a1 INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay, France. Miguel.Fernandez@inria.fr; Jean-Frederic.Gerbeau@inria.fr
a2 University of Technology of Compiègne, LMAC, GI, Royallieu, BP 20529, 60205 Compiègne, France. Vincent.Martin@utc.fr
We propose a model for a medical device, called a stent, designed for the treatment of cerebral aneurysms. The stent consists of a grid, immersed in the blood flow and located at the inlet of the aneurysm. It aims at promoting a clot within the aneurysm. The blood flow is modelled by the incompressible Navier-Stokes equations and the stent by a dissipative surface term. We propose a stabilized finite element method for this model and we analyse its convergence in the case of the Stokes equations. We present numerical results for academical test cases, and on a realistic aneurysm obtained from medical imaging.
(Received February 5 2007)
(Online publication August 12 2008)
Mathematics Subject Classification: