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Volumn 256, Issue , 2013, Pages 149-168

State observers of a vascular fluid-structure interaction model through measurements in the solid

Author keywords

Estimation; Fluid structure interaction; Hemodynamics; Observers

Indexed keywords

ADDED MASS EFFECTS; ARBITRARY LAGRANGIAN-EULERIAN FORMULATIONS; ATTRACTIVE STRATEGIES; DIRECT VELOCITY FEEDBACK; ELASTO-DYNAMICS; FLUID DOMAIN; FLUID STATE; LUENBERGER OBSERVERS; LUMPED-PARAMETER; OBSERVER PERFORMANCE; OBSERVERS; STATE OBSERVER; TEST PROBLEM; UNCERTAIN PARAMETERS; UNCERTAINTY ESTIMATION;

EID: 84873108154     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.12.010     Document Type: Article
Times cited : (13)

References (62)
  • 1
    • 44649093246 scopus 로고    scopus 로고
    • Fluid-structure partitioned procedures based on Robin transmission conditions
    • Badia S., Nobile F., Vergara C. Fluid-structure partitioned procedures based on Robin transmission conditions. J. Comput. Phys. 2008, 227:7027-7051.
    • (2008) J. Comput. Phys. , vol.227 , pp. 7027-7051
    • Badia, S.1    Nobile, F.2    Vergara, C.3
  • 2
    • 79551685464 scopus 로고    scopus 로고
    • Towards regional elastography of intracranial aneurysms, Medical Image Computing and Computer -Assisted Intervention-MICCAI 2008
    • S. Balocco, O. Camara, A. Frangi, Towards regional elastography of intracranial aneurysms, Medical Image Computing and Computer-Assisted Intervention-MICCAI 2008, 2008, pp. 131-138.
    • (2008) , pp. 131-138
    • Balocco, S.1    Camara, O.2    Frangi, A.3
  • 3
    • 84873174659 scopus 로고
    • Estimation techniques for distributed parameter systems, of Systems & Control: Foundations & Applications, Birkhäuser Boston Inc., Boston, MA
    • H.T. Banks, K. Kunisch, Estimation techniques for distributed parameter systems, volume 1 of Systems & Control: Foundations & Applications, Birkhäuser Boston Inc., Boston, MA, 1989.
    • (1989) , vol.1
    • Banks, H.T.1    Kunisch, K.2
  • 4
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary
    • Bardos C., Lebeau G., Rauch J. Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. SIAM J. Contr. Optim. 1992, 30(5):1024-1065.
    • (1992) SIAM J. Contr. Optim. , vol.30 , Issue.5 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 5
    • 67649770719 scopus 로고    scopus 로고
    • Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik-2000 left ventricular assist device
    • Bazilevs Y., Gohean J.R., Hughes T.J.R., Moser R.D., Zhang Y. Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik-2000 left ventricular assist device. Comput. Methods Appl. Mech. Eng. 2009, 198(45-46):3534-3550.
    • (2009) Comput. Methods Appl. Mech. Eng. , vol.198 , Issue.45-46 , pp. 3534-3550
    • Bazilevs, Y.1    Gohean, J.R.2    Hughes, T.J.R.3    Moser, R.D.4    Zhang, Y.5
  • 8
    • 84873103183 scopus 로고    scopus 로고
    • Filtering-based data assimilation in fluid-structure interaction: towards personalization of vascular models
    • P. Nithiarasu, R. Löhner (Eds.), 1st International Conference on Mathematical and Computational Biomedical Engineering - CMBE
    • C. Bertoglio, M.A. Fernández, J.-F. Gerbeau, P. Moireau, Filtering-based data assimilation in fluid-structure interaction: towards personalization of vascular models, in: P. Nithiarasu, R. Löhner (Eds.), 1st International Conference on Mathematical and Computational Biomedical Engineering - CMBE, 2009.
    • (2009)
    • Bertoglio, C.1    Fernández, M.A.2    Gerbeau, J.-F.3    Moireau, P.4
  • 9
    • 84859427471 scopus 로고    scopus 로고
    • Sequential parameter estimation for fluid-structure problems: Application to hemodynamics
    • Bertoglio C., Moireau P., Gerbeau J-F. Sequential parameter estimation for fluid-structure problems: Application to hemodynamics. Int. J. Numer. Methods Biomed. Engrg. 2012, 28:434-455.
    • (2012) Int. J. Numer. Methods Biomed. Engrg. , vol.28 , pp. 434-455
    • Bertoglio, C.1    Moireau, P.2    Gerbeau, J.-F.3
  • 10
    • 79851508470 scopus 로고    scopus 로고
    • Cardiac motion recovery by coupling an electromechanical model and cine-MRI data: First steps
    • K. Miller, P.M.F. Nielsen (Eds.), Proceedings of the Workshop on Computational Biomechanics for Medicine III (Workshop MICCAI-2008), September
    • F. Billet, M. Sermesant, H. Delingette, N. Ayache, Cardiac motion recovery by coupling an electromechanical model and cine-MRI data: First steps, in: K. Miller, P.M.F. Nielsen (Eds.), Proceedings of the Workshop on Computational Biomechanics for Medicine III (Workshop MICCAI-2008), September 2008.
    • (2008)
    • Billet, F.1    Sermesant, M.2    Delingette, H.3    Ayache, N.4
  • 11
    • 0003130485 scopus 로고
    • On the stabilization of finite element approximations of the Stokes equations, in: Efficient solutions of elliptic systems (Kiel, 1984), Notes Numer. Fluid Mech., Vieweg
    • F. Brezzi, J. Pitkäranta, On the stabilization of finite element approximations of the Stokes equations, in: Efficient solutions of elliptic systems (Kiel, 1984), volume 10 of Notes Numer. Fluid Mech., Vieweg, 1984, pp. 11-19.
    • (1984) , vol.10 , pp. 11-19
    • Brezzi, F.1    Pitkäranta, J.2
  • 12
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks A.N., Hughes T.J.R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comp. Methods Appl. Mech. Eng. 1982, 32.
    • (1982) Comp. Methods Appl. Mech. Eng. , vol.32
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 13
    • 0012264883 scopus 로고    scopus 로고
    • Mesures de défaut de compacité, application au système de Lamé
    • Burq N., Lebeau G. Mesures de défaut de compacité, application au système de Lamé. Ann. Sci. Ecole Norm. Sup. (4) 2001, 34(6):817-870.
    • (2001) Ann. Sci. Ecole Norm. Sup. (4) , vol.34 , Issue.6 , pp. 817-870
    • Burq, N.1    Lebeau, G.2
  • 14
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • Causin P., Gerbeau J-F., Nobile F. Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Comput. Methods Appl. Mech. Engrg. 2005, 194(42-44):4506-4527.
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , Issue.42-44 , pp. 4506-4527
    • Causin, P.1    Gerbeau, J.-F.2    Nobile, F.3
  • 16
    • 84870176690 scopus 로고    scopus 로고
    • Exponential convergence of an observer based on partial field measurements for the wave equation
    • Chapelle D., Ci{dotless}̂ndea N., De Buhan M., Moireau P. Exponential convergence of an observer based on partial field measurements for the wave equation. Mathematical Problems in Engineering 2012, 10.1155/2012/581053.
    • (2012) Mathematical Problems in Engineering
    • Chapelle, D.1    Cîndea, N.2    De Buhan, M.3    Moireau, P.4
  • 17
    • 84867493906 scopus 로고    scopus 로고
    • Improving convergence in numerical analysis using observers - The wave-like equation case. Mathematical Models and Methods in Applied Sciences, 22(12)
    • D. Chapelle, N. Ci{dotless}̂ndea, and P. Moireau. Improving convergence in numerical analysis using observers - The wave-like equation case. Mathematical Models and Methods in Applied Sciences, 22(12), 2012. http://dx.doi.org/10.1142/S0218202512500406.
    • (2012)
    • Chapelle, D.1    Cîndea, N.2    Moireau, P.3
  • 18
    • 60949105324 scopus 로고    scopus 로고
    • Robust filtering for joint state-parameter estimation in distributed mechanical systems
    • Chapelle D., Moireau P., Le Tallec P. Robust filtering for joint state-parameter estimation in distributed mechanical systems. DCDS-A 2009, 23(1/2):65-84.
    • (2009) DCDS-A , vol.23 , Issue.1-2 , pp. 65-84
    • Chapelle, D.1    Moireau, P.2    Le Tallec, P.3
  • 20
    • 80052729982 scopus 로고    scopus 로고
    • Parallel algorithms for fluid-structure interaction problems in haemodynamics
    • Crosetto P., Deparis S., Fourestey G., Quarteroni A. Parallel algorithms for fluid-structure interaction problems in haemodynamics. SIAM J. Sci. Comput. 2011, 33(4):1598-1622.
    • (2011) SIAM J. Sci. Comput. , vol.33 , Issue.4 , pp. 1598-1622
    • Crosetto, P.1    Deparis, S.2    Fourestey, G.3    Quarteroni, A.4
  • 21
    • 0003511170 scopus 로고
    • An introduction to infinite-dimensional linear systems theory
    • Springer-Verlag
    • Curtain R.F., Zwart H.J. An introduction to infinite-dimensional linear systems theory. Texts in Applied Mathematics 1995, Springer-Verlag.
    • (1995) Texts in Applied Mathematics
    • Curtain, R.F.1    Zwart, H.J.2
  • 22
    • 84873206610 scopus 로고    scopus 로고
    • Applications of variational data assimilation in computational hemodynamics, Technical Report TR-2011-002, Emory University
    • M. D'Elia, L. Mirabella, T. Passerini, M. Perego, M. Piccinelli, C. Vergara, A. Veneziani, Applications of variational data assimilation in computational hemodynamics, Technical Report TR-2011-002, Emory University, 2011.
    • (2011)
    • D'Elia, M.1    Mirabella, L.2    Passerini, T.3    Perego, M.4    Piccinelli, M.5    Vergara, C.6    Veneziani, A.7
  • 23
    • 84873173093 scopus 로고    scopus 로고
    • A variational data assimilation procedure for the incompressible navier-stokes equations in hemodynamics
    • D'Elia M., Perego M., Veneziani A. A variational data assimilation procedure for the incompressible navier-stokes equations in hemodynamics. J. Scient. Comput. 2011, 1-20.
    • (2011) J. Scient. Comput. , pp. 1-20
    • D'Elia, M.1    Perego, M.2    Veneziani, A.3
  • 24
    • 38849117839 scopus 로고    scopus 로고
    • A fully implicit computational strategy for strongly coupled fluid-solid interaction
    • Dettmer W.G., Perić D. A fully implicit computational strategy for strongly coupled fluid-solid interaction. Arch. Comput. Methods Eng. 2007, 14(3):205-247.
    • (2007) Arch. Comput. Methods Eng. , vol.14 , Issue.3 , pp. 205-247
    • Dettmer, W.G.1    Perić, D.2
  • 25
    • 84865344358 scopus 로고    scopus 로고
    • Bayesian inference for data assimilation using least-squares finite element methods, in: IOP Conference Series: Materials Science and Engineering 10 012224. IOP Publishing
    • R.P. Dwight, Bayesian inference for data assimilation using least-squares finite element methods, in: IOP Conference Series: Materials Science and Engineering 10 012224. IOP Publishing, 2010.
    • (2010)
    • Dwight, R.P.1
  • 26
    • 80052689076 scopus 로고    scopus 로고
    • Modeling of Congenital Hearts Alliance, A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations, Comput Mech.doi:10.1007/s00466-011-0599-0.
    • M. Esmaily Moghadam, Y. Bazilevs, T.-Y. Hsia, I. Vignon-Clementel, A. Marsden, Modeling of Congenital Hearts Alliance, A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations, Comput. Mech. 48 (2011) 277-291, doi:10.1007/s00466-011-0599-0.
    • (2011) , vol.48 , pp. 277-291
    • Esmaily Moghadam, M.1    Bazilevs, Y.2    Hsia, T.-Y.3    Vignon-Clementel, I.4    Marsden, A.5
  • 27
    • 84859426110 scopus 로고    scopus 로고
    • Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit
    • Fernández M.A. Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit. SeMA J. 2011, 55:59-108.
    • (2011) SeMA J. , vol.55 , pp. 59-108
    • Fernández, M.A.1
  • 28
    • 79960890506 scopus 로고    scopus 로고
    • Algorithms for fluid-structure interaction problems, in: L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Cardiovascular Mathematics, Modeling and simulation of the circulatory system, Springer Verlag(Chapter 9).
    • M.A. Fernández, J.-F. Gerbeau, Algorithms for fluid-structure interaction problems, in: L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Cardiovascular Mathematics, Modeling and simulation of the circulatory system, Springer Verlag, 2009, pp. 307-346 (Chapter 9).
    • (2009) , pp. 307-346
    • Fernández, M.A.1    Gerbeau, J.-F.2
  • 29
    • 31344459572 scopus 로고    scopus 로고
    • A projection algorithm for fluid-structure interaction problems with strong added-mass effect
    • Fernández M.A., Gerbeau J-F., Grandmont C. A projection algorithm for fluid-structure interaction problems with strong added-mass effect. C. R. Math. Acad. Sci. Paris 2006, 342(4):279-284.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.342 , Issue.4 , pp. 279-284
    • Fernández, M.A.1    Gerbeau, J.-F.2    Grandmont, C.3
  • 30
    • 33846286435 scopus 로고    scopus 로고
    • A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
    • Fernández M.A., Gerbeau J-F., Grandmont C. A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid. Int. J. Numer. Methods Engrg. 2007, 69(4):794-821.
    • (2007) Int. J. Numer. Methods Engrg. , vol.69 , Issue.4 , pp. 794-821
    • Fernández, M.A.1    Gerbeau, J.-F.2    Grandmont, C.3
  • 31
    • 0141457822 scopus 로고    scopus 로고
    • Linear fluid-structure stability analysis with transpiration. part ii: numerical analysis and applications
    • Fernández M.A., Le Tallec P. Linear fluid-structure stability analysis with transpiration. part ii: numerical analysis and applications. Comput. Methods Appl. Mech. Engrg. 2003, 192(43):4837-4873.
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , Issue.43 , pp. 4837-4873
    • Fernández, M.A.1    Le Tallec, P.2
  • 33
    • 35148884214 scopus 로고    scopus 로고
    • On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
    • Formaggia L., Moura A., Nobile F. On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. ESAIM-Math. Modell. Numer. Anal. 2007, 41(4):743-770.
    • (2007) ESAIM-Math. Modell. Numer. Anal. , vol.41 , Issue.4 , pp. 743-770
    • Formaggia, L.1    Moura, A.2    Nobile, F.3
  • 34
    • 49049111484 scopus 로고    scopus 로고
    • Numerical experiment for ultrasonic-measurement-integrated simulation of three-dimensional unsteady blood flow
    • Funamoto K., Hayase T., Saijo Y., Yambe T. Numerical experiment for ultrasonic-measurement-integrated simulation of three-dimensional unsteady blood flow. Ann. Biomed. Eng. 2008, 36(8):1383-1397.
    • (2008) Ann. Biomed. Eng. , vol.36 , Issue.8 , pp. 1383-1397
    • Funamoto, K.1    Hayase, T.2    Saijo, Y.3    Yambe, T.4
  • 35
    • 78751615412 scopus 로고    scopus 로고
    • Truly monolithic algebraic multigrid for fluid-structure interaction
    • Gee M.W., Küttler U., Wall W. Truly monolithic algebraic multigrid for fluid-structure interaction. Int. J. Numer. Methods Eng. 2011, 85(8):987-1016.
    • (2011) Int. J. Numer. Methods Eng. , vol.85 , Issue.8 , pp. 987-1016
    • Gee, M.W.1    Küttler, U.2    Wall, W.3
  • 37
    • 70449657420 scopus 로고    scopus 로고
    • A new approach to the stabilization of a fluid-structure interaction model
    • Grobbelaar-Van Dalsen M. A new approach to the stabilization of a fluid-structure interaction model. Appl. Anal. 2009, 88(7):1053-1065.
    • (2009) Appl. Anal. , vol.88 , Issue.7 , pp. 1053-1065
    • Grobbelaar-Van Dalsen, M.1
  • 38
    • 1642308899 scopus 로고    scopus 로고
    • Biofluid mechanics in flexible tubes
    • Grotberg J.B., Jensen O.E. Biofluid mechanics in flexible tubes. Ann. Rev. Fluid Mech. 2004, 36(1):121-147.
    • (2004) Ann. Rev. Fluid Mech. , vol.36 , Issue.1 , pp. 121-147
    • Grotberg, J.B.1    Jensen, O.E.2
  • 40
    • 84873197484 scopus 로고    scopus 로고
    • Eigenvalue analysis for error dynamics of measurement integrated simulation to reproduce real flows
    • Imagawa K., Hayase T. Eigenvalue analysis for error dynamics of measurement integrated simulation to reproduce real flows. Bull. Am. Phys. Soc. 2008, 53.
