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Title: Shape Hessian for generalized Oseen flow by differentiability of a minimax: A Lagrangian approach (English)
Author: Gao, Zhiming
Author: Ma, Yichen
Author: Zhuang, Hongwei
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 57
Issue: 3
Year: 2007
Pages: 987-1011
Summary lang: English
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Category: math
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Summary: The goal of this paper is to compute the shape Hessian for a generalized Oseen problem with nonhomogeneous Dirichlet boundary condition by the velocity method. The incompressibility will be treated by penalty approach. The structure of the shape gradient and shape Hessian with respect to the shape of the variable domain for a given cost functional are established by an application of the Lagrangian method with function space embedding technique. (English)
Keyword: shape sensitivity analysis
Keyword: shape Hessