Optimal Shape Design for the Viscous Incompressible Flow

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dc.creatorGao, Zhiming
dc.creatorMa, Yichen
dc.date2007-01-17
dc.date.accessioned2026-07-07T07:41:30Z
dc.date.available2026-07-07T07:41:30Z
dc.descriptionThis paper is concerned with a numerical simulation of shape optimization in a two-dimensional viscous incompressible flow governed by Navier--Stokes equations with mixed boundary conditions containing the pressure. The minimization problem of total dissipated energy was established in the fluid domain. We derive the structures of shape gradient of the cost functional by using the differentiability of a minimax formulation involving a Lagrange functional with a function space parametrization technique. Finally a gradient type algorithm is effectively used for our problem.
dc.description20 pages, 22 figures
dc.identifierhttps://arxiv.org/abs/math/0701470
dc.identifierhttp://arxiv.org/abs/math/0701470
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122134
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject35B37;35Q30;49K35
dc.titleOptimal Shape Design for the Viscous Incompressible Flow
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