Free Access
Issue
ESAIM: M2AN
Volume 42, Number 3, May-June 2008
Page(s) 471 - 492
DOI https://doi.org/10.1051/m2an:2008013
Published online 03 April 2008
  1. M. Boulakia, Modélisation et analyse mathématique de problèmes d'interaction fluide-structure. Ph.D. thesis, Université de Versailles, France (2004).
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  3. P.G. Ciarlet, Elasticité tridimensionnelle. Masson (1985).
  4. G.-H. Cottet and E. Maitre, A level-set formulation of immersed boundary methods for fluid-structure interaction problems. C. R. Acad. Sci. Paris, Ser. I 338 (2004) 581–586.
  5. G.-H. Cottet and E. Maitre, A level-set method for fluid-structure interactions with immersed surfaces. Math. Models Methods Appl. Sci. 16 (2006) 415–438. [CrossRef] [MathSciNet]
  6. G.-H. Cottet, E. Maitre and T. Milcent, An Eulerian method for fluid-structure interaction with biophysical applications, in European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, P. Wesseling, E. Oñate and J. Périaux Eds., TU Delft, The Netherlands (2006).
  7. G.A. Holzapfel, Nonlinear solid mechanics: a continuum approach for engineering. Wiley (2000).
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  9. E. Maitre, T. Milcent, G.-H. Cottet, A. Raoult and Y. Usson, Applications of level set methods in computational biophysics. Math. Comput. Model. (to appear).
  10. E. Maitre, C. Misbah and A. Raoult, Comparison between advected-field and level-set methods in the study of vesicle dynamics. (In preparation).
  11. J. Merodio and R.W. Ogden, Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Int. J. Nonlinear Mech. 40 (2005) 213–227. [CrossRef]
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  13. R.W. Ogden, Nonlinear elasticity, anisoptropy, material staility and residual stresses in soft tissue, in Biomechanics of Soft Tissue in Cardiovascular Systems, G.A. Holzapfel and R.W. Ogden Eds., CISM Course and Lectures Series 441, Springer, Wien (2003) 65–108.
  14. S. Osher and R.P. Fedkiw, Level set methods and Dynamic Implicit Surfaces. Springer (2003).
  15. C.S. Peskin, The immersed boundary method. Acta Numer. 11 (2002) 479–517. [CrossRef] [MathSciNet]
  16. P. Smereka, The numerical approximation of a delta function with application to level-set methods. J. Comp. Phys. 211 (2003) 77–90. [CrossRef]
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  19. H. Triebel, Interpolation theory, function spaces, differential operators. North-Holland (1978).

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