• FICTITIOUS DOMAIN APPROACH AND LEVEL-SETS METHOD FOR THE STOKES PROBLEM
Abstract
In this paper, we focus on shape optimization related to the Stokes system. We recall to general framework of classical optimization to compute the shape and topological derivative of a given cost functional. So we combine fictitious domain approach and the two derivatives to propose a numerical scheme (based on level set method) to study the Stokes problem. To end the paper, we give some numerical results for d=2.
Keywords
: Stokes problem, Shape derivative, topological derivative, fictitious domain approach, Xfem method, numerical result.
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