Free Access
Volume 40, Number 6, November-December 2006
Page(s) 1101 - 1125
Published online 15 February 2007
  1. G. Bayada, M. Chambat, B. Cid and C. Vazquez, On the existence of solution for a non-homogeneous Stokes-rod coupled problem. Nonlinear Anal. Theory Methods Appl., 59 (2004) 1–19. [Google Scholar]
  2. H. Beirao da Veiga, On the existence of strong solution to a coupled fluid structure evolution problem. J. Math. Fluid Mech. 6 (2004) 21–52. [CrossRef] [MathSciNet] [Google Scholar]
  3. P. Causin, J.F. Gerbeau, F. Nobile, Added-mass effect in the design of partitioned algorithms for fluid-structure problems, Comput. Methods Appl. Mech. Engrg. 194 (2005) 4506–4527. [Google Scholar]
  4. A. Chambolle, B. Desjardins, M.J. Esteban, C. Grandmont, Existence of weak solutions for an unsteady fluid-plate interaction problem. J. Math. Fluid Mech. 7 (2005) 368–404. [CrossRef] [MathSciNet] [Google Scholar]
  5. R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques. Vol. 7, 9, Masson (1988). [Google Scholar]
  6. J.E. Dennis, Jr., and R.B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations. Classics in Applied Mathematics, 16, Society for Industrial and Applied Mathematics, Philadelphia, PA (1996). [Google Scholar]
  7. S. Deparis, Numerical Analysis of Axisymmetric Flows and Methods for Fluid-Structure Interaction Arising in Blood Flow Simulation, Ph.D. thesis, École Polytechnique Fédérale de Lausanne, Switzerland (2004). [Google Scholar]
  8. S. Deparis, M.A. Fernandez and L. Formaggia, Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. ESAIM: M2AN 37 (2003) 601–616. [CrossRef] [EDP Sciences] [Google Scholar]
  9. B. Desjardins, M. Esteban, C. Grandmont and P. Le Tallec, Weak solutions for a fluid-elastic structure interaction model. Rev. Mat. Complut. 14 (2001) 523–538. [MathSciNet] [Google Scholar]
  10. G. Duvaut and J.-L. Lions, Les inéquations en mécanique et en physique. Dunod, Paris (1972). [Google Scholar]
  11. C. Farhat and M. Lesoinne, Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems, Comput. Methods Appl. Mech. Engrg. 182 (2000) 499–515. [Google Scholar]
  12. M.A. Fernandez and M. Moubachir, A Newton method using exact jacobians for solving fluid-structure coupling. Comput. Struct. 83 (2005) 127–142. [CrossRef] [Google Scholar]
  13. L. Formaggia, J.F. Gerbeau, F. Nobile and A. Quarteroni, On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Comput. Methods Appl. Mech. Engrg. 191 (2001), 561–582. [Google Scholar]
  14. J.F. Gerbeau and M. Vidrascu, A quasi-Newton algorithm on a reduced model for fluid - structure interaction problems in blood flows. ESAIM: M2AN 37 (2003) 663–680. [CrossRef] [EDP Sciences] [Google Scholar]
  15. C. Grandmont, Existence for a three-dimensional steady state fluid-structure interaction problem. J. Math. Fluid Mech. 4 (2002) 76–94. [CrossRef] [MathSciNet] [Google Scholar]
  16. C. Grandmont and Y. Maday, Existence for an unsteady fluid-structure interaction problem. ESAIM: M2AN 34 (2000) 609–636. [CrossRef] [EDP Sciences] [Google Scholar]
  17. J.-L. Guermond and L. Quartapelle, On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Numer. Math. 80 (1998) 207–238. [CrossRef] [MathSciNet] [Google Scholar]
  18. F. Hecht and O. Pironneau, A finite element software for PDE: freefem++, [Google Scholar]
  19. C.T. Kelley, Solving nonlinear equations with Newton's method. Fundamentals of Algorithms. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA (2003). [Google Scholar]
  20. H.P. Langtangen, Computational Partial Differential Equations: numerical methods and Diffpack programming. Springer, Berlin (1999). [Google Scholar]
  21. P. Le Tallec, Introduction à la dynamique des structures, Cours École Polytechnique, Ellipses (2000). [Google Scholar]
  22. P. Le Tallec and J. Mouro, Fluid-structure interaction with large structural displacements. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3039–3067. [Google Scholar]
  23. Y. Maday, B. Maury and P. Metier, Interaction de fluides potentiels avec une membrane élastique, in ESAIM Proc., Soc. Math. Appl. Indust., Paris 10 (1999) 23–33. [Google Scholar]
  24. C. Murea, The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries. Comput. Math. Appl. 49 (2005) 171–186. [CrossRef] [MathSciNet] [Google Scholar]
  25. C. Murea and C. Vazquez, Sensitivity and approximation of the coupled fluid-structure equations by virtual control method. Appl. Math. Optim. 52 (2005) 357–371. [Google Scholar]
  26. F. Nobile, Numerical approximation of fluid-structure interaction problems with application to haemodynamics. Ph.D. thesis, EPFL, Lausanne (2001). [Google Scholar]
  27. O. Pironneau, Conditions aux limites sur la pression pour les équations de Stokes et Navier-Stokes. C. R. Acad. Sc. Paris, 303 (1986) 403–406. [Google Scholar]
  28. A. Quarteroni and L. Formaggia, Mathematical Modelling and Numerical Simulation of the Cardiovascular System. Chapter in Modelling of Living Systems, N. Ayache Ed., Handbook of Numerical Analysis Series, Vol. XII, P.G. Ciarlet Ed., Elsevier, Amsterdam (2004). [Google Scholar]
  29. A. Quarteroni, M. Tuveri and A. Veneziani, Computational vascular fluid dynamics: problems, models and methods. Comput. Visual. Sci. 2 (2000) 163–197. [Google Scholar]
  30. J. Steindorf and H.G. Matthies, Partioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction. Comput. Struct. 80 (2002) 1991–1999. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you