Biomedical Engineering Reference
In-Depth Information
71. L. Formaggia, A. Moura, F. Nobile, On the stability of the coupling of 3D and 1D fluid-
structure interaction models for blood flow simulations. M2AN Math. Model. Numer. Anal.
41 (4), 743-769 (2007)
72. C. Forster, W.A. Wall, E. Ramm, Artificial added mass instabilities in sequential staggered
coupling of nonlinear structures and incompressible viscous flows. Comput. Methods Appl.
Mech. Eng. 7 , 1278-1293 (2007)
73. J. Frehse, J. Málek, M. Steinhauer, An existence result for fluids with shear dependent
viscosity, steady flows. Nonlinear Anal. 30 , 3041-3049 (1997)
74. H. Fujita, N. Sauer, On existence of weak solutions of the Navier-Stokes equations in regions
with moving boundaries. J. Fac. Sci. Univ. Tokyo Sect. I 17 , 403-420 (1970)
75. G.P. Galdi, On the motion of a rigid body in a viscous fluid: a mathematical analysis
with applications, in Handbook of Mathematical Fluid Dynamics , vol. I (Elsevier Science,
Amsterdam, 2002)
76. G.P. Galdi, M. Kyed, Steady flow of a Navier-Stokes liquid past an elastic body. Arch. Ration.
Mech. Anal. 194 (3), 849-875 (2009)
77. D. Gérard-Varet, M. Hillairet, Regularity issues in the problem of fluid structure. Arch.
Ration. Mech. Anal. 195 (2), 375-407 (2010)
78. M. Gérard-Varet, M. Hillairet, Computation of the drag force on a sphere close to a wall: the
roughness issue. ESAIM Math. Model. Numer. Anal. 46 (5), 1201-1224 (2012)
79. D. Gérard-Varet, M. Hillairet, Existence of Weak Solutions Up To Collision for Viscous Fluid-
Solid Systems with Slip. Comm. Pure Appl. Math. (Submitted)
80. D. Gérard-Varet, M. Hillairet, C. Wang, The Influence of Boundary Conditions on the Contact
Problem in a 3D Navier-Stokes Flow. J. Math. Pures Appl. (Appear in)
81. J.-F. Gerbeau, M. Vidrascu, A quasi-Newton algorithm based on a reduced model for fluid-
structure interactions problems in blood flows. Math. Model. Numer. Anal. 37 , 631-648
(2003)
82. P. Geuzaine, C. Grandmont, C. Farhat, Design and analysis of ALE schemes with provable
second-order time-accuracy for inviscid and viscous flow simulations. J. Comput. Phys.
191 (1), 206-227 (2003)
83. O. Glass, F. Sueur, The movement of a solid in an incompressible perfect fluid as a geodesic
flow. Proc. Am. Math. Soc. 140 (6), 2155-2168 (2012)
84. O. Glass, F. Sueur, T. Takahashi, Smoothness of the motion of a rigid body immersed in an
incompressible perfect fluid. Ann. Sci. Ec. Norm. Supér. (4) 45 (1), 1-51 (2012)
85. R. Glowinski, T.W. Pan, J. Périaux, A fictitious domain method for Dirichlet problem and
applications. Comput. Methods Appl. Mech. Eng. 111 , 283-303 (1994)
86. C. Grandmont, Existence et unicit de solutions d'un problme de couplage fluide-structure
bidimensionnel stationnaire (French) [Existence and uniqueness for a two-dimensional
steady-state fluid-structure interaction problem]. C. R. Acad. Sci. Paris Sér. I Math. 326 (5),
651-656 (1998)
87. C. Grandmont, Existence for a three-dimensional steady state fluid-structure interaction
problem. J. Math. Fluid Mech. 4 (1), 76-94 (2002)
88. C. Grandmont, Existence of weak solutions for the unsteady interaction of a viscous fluid
with an elastic plate. SIAM J. Math. Anal. 40 (2), 716-737 (2008)
89. C. Grandmont, Y. Maday, Existence for an unsteady fluid-structure interaction problem.
M2AN Math. Model. Numer. Anal. 34 (3), 609-636 (2000)
90. C. Grandmont, Y. Maday, Some remarks on fluid-structure interaction problems in case
of rigid body plus small perturbations, in Coupling of Fluids, Structures and Waves in
Aeronautics . Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 85
(Springer, Berlin, 2003), pp. 239-250
91. C. Grandmont, A. Soualah, Solutions fortes des quations de Navier-Stokes avec conditions
dissipatives naturelles (French) [Strong solutions of Navier-Stokes equations with natural
dissipative conditions], in Paris-Sud Working Group on Modelling and Scientific Computing
2007-2008 . ESAIM Proceedings, vol. 25 (EDP Science, Les Ulis, 2008), pp. 1-18
Search WWH ::




Custom Search