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Volumn 9, Issue 3, 2003, Pages 633-650

Analysis of a linear fluid-structure interaction problem

Author keywords

Fluid structure interaction; Incompressible fluid; Linear elasticity

Indexed keywords


EID: 0037564097     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2003.9.633     Document Type: Article
Times cited : (154)

References (30)
  • 1
    • 0040348609 scopus 로고    scopus 로고
    • Finite element analysis of compressible and incompressible fluid-solid systems
    • A. Bermúdez, R. Durán and R. Rodríguez (1998), Finite element analysis of compressible and incompressible fluid-solid systems. Math. Camp., 67, pp.111-136.
    • (1998) Math. Camp. , vol.67 , pp. 111-136
    • Bermúdez, A.1    Durán, R.2    Rodríguez, R.3
  • 2
    • 0032556586 scopus 로고    scopus 로고
    • A monolithical fluid-structure interaction algorithm applied to the piston problem
    • F. Blom (1998), A monolithical fluid-structure interaction algorithm applied to the piston problem. Comput. Methods Appl. Mech. Engrg., 167, pp.369-391
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.167 , pp. 369-391
    • Blom, F.1
  • 3
    • 0007416554 scopus 로고
    • Mathematical formulation of fluid-structure interaction problems
    • J. Boujot (1987), Mathematical formulation of fluid-structure interaction problems. RAIRO Modél. Math. Anal. Numér., 21, pp.239-260.
    • (1987) RAIRO Modél Math. Anal. Numér. , vol.21 , pp. 239-260
    • Boujot, J.1
  • 4
    • 84985309774 scopus 로고
    • A numerical study of a spectral problem in solid-fluid type structures
    • C. Conca and M. Durán (1995), A numerical study of a spectral problem in solid-fluid type structures. Numer. Methods Partial Differential Equations, 11, pp.423-444.
    • (1995) Numer. Methods Partial Differential Equations , vol.11 , pp. 423-444
    • Conca, C.1    Durán, M.2
  • 6
    • 0008520709 scopus 로고
    • A Penalization method for the homogenization of a mixed fluid-structure problem
    • S. Dasser (1995), A Penalization method for the homogenization of a mixed fluid-structure problem. C. R. Acad. Sci. Paris Sér. I Math., 320, pp.759-764.
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.320 , pp. 759-764
    • Dasser, S.1
  • 7
    • 0034355083 scopus 로고    scopus 로고
    • On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models
    • B. Desjardins and M. Esteban (2000), On weak solutions for fluid-rigid structure interaction: compressible and incompressible models. Comm. Partial Differential Equations, 25, pp.1399-1413.
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 1399-1413
    • Desjardins, B.1    Esteban, M.2
  • 8
  • 9
    • 0003448545 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, Rhode Island
    • L. Evans (1998), Partial Differential Equations, American Mathematical Society, Providence, Rhode Island.
    • (1998) Partial Differential Equations
    • Evans, L.1
  • 10
    • 0032053181 scopus 로고    scopus 로고
    • Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
    • C. Farhat, M. Lesoinne and P. LeTallec (1998), Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity. Comput. Methods Appl. Mech. Engrg. 157, pp.95-114.
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.157 , pp. 95-114
    • Farhat, C.1    Lesoinne, M.2    LeTallec, P.3
  • 11
    • 0038058253 scopus 로고    scopus 로고
    • Fluid-structure interaction: Analysis of a 3-D compressible model
    • F. Flori and P. Orenga (2000), Fluid-structure interaction: analysis of a 3-D compressible model. Ann. Inst. H. Poincaré Anal. Non Linéaire, 17, pp.753-777.
    • (2000) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.17 , pp. 753-777
    • Flori, F.1    Orenga, P.2
  • 13
    • 0033101710 scopus 로고    scopus 로고
    • Analysis of a nonlinear fluid-structure interaction problem in velocity-displacement formulation
    • F. Flori and P. Orenga (1999), Analysis of a nonlinear fluid-structure interaction problem in velocity-displacement formulation. Nonlinear Anal., 35, pp.561-587.
    • (1999) Nonlinear Anal. , vol.35 , pp. 561-587
    • Flori, F.1    Orenga, P.2
  • 14
    • 0033229540 scopus 로고    scopus 로고
    • On a nonlinear fluid-structure interaction problem defined on a domain depending on time
    • F. Flori and P. Orenga (1999), On a nonlinear fluid-structure interaction problem defined on a domain depending on time. Nonlinear Anal. 38, pp.549-569
    • (1999) Nonlinear Anal. , vol.38 , pp. 549-569
    • Flori, F.1    Orenga, P.2
  • 15
    • 0030510428 scopus 로고    scopus 로고
    • Mixed finite element methods in fluid structure system
    • L. Gastaldi (1996), Mixed finite element methods in fluid structure system. Numer. Math., 74, pp.153-176.
    • (1996) Numer. Math. , vol.74 , pp. 153-176
