On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels

[1]  Rudolph E. Langer,et al.  On Numerical Approximation , 1959 .

[2]  D. A. Mcdonald.  Blood flow in arteries , 1974 .

[3]  H Handa,et al.  Stiffness and elastic behavior of human intracranial and extracranial arteries. , 1980, Journal of biomechanics.

[4]  Andrew J. Majda,et al.  Numerical Radiation Boundary Conditions for Unsteady Transonic Flow , 1981 .

[5]  G. Langewouters,et al.  The static elastic properties of 45 human thoracic and 20 abdominal aortas in vitro and the parameters of a new model. , 1984, Journal of biomechanics.

[6]  A. Tözeren.  Elastic properties of arteries and their influence on the cardiovascular system. , 1984, Journal of biomechanical engineering.

[7]  Herbert Reismann,et al.  Elastic Plates: Theory and Application , 1988 .

[8]  J. C. Simo,et al.  On stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization , 1989 .

[9]  J. C. Simo,et al.  On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects , 1989 .

[10]  Philippe G. Ciarlet,et al.  Introduction to Linear Shell Theory , 1989 .

[11]  J. C. Simo,et al.  On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory , 1990 .

[12]  Michael B. Giles,et al.  Nonreflecting boundary conditions for Euler equation calculations , 1990 .

[13]  Michael M. Resch,et al.  Pulsatile non-Newtonian flow characteristics in a three-dimensional human carotid bifurcation model. , 1991, Journal of biomechanical engineering.

[14]  D. Givoli.  Non-reflecting boundary conditions , 1991 .

[15]  C. Jones,et al.  Flow studies in canine artery bifurcations using a numerical simulation method. , 1992, Journal of biomechanical engineering.

[16]  Tayfun E. Tezduyar,et al.  PARALLEL FINITE ELEMENT SIMULATION OF 3D INCOMPRESSIBLE FLOWS: FLUID-STRUCTURE INTERACTIONS , 1995 .

[17]  As Arris Tijsseling,et al.  FLUID-STRUCTURE INTERACTION IN LIQUID- FILLED PIPE SYSTEMS : A REVIEW , 1996 .

[18]  P. Raviart,et al.  Numerical Approximation of Hyperbolic Systems of Conservation Laws , 1996, Applied Mathematical Sciences.

[19]  Rolf Rannacher,et al.  ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER–STOKES EQUATIONS , 1996 .

[20]  Alfio Quarteroni,et al.  Multiscale modelling of the circulatory system: a preliminary analysis , 1999 .

[21]  Alfio Quarteroni,et al.  Computational vascular fluid dynamics: problems, models and methods , 2000 .

[22]  Alfio Quarteroni,et al.  Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations , 2002, SIAM J. Numer. Anal..