Journal
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Volume 42, Issue 6, Pages 961-990Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1051/m2an:2008031
Keywords
Stabilized finite element; sieve problem; blood flow; terminal aneurysm; stent; fluid-structure interaction
Categories
Funding
- Cardiatis
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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.
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