    • Gastaldi, L.1
  • 16
    • 0009933535 scopus 로고    scopus 로고
    • Derivation of viscous Saint-Venant system for laminar shallow water: Numerical validation
    • J.-F. Gerbeau and B. Perthame (2001), Derivation of viscous Saint-Venant system for laminar shallow water: numerical validation. Discrete and Continuous Dynamical Systems - Series B, 1, pp.89-102.
    • (2001) Discrete and Continuous Dynamical Systems - Series B , vol.1 , pp. 89-102
    • Gerbeau, J.-F.1    Perthame, B.2
  • 18
    • 0038396652 scopus 로고    scopus 로고
    • Existence and uniqueness for a two-dimensional steady-state fluid-structure interaction problem
    • C. Grandmont (1998), Existence and uniqueness for a two-dimensional steady-state fluid-structure interaction problem. C. R. Acad. Sci. Paris Sér. I Math., 326, pp.651-656.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.326 , pp. 651-656
    • Grandmont, C.1
  • 19
    • 0001611811 scopus 로고    scopus 로고
    • Existence of solutions for a two-dimensional unsteady fluid-structure interaction problem
    • C. Grandmont and Y. Maday (1998), Existence of solutions for a two-dimensional unsteady fluid-structure interaction problem. C. R. Acad. Sci. Paris Sér. I Math., 326, pp.525-530.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.326 , pp. 525-530
    • Grandmont, C.1    Maday, Y.2
  • 21
    • 0001236805 scopus 로고    scopus 로고
    • Global existence of weak solutions for incompressible viscous flow around a moving rigid body in three dimensions;
    • M. Gunzburger, H.-C. Lee and G. Seregin (2000), Global existence of weak solutions for incompressible viscous flow around a moving rigid body in three dimensions; J. Math. Fluid Mech., 2, pp. 219-266.
    • (2000) J. Math. Fluid Mech. , vol.2 , pp. 219-266
    • Gunzburger, M.1    Lee, H.-C.2    Seregin, G.3
  • 22
    • 0038396651 scopus 로고    scopus 로고
    • Weak solutions of fluid-solid interaction problems
    • G. Hsiao, R. Kleinman and G. Roach (2000), Weak solutions of fluid-solid interaction problems. Math. Nachr., 218, pp.139-163.
    • (2000) Math. Nachr. , vol.218 , pp. 139-163
    • Hsiao, G.1    Kleinman, R.2    Roach, G.3
  • 23
    • 0034555195 scopus 로고    scopus 로고
    • Numerical analysis of a linearized fluid-structure interaction problem
    • P. LeTallec and S. Mani (2000), Numerical analysis of a linearized fluid-structure interaction problem. Numer. Math., 87, pp.317-354.
    • (2000) Numer. Math. , vol.87 , pp. 317-354
    • LeTallec, P.1    Mani, S.2
  • 24
    • 0035632256 scopus 로고    scopus 로고
    • On liquid crystal flows with free-slip boundary conditions
    • C. Liu and J. Shen (2001), On liquid crystal flows with free-slip boundary conditions. Discrete and Continuous Dynamical Systems, 7, pp.307-318.
    • (2001) Discrete and Continuous Dynamical Systems , vol.7 , pp. 307-318
    • Liu, C.1    Shen, J.2
  • 25
    • 0032382211 scopus 로고    scopus 로고
    • Asymptotics for the spectrum of a fluid/structure hybrid system arising in the control of noise
    • S. Micu and E. Zuazua (1998), Asymptotics for the spectrum of a fluid/structure hybrid system arising in the control of noise. SIAM J. Math. Anal., 29, pp.967-1001.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 967-1001
    • Micu, S.1    Zuazua, E.2
  • 27
    • 0030518530 scopus 로고    scopus 로고
    • The order of convergence of eigenfrequences in finite element approximations of fluid-structure interaction problems
    • R. Rodríguez and J. Solomin (1996), The order of convergence of eigenfrequences in finite element approximations of fluid-structure interaction problems. Math. Comp., 65, pp.1463-1475.
    • (1996) Math. Comp. , vol.65 , pp. 1463-1475
    • Rodríguez, R.1    Solomin, J.2
  • 28
    • 0038734699 scopus 로고    scopus 로고
    • On equilibria in the interaction of fluids and elastic solids. Theory of the Navier-Stokes equations
    • M. Rumpf (1998), On equilibria in the interaction of fluids and elastic solids. Theory of the Navier-Stokes equations, Ser. Adv. Math. Appl. Sci., 47, pp.136-158.
    • (1998) Ser. Adv. Math. Appl. Sci. , vol.47 , pp. 136-158
    • Rumpf, M.1
  • 29
    • 0000872069 scopus 로고
    • Interactions of an elastic solid with a viscous fluid: Eigenmode analysis
    • R. Schulkes (1992), Interactions of an elastic solid with a viscous fluid: eigenmode analysis. J. Comput. Phys., 100, pp.270-283.
    • (1992) J. Comput. Phys. , vol.100 , pp. 270-283
    • Schulkes, R.1
  • 30
    • 0003887517 scopus 로고    scopus 로고
    • AMS Chelsea Publishing, Providence, Rhode Island
    • R. Temam (2001), Navier-Stokes Equations, AMS Chelsea Publishing, Providence, Rhode Island.
    • (2001) Navier-Stokes Equations
    • Temam, R.1


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