    • (2008) Bull. Am. Phys. Soc. , vol.53
    • Imagawa, K.1    Hayase, T.2
  • 41
    • 0029199714 scopus 로고
    • A new approach for filtering nonlinear systems, in: American Control Conference
    • S. Julier, J. Uhlmann, H.F. Durrant-Whyte, A new approach for filtering nonlinear systems, in: American Control Conference, 1995, pp. 1628-1632.
    • (1995) , pp. 1628-1632
    • Julier, S.1    Uhlmann, J.2    Durrant-Whyte, H.F.3
  • 42
    • 85024423711 scopus 로고
    • New results in linear filtering and prediction theory
    • Kalman R., Bucy R. New results in linear filtering and prediction theory. Trans. ASME J. Basic. Eng. 1961, 83:95-108.
    • (1961) Trans. ASME J. Basic. Eng. , vol.83 , pp. 95-108
    • Kalman, R.1    Bucy, R.2
  • 43
    • 67651152451 scopus 로고    scopus 로고
    • Augmented lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow
    • Kim H.J., Figueroa C.A., Hughes T.J.R., Jansen K.E., Taylor C.A. Augmented lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow. Comput. Methods Appl. Mech. Eng. 2009, 198(45):3551-3566.
    • (2009) Comput. Methods Appl. Mech. Eng. , vol.198 , Issue.45 , pp. 3551-3566
    • Kim, H.J.1    Figueroa, C.A.2    Hughes, T.J.R.3    Jansen, K.E.4    Taylor, C.A.5
  • 44
    • 0033881499 scopus 로고    scopus 로고
    • An inverse technique to deduce the elasticity of a large artery
    • Lagrée P.-Y. An inverse technique to deduce the elasticity of a large artery. Eur. Phys. J. AP 1999, 9:153-163.
    • (1999) Eur. Phys. J. AP , vol.9 , pp. 153-163
    • Lagrée, P.-Y.1
  • 45
    • 1842449637 scopus 로고    scopus 로고
    • L2(Σ)-regularity of the boundary to boundary operator B * L for hyperbolic and Petrowski PDEs
    • Lasiecka I., Triggiani R. L2(Σ)-regularity of the boundary to boundary operator B * L for hyperbolic and Petrowski PDEs. Abstr. Appl. Anal. 2003, 19:1061-1139.
    • (2003) Abstr. Appl. Anal. , vol.19 , pp. 1061-1139
    • Lasiecka, I.1    Triggiani, R.2
  • 47
    • 80053493850 scopus 로고    scopus 로고
    • Analysis of coupled models for fluid-structure interaction of internal flows, in: L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Cardiovascular Mathematics. Modeling and simulation of the circulatory system, Springer Verlag (Chapter 8).
    • Y. Maday, Analysis of coupled models for fluid-structure interaction of internal flows, in: L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Cardiovascular Mathematics. Modeling and simulation of the circulatory system, Springer Verlag, 2009, pp. 279-306 (Chapter 8).
    • (2009) , pp. 279-306
    • Maday, Y.1
  • 48
    • 33645942105 scopus 로고    scopus 로고
    • Algebraic approximation of dirichlet-to-neumann maps for the equations of linear elasticity
    • Magoulès F., Roux F.X., Series L. Algebraic approximation of dirichlet-to-neumann maps for the equations of linear elasticity. Comput. Methods Appl. Mech. Eng. 2006, 195(29):3742-3759.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , Issue.29 , pp. 3742-3759
    • Magoulès, F.1    Roux, F.X.2    Series, L.3
  • 49
    • 84877014676 scopus 로고    scopus 로고
    • Gerbeau. Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data. Biomechanics and Modeling in Mechanobiology
    • P. Moireau, C. Bertoglio, Xiao N., Figueroa, C.A. Taylor, D. Chapelle, J.-F. Gerbeau. Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data. Biomechanics and Modeling in Mechanobiology, 2012. http://dx.doi.org/10.1007/s10237-012-0418-3.
    • (2012)
    • Moireau, P.1    Bertoglio, C.2    Xiao, N.3    Figueroa, C.A.4    Taylor, D.5    Chapelle, J.-F.6
  • 50
    • 79960935182 scopus 로고    scopus 로고
    • Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
    • Moireau P., Chapelle D. Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems. COCV 2011, 17:380-405. 10.1051/cocv/2010006.
    • (2011) COCV , vol.17 , pp. 380-405
    • Moireau, P.1    Chapelle, D.2
  • 51
    • 36048996040 scopus 로고    scopus 로고
    • Joint state and parameter estimation for distributed mechanical systems
    • Moireau P., Chapelle D., Le Tallec P. Joint state and parameter estimation for distributed mechanical systems. Comput. Methods Appl. Mech. Eng. 2008, 197:659-677.
    • (2008) Comput. Methods Appl. Mech. Eng. , vol.197 , pp. 659-677
    • Moireau, P.1    Chapelle, D.2    Le Tallec, P.3
  • 52
    • 68849111579 scopus 로고    scopus 로고
    • Filtering for distributed mechanical systems using position measurements: Perspective in medical imaging
    • Moireau P., Chapelle D., Le Tallec P. Filtering for distributed mechanical systems using position measurements: Perspective in medical imaging. Inverse Problems 2009, 25(3):35010-35035.
    • (2009) Inverse Problems , vol.25 , Issue.3 , pp. 35010-35035
    • Moireau, P.1    Chapelle, D.2    Le Tallec, P.3
  • 55
    • 84874363618 scopus 로고    scopus 로고
    • Reduced models of the cardiovascular system
    • L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Cardiovascular Mathematics. Modeling and simulation of the circulatory system, Springer Verlag, (Chapter 10).
    • J. Peiró, A. Veneziani, Reduced models of the cardiovascular system, in: L. Formaggia, A. Quarteroni, A. Veneziani (Eds.), Cardiovascular Mathematics. Modeling and simulation of the circulatory system, Springer Verlag, 2009, , pp. 347-394 (Chapter 10).
    • (2009) , pp. 347-394
    • Peiró, J.1    Veneziani, A.2
  • 56
    • 79960391979 scopus 로고    scopus 로고
    • A variational approach for estimating the compliance of the cardiovascular tissue: An inverse fluid-structure interaction problem
    • Perego M., Veneziani A., Vergara C. A variational approach for estimating the compliance of the cardiovascular tissue: An inverse fluid-structure interaction problem. SIAM J. Sci. Comput. 2011, 33(3):1181-1211.
    • (2011) SIAM J. Sci. Comput. , vol.33 , Issue.3 , pp. 1181-1211
    • Perego, M.1    Veneziani, A.2    Vergara, C.3
  • 57
    • 0031742114 scopus 로고    scopus 로고
    • A singular evolutive extended Kalman filter for data assimilation in oceanography
    • Pham D.T., Verron J., Roubeaud M.C. A singular evolutive extended Kalman filter for data assimilation in oceanography. J. Marine Syst. 1998, 16(3-4):323-340.
    • (1998) J. Marine Syst. , vol.16 , Issue.3-4 , pp. 323-340
    • Pham, D.T.1    Verron, J.2    Roubeaud, M.C.3
  • 59
    • 79251500321 scopus 로고    scopus 로고
    • Feedback stabilization of a fluid-structure model
    • Raymond J-P. Feedback stabilization of a fluid-structure model. SIAM J. Contr. Optim. 2010, 48(8):5398-5443.
    • (2010) SIAM J. Contr. Optim. , vol.48 , Issue.8 , pp. 5398-5443
    • Raymond, J.-P.1
  • 60
    • 84889830739 scopus 로고    scopus 로고
    • Optimal state estimation: Kalman, H infinity, and nonlinear approaches, Wiley-Interscience
    • D. Simon, Optimal state estimation: Kalman, H infinity, and nonlinear approaches, Wiley-Interscience, 2006.
    • (2006)
    • Simon, D.1
  • 61
    • 63949086490 scopus 로고    scopus 로고
    • Determination of human arterial wall parameters from clinical data
    • Stalhand J. Determination of human arterial wall parameters from clinical data. Biomech Model Mechanobiol 2009, 8:141-148.
    • (2009) Biomech Model Mechanobiol , vol.8 , pp. 141-148
    • Stalhand, J.1
  • 62
    • 33847335677 scopus 로고    scopus 로고
    • Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
    • Zhang X., Zuazua E. Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Arch. Ration. Mech. Anal. 2007, 184(1):49-120.
    • (2007) Arch. Ration. Mech. Anal. , vol.184 , Issue.1 , pp. 49-120
    • Zhang, X.1    Zuazua, E.2


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