Mathematical and Numerical Analysis of Some FSI Problems - Fluid-Structure Interaction and Biomedical Applications - page 76

135. S. Piperno, C. Farhat, Design of efficient partitioned procedures for the transient solution of
aeroelastic problems, in Fluid-Structure Interaction . Innovative Technology Series (Kogan
Page Science, London, 2003), pp. 23-49
136. S. Piperno, C. Farhat, B. Larrouturou, Partitioned procedures for the transient solution of
coupled aeroelastic problems. Part I: model problem, theory and two-dimensional application.
Comput. Methods Appl. Mech. Eng. 124 , 79-112 (1995)
137. A. Quaini, A. Quarteroni, A semi-implicit approach for fluid-structure interaction based on
an algebraic fractional step method. Math. Models Methods Appl. Sci. 17 , 957-983 (2007)
138. A. Quarteroni, A. Veneziani, Analysis of a geometrical multiscale model based on the
coupling of ODEs and PDEs for blood flow simulations. Multiscale Model. Simul. 1 (2), 173-
195 (2003)
139. A. Quarteroni, M. Tuveri, A. Veneziani, Computational vascular fluid dynamics: problems,
models and methods. Comput. Vis. Sci. 2 , 163-197 (2000)
140. A. Quarteroni, S. Ragni, A. Veneziani, Coupling between lumped and distributed models for
blood flow problems. Second AMIF International Conference (Il Ciocco, 2000). Computing
and Visualization in Science 4 (2), 111-124 (2001)
141. P. Raback, J. Ruokolainen, M. Lyly, E. Jarvinen, in Fluid-structure interaction boundary
conditions by artificial compressibility , ECCOMAS 2008, Venice, Italy, June 30-4 July 2008
142. R. Raghu, I. Vignon-Clementel, C. Figueroa, C. Taylor, Comparative study of viscoelastic
arterial wall models in nonlinear one-dimensional finite element simulations of blood flow.
J. Biomech. Eng. 133 (8), 081003 (2011)
143. R. Rannacher, in On Chorin's projection method for the incompressible Navier-Stokes
equations . The Navier-Stokes equations II-theory and numerical methods (Oberwolfach,
1991). Lecture Notes in Mathematics, vol. 1530 (Springer, Berlin, 1992), pp. 167-183
144. S. Rugonyi, K.J. Bathe, On finite element analysis of fluid flows coupled with structural
interaction. CMES-Comput. Model. Eng. Sci. 2 , 195-212 (2001)
145. R. Salvi, On the existence of free surface problem for viscous incompressible flow. Navier-
Stokes equations and related nonlinear problems (Ferrara, 1999). Ann. Univ. Ferrara Sez. VII
(N.S.) 46 , 251-266 (2000)
146. J. San Martin, V. Starovoitov, M. Tucsnak, Global weak solutions for the two-dimensional
motion of several rigid bodies in an incompressible viscous fluid. Arch. Ration. Mech. Anal.
161 (2), 113-147 (2002)
147. J.A. San Martin, V. Starovoitov, M. Tucsnak, Global weak solutions for the two dimensional
motion of several rigid bodies in an incompressible viscous fluid. Arch. Ration. Mech. Anal.
161 , 93-112 (2002)
148. J. San Martin, J.F. Scheid, T. Takahashi, M. Tucsnak, Convergence of the Lagrange-Galerkin
method for the equations modelling the motion of a fluid-rigid system. SIAM J. Numer. Anal.
43 , 1536-1571 (2005)
149. D. Serre, Chute libre d'un solide dans un fluide visqueux incompressible. Existence (French)
[Free fall of a rigid body in an incompressible viscous fluid. Existence]. Jpn J. Appl. Math.
4 (1), 99-110 (1987)
150. J. Simon, Compact sets in the space L p .0;T I B/. Ann. Mat. Pura Appl. (4), 146 , 65-96
(1987)
151. V.N. Starovoitov, Behavior of a rigid body in an incompressible viscous fluid near a boundary,
in Free Boundary Problems (Trento, 2002) . International Series of Numerical Mathematics,
vol. 147 (Birkhauser, Basel, 2004), pp. 313-327
152. C. Surulescu, On the stationary interaction of a Navier-Stokes fluid with an elastic tube wall.
Appl. Anal. 86 , 149-165 (2007)
153. T. Takahashi, Analysis of strong solutions for the equations modeling the motion of a rigid-
fluid system in a bounded domain. Adv. Differ. Equ. 8 (12), 1499-1532 (2003)
154. T. Takahashi, M. Tucsnak, Global strong solutions for the two-dimensional motion of an
infinite cylinder in a viscous fluid. J. Math. Fluid Mech. 6 (1), 53-77 (2004)
155. R. Temam, Une méthode d'approximation de la solution des équations de Navier-Stokes.
Bull. Soc. Math. France 96 , 115-152 (1968)