, H.1
  • 5
    • 29644436944 scopus 로고
    • Formulation variationnelle, approximation et implementation de problèmes de barres et de poutre bi-et tri-dimensionnelles. Partie A: Barres et de poutre tri-dimensionnelles
    • Rocquencourt, France
    • Bernardou M. (1987) Formulation variationnelle, approximation et implementation de problèmes de barres et de poutre bi-et tri-dimensionnelles. Partie A: barres et de poutre tri-dimensionnelles, Rapport de Recherche INRIA, no. 731, Rocquencourt, France.
    • (1987) Rapport de Recherche INRIA, No. 731 , vol.731
    • Bernardou, M.1
  • 7
    • 0000815044 scopus 로고
    • Conception optimale ou identification de formes: Calcul rapide de la dérivée directionnelle de la fonction coût, RAIRO Model
    • Céa J. (1986) Conception optimale ou identification de formes: calcul rapide de la dérivée directionnelle de la fonction coût, RAIRO Model. Math. Anal. Numer. 20(3):371-402.
    • (1986) Math. Anal. Numer. , vol.20 , Issue.3 , pp. 371-402
    • Céa, J.1
  • 8
    • 0038814282 scopus 로고    scopus 로고
    • Finite-element simulation of incompressible fluid flow in an elastic vessel
    • Chen H., Sheu T. (2003) Finite-element simulation of incompressible fluid flow in an elastic vessel, Internat. J. Numer. Methods Fluids 42:131-146.
    • (2003) Internat. J. Numer. Methods Fluids , vol.42 , pp. 131-146
    • Chen, H.1    Sheu, T.2
  • 9
    • 0035536126 scopus 로고    scopus 로고
    • Shape optimal design problem with convective and radiative heat transfer: Analysis and implementation
    • Chenais D., Monnier J., Vila J.P. (2001) Shape optimal design problem with convective and radiative heat transfer: analysis and implementation, J. Optim. Theory Appl. 110(1):75-117.
    • (2001) J. Optim. Theory Appl. , vol.110 , Issue.1 , pp. 75-117
    • Chenais, D.1    Monnier, J.2    Vila, J.P.3
  • 11
    • 10744226180 scopus 로고    scopus 로고
    • Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
    • Deparis S., Fernandez M.A., Formaggia L. (2003) Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions, M2AN Math. Model. Numer. Anal. 37(4):601-616.
    • (2003) M2AN Math. Model. Numer. Anal. , vol.37 , Issue.4 , pp. 601-616
    • Deparis, S.1    Fernandez, M.A.2    Formaggia, L.3
  • 12
  • 13
    • 0035842860 scopus 로고    scopus 로고
    • The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids
    • Farhat C., Geuzaine Ph., Grandmont C. (2001) The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids, J. Comput. Phys. 174(2):669-694.
    • (2001) J. Comput. Phys. , vol.174 , Issue.2 , pp. 669-694
    • Farhat, C.1    Geuzaine, Ph.2    Grandmont, C.3
  • 14
    • 0034140207 scopus 로고    scopus 로고
    • Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems
    • Farhat C., Lesoinne M. (2000) Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems, Comput. Methods Appl. Mech. Engrg. 182(3-4):499-515.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.182 , Issue.3-4 , pp. 499-515
    • Farhat, C.1    Lesoinne, M.2
  • 15
    • 0036670916 scopus 로고    scopus 로고
    • Sensitivity analysis for an incompressible aeroelastic system
    • Fernandez M.A., Moubachir M. (2002) Sensitivity analysis for an incompressible aeroelastic system, Math. Models Methods Appl. Sci. 12(8): 1109-1130.
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , Issue.8 , pp. 1109-1130
    • Fernandez, M.A.1    Moubachir, M.2
  • 16
    • 0038106162 scopus 로고    scopus 로고
    • An exact block-Newton algorithm for solving fluid-structure interaction problems
    • Fernandez M.A., Moubachir M. (2003) An exact block-Newton algorithm for solving fluid-structure interaction problems, C. R. Math. Acad. Sci. Paris 336(8):681-686.
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , Issue.8 , pp. 681-686
    • Fernandez, M.A.1    Moubachir, M.2
  • 17
    • 0035824658 scopus 로고    scopus 로고
    • On the coupling of 3D and ID Navier-Stokes equations for flow problems in compliant vessels
    • Formaggia L., Gerbeau J.F., Nobile F., Quarteroni A. (2001) On the coupling of 3D and ID Navier-Stokes equations for flow problems in compliant vessels, Comput. Methods Appl. Mech. Engrg. 191(6-7):561-582.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.6-7 , pp. 561-582
    • Formaggia, L.1    Gerbeau, J.F.2    Nobile, F.3    Quarteroni, A.4
  • 18
    • 0345223477 scopus 로고    scopus 로고
    • A quasi-Newton algorithm on a reduced model for fluid-structure interaction problems in blood flows
    • Gerbeau J.F., Vidrascu M. (2003) A quasi-Newton algorithm on a reduced model for fluid-structure interaction problems in blood flows, M2AN Math. Model. Numer. Anal. 37(4):631-647.
    • (2003) M2AN Math. Model. Numer. Anal. , vol.37 , Issue.4 , pp. 631-647
    • Gerbeau, J.F.1    Vidrascu, M.2
  • 19
    • 0003208898 scopus 로고
    • Finite Element Methods for Navier-Stokes Equations
    • Springer-Verlag, Berlin
    • Girault V, Raviart P.A. (1986) Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms, Springer-Verlag, Berlin.
    • (1986) Theory and Algorithms
    • Girault, V.1    Raviart, P.A.2
  • 20
    • 0038396652 scopus 로고    scopus 로고
    • Existence et unicité de solutions d'un problme de couplage fluide-structure bidimensionnel stationnaire
    • Grandmont C. (1998) Existence et unicité de solutions d'un problme de couplage fluide-structure bidimensionnel stationnaire, C. R. Acad. Sci. Paris Sér. I Math. 326(5):651-656.
    • (1998) C. R. Acad. Sci. Paris Sér. i Math. , vol.326 , Issue.5 , pp. 651-656
    • Grandmont, C.1
  • 21
    • 0141486165 scopus 로고    scopus 로고
    • Existence for a three-dimensional steady state fluid-structure interaction problem
    • Grandmont C. (2002) Existence for a three-dimensional steady state fluid-structure interaction problem, J. Math. Fluid Mech. 4(1):76-94.
    • (2002) J. Math. Fluid Mech. , vol.4 , Issue.1 , pp. 76-94
    • Grandmont, C.1
  • 22
    • 0034410608 scopus 로고    scopus 로고
    • Existence for an unsteady fluid-structure interaction problem
    • Grandmont C., Maday Y. (2000) Existence for an unsteady fluid-structure interaction problem, M2AN Math. Model. Numer. Anal. 34(3):609-636.
    • (2000) M2AN Math. Model. Numer. Anal. , vol.34 , Issue.3 , pp. 609-636
    • Grandmont, C.1    Maday, Y.2
  • 26
    • 0035793736 scopus 로고    scopus 로고
    • Fluid-structure interaction with large structural displacements
    • Le Tallec P., Mouro J. (2001) Fluid-structure interaction with large structural displacements, Comput. Methods Appl. Mech. Engrg. 190(24-25):3039-3067.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , Issue.24-25 , pp. 3039-3067
    • Le Tallec, P.1    Mouro, J.2
  • 27
    • 17544377999 scopus 로고    scopus 로고
    • A nonlinear programming perspective on sensitivity calculations for systems governed by state equations
    • Hampton, Virginia
    • Lewis R.M. (1997) A Nonlinear Programming Perspective on Sensitivity Calculations for Systems Governed by State Equations, NASA-ICASE Report no. 12, Hampton, Virginia.
    • (1997) NASA-ICASE Report No. 12 , vol.12
    • Lewis, R.M.1
  • 28
    • 0033632933 scopus 로고    scopus 로고
    • Virtual control, replicas and decomposition of operators
    • Lions J.-L., Pironneau O. (2000) Virtual control, replicas and decomposition of operators, C. R. Acad. Sci. Paris Sér. I Math. 330(1):47-54.
    • (2000) C. R. Acad. Sci. Paris Sér. i Math. , vol.330 , Issue.1 , pp. 47-54
    • Lions, J.-L.1    Pironneau, O.2
  • 29
    • 29644433524 scopus 로고    scopus 로고
    • Interaction de fluides potentiels avec une membrane élastique
    • Soc. Math. Appl. Indust., Paris
    • Maday Y., Maury B., Metier P. (1999) Interaction de fluides potentiels avec une membrane élastique, in ESAIMProc. 10, Soc. Math. Appl. Indust., Paris, pp. 23-33.
    • (1999) ESAIMProc. , vol.10 , pp. 23-33
    • Maday, Y.1    Maury, B.2    Metier, P.3
  • 32
    • 17644408141 scopus 로고    scopus 로고
    • Existence of an optimal control for a non-linear fluid-cable interaction problem
    • C.I.R.M. Luminy, France
    • Murea C.M., Maday Y. (1996) Existence of an Optimal Control for a Non-Linear Fluid-Cable Interaction Problem, Rapport of Research CEMRACS 96, C.I.R.M. Luminy, France.
    • (1996) Rapport of Research CEMRACS , vol.96
    • Murea, C.M.1    Maday, Y.2
  • 34
    • 0036294936 scopus 로고    scopus 로고
    • A rotated multiplier applied to the controllability of waves, elasticity and tangential Stokes control
    • Osses A. (2001) A rotated multiplier applied to the controllability of waves, elasticity and tangential Stokes control, SIAM J. Control Optim. 40(3):777-800.
    • (2001) SIAM J. Control Optim. , vol.40 , Issue.3 , pp. 777-800
    • Osses, A.1
  • 35
    • 0029310928 scopus 로고
    • Partitioned procedures for the transient solution of coupled aeroelastic problems. I. Model problem, theory and two-dimensional application, Comput
    • Piperno S., Farhat C., Larrouturou B. (1995) Partitioned procedures for the transient solution of coupled aeroelastic problems. I. Model problem, theory and two-dimensional application, Comput. Methods Appl. Mech. Engrg. 124:79-112.
    • (1995) Methods Appl. Mech. Engrg. , vol.124 , pp. 79-112
    • Piperno, S.1    Farhat, C.2    Larrouturou, B.3
  • 36
    • 0035793728 scopus 로고    scopus 로고
    • Partitioned procedures for the transient solution of coupled aeroelastic problems. II. Energy transfer analysis and three-dimensional application
    • Piperno S., Farhat C., Larrouturou B. (2001) Partitioned procedures for the transient solution of coupled aeroelastic problems. II. Energy transfer analysis and three-dimensional application, Comput. Methods Appl. Mech. Engrg. 190:3147-3170.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3147-3170
    • Piperno, S.1    Farhat, C.2    Larrouturou, B.3
  • 38
    • 13244259750 scopus 로고    scopus 로고
    • Mathematical modelling and numerical simulation of the cardiovascular system
    • ed. N. Ayache, Handbook of Numerical Analysis Series, Elsevier, Amsterdam
    • Quarteroni A., Formaggia L. (2003) Mathematical modelling and numerical simulation of the cardiovascular system, in Modelling of Living Systems, ed. N. Ayache, Handbook of Numerical Analysis Series, Elsevier, Amsterdam.
    • (2003) Modelling of Living Systems
    • Quarteroni, A.1    Formaggia, L.2
  • 40
    • 0036858296 scopus 로고    scopus 로고
    • Partioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction
    • Steindorf J., Matthies H.G. (2002) Partioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction, Comput. & Structures, 80:1991-1999.
    • (2002) Comput. & Structures , vol.80 , pp. 1991-1999
    • Steindorf, J.1    Matthies, H.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.