%0 Journal Article
%J Mathematical Modelling and Numerical Analysis, in press, 2012-13
%D 2012
%T Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
%A Toni Lassila
%A Andrea Manzoni
%A Alfio Quarteroni
%A Gianluigi Rozza
%K shape optimization
%X We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting artery is not completely occluded,\\r\\nfor which the worst-case in terms of recirculation e ffects is inferred to correspond to a strong ori fice flow through near-complete occlusion. A worst-case optimal control approach is applied to the steady\\r\\nNavier-Stokes equations in 2D to identify an anastomosis angle and a cu ed shape that are robust with respect to a possible range of residual \\r\\nflows. We also consider a reduced order modelling framework\\r\\nbased on reduced basis methods in order to make the robust design problem computationally feasible. The results obtained in 2D are compared with simulations in a 3D geometry but without model\\r\\nreduction or the robust framework.
%B Mathematical Modelling and Numerical Analysis, in press, 2012-13
%I Cambridge University Press
%G en
%U http://hdl.handle.net/1963/6337
%1 6267
%2 Mathematics
%4 1
%# MAT/08 ANALISI NUMERICA
%$ Submitted by Gianluigi Rozza (grozza@sissa.it) on 2012-12-13T15:38:41Z\\nNo. of bitstreams: 1\\nLMQR_M2AN_Special_SISSAreport.pdf: 5702019 bytes, checksum: 037e51bde713582eff1ee9766b1b4559 (MD5)