Biomedical Engineering Reference
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27. S. Canic, J. Tambaca, G. Guidoboni, A. Mikelic, C.J. Hartley, D. Rosenstrauch, Modeling
viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. SIAM J.
Appl. Math. 67 (1), 164-193 (2006)
28. S. Canic, C.J. Hartley, D. Rosenstrauch, J. Tambaca, G. Guidoboni, A. Mikelic, Blood flow
in compliant arteries: an effective viscoelastic reduced model, numerics and experimental
validation. Ann. Biomed. Eng. 34 , 575-592 (2006)
29. S. Canic, B. Muha, M. Bukac, Stability of the kinematically coupled LJ-scheme for fluid-
structure interaction problems in hemodynamics (submitted), arXiv:1205.6887v1
30. P. Causin, J. Gerbeau, F. Nobile, Added-mass effect in the design of partitioned algorithms
for fluid-structure problems.
Comput. Methods Appl. Mech. Eng. 194 (42-44), 4506-4527
(2005)
31. M. Cervera, R. Codina, M. Galindo, On the computational efficiency and implementation of
block-iterative algorithms for nonlinear coupled problems. Eng. Comput. 13 , 4-30 (1996)
32. A. Chambolle, B. Desjardins, M.J. Esteban, C. Grandmont, Existence of weak solutions for
the unsteady interaction of a viscous fluid with an elastic plate. J. Math. Fluid Mech. 7 (3),
368-404 (2005)
33. C.H.A. Cheng, D. Coutand, S. Shkoller, Navier-Stokes equations interacting with a nonlinear
elastic biofluid shell. SIAM J. Math. Anal. 39 (3), 742-800 (2007)
34. C.H.A. Cheng, S. Shkoller, The interaction of the 3D Navier-Stokes equations with a moving
nonlinear Koiter elastic shell. SIAM J. Math. Anal. 42 (3), 1094-1155 (2010)
35. P.G. Ciarlet, A two-dimensional nonlinear shell model of Koiter type. C. R. Acad. Sci. Paris
Ser. I Math. 331 , 405-410 (2000)
36. C.H. Ciarlet, D. Cautnad, An existence theorem for nonlinearly elastic “flexural” shells. J.
Elast. 50 (3), 261-277 (1998)
37. P.G. Ciarlet, V. Lods, Asymptotic analysis of linearly elastic shells. III. Justification of
Koiter's shell equations. Arch. Ration. Mech. Anal. 136 , 191-200 (1996)
38. C.R. Ciarlet, A. Roquefort, Justification of a two-dimensional shell model of Koiter type. C.
R. Acad. Sci. Paris, Ser. I Math. 331 (5), 411-416 (2000)
39. M. Cinthio, A.R. Ahlgren, T. Jansson, A. Eriksson, H.W. Persson, K. Lindstrom, Evaluation
of an ultrasonic echo-tracking method for measurements of arterial wall movements in two
dimensions. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52 (8), 1300-1311 (2005)
40. M. Cinthio, A. Ahlgren, J. Bergkvist, T. Jansson, H.W. Persson, K. Lindstrom, Longitudinal
movements and resulting shear strain of the arterial wall. Am. J. Physiol. Heart Circ. Physiol.
291 (1), H394-H402 (2006)
41. C. Conca, J. San Martín, M. Tucsnak, Motion of a rigid body in a viscous fluid. C. R. Acad.
Sci. Paris Sér. I Math. 328 (6), 473-478 (1999)
42. G.H. Cottet, E. Maitre, T. Milcent, Eulerian formulation and level set models for incompress-
ible fluid-structure interaction. Math. Model. Numer. Anal. 42 (3), 471-492 (2008)
43. D. Coutand, S. Shkoller, Motion of an elastic solid inside an incompressible viscous fluid.
Arch. Ration. Mech. Anal. 176 (1), 25-102 (2005)
44. D. Coutand, S. Shkoller, The interaction between quasilinear elastodynamics and the Navier-
Stokes equations. Arch. Ration. Mech. Anal. 179 (3), 303-352 (2006)
45. P. Cumsille, T. Takahashi, Wellposedness for the system modelling the motion of a rigid
body of arbitrary form in an incompressible viscous fluid. Czechoslov. Math. J. 58 (133)(4),
961-992 (2008)
46. H. Demiray, Small but finite amplitude waves in a prestressed viscoelastic thin tube filled
with an inviscid fluid. Int. J. Eng. Sci. 35 (4), 353-363 (1997)
47. S. Deparis, M.A. Fernández, L. Formaggia, Acceleration of a fixed point algorithm for a fluid-
structure interaction using transpiration condition. Math. Model. Numer. Anal. 37 , 601-616
(2003)
48. S. Deparis, M. Discacciati, G. Fourestey, A. Quarteroni, Fluid-structure algorithms based on
Steklov-Poincaré operators. Comput. Methods Appl. Mech. Eng. 195 , 5797-5812 (2006)
49. B. Desjardins, M.J. Esteban, Existence of weak solutions for the motion of rigid bodies in a
viscous fluid. Arch. Ration. Mech. Anal. 146 (1), 59-71 (1999)
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