Santiago Badia, Fabio Nobile, and Christian Vergara. Fluid-structure partitioned procedures based on robin transmission conditions. J. Comput. Phys., 227(14):7027–7051, 2008.

P. J. Blanco, S. Deparis, and A. C. I. Malossi. On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems. In preparation, 2012.

J. Bonnemain, A. C. I. Malossi, M. Lesinigo, S. Deparis, A. Quarteroni, and L. K. von Segesser. Numerical simulation of left ventricular assist device implantations: comparing the ascending and the descending aorta cannulations. Med. Eng. Phys., 2013.

Paolo Crosetto, Simone Deparis, Gilles Fourestey, and Alfio Quarteroni. Parallel algorithms for fluid-structure interaction problems in haemodynamics. SIAM J. on Scientific Computing, 33(4):1598–1622, 2011.

Simone Deparis, Marco Discacciati, Gilles Fourestey, and Alfio Quarteroni. Fluid-structure algorithms based on steklov-poincaré operators. Comput. Methods Appl. Mech. Engrg., 195(41-43):5797–5812, 2006.

M.A. Fernández and M. Moubachir. A newton method using exact jacobian for solving fluid-structure coupling. Computers & Structures, 83(2-3):127–142, 2005.

L. Formaggia, D. Lamponi, and A. Quarteroni. One-dimensional models for blood flow in arteries. J. Eng. Math., 47(3–4):251–276, 2003.

Alessio Fumagalli and Anna Scotti. Numerical modelling of multiphase subsurface flow in the presence of fractures. Communications in Applied and Industrial Mathematics, 2011.

J.F. Gerbeau and M. Vidrascu. A quasi-newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. M2AN, 37(4):663–680, 2003.

T. Lassila, A. C. I. Malossi, M. Stevanella, E. Votta, A. Redaelli, and S. Deparis. Multiscale fluid-structure interaction simulation of anatomically correct left ventricle fluid dynamics with fictitious elastic structure regularization. Submitted, 2012.

A. C. I. Malossi and J. Bonnemain. Numerical comparison and calibration of geometrical multiscale models for the simulation of arterial flows. Submitted, 2012.

A. C. I. Malossi, P. J. Blanco, S. Deparis, and A. Quarteroni. Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows. Int. J. Num. Meth. Biomed. Engng., 27(12):2035–2057, 2011.

A. C. I. Malossi, P. J. Blanco, and S. Deparis. A two-level time step technique for the partitioned solution of one-dimensional arterial networks. Comp. Meth. Appl. Mech. Engrg., 237–240:212–226, 2012.

A. C. I. Malossi, P. J. Blanco, P. Crosetto, S. Deparis, and A. Quarteroni. Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels. SIAM J. Multiscale Model. Simul., 2013. To appear.

A. C. I. Malossi. Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System: Models, Algorithms, and Applications. PhD thesis, École Polytechnique Fédérale de Lausanne, 2012.

Buhmann M.D. Radial basis functions: theory and implementations. Cambridge University Press, 2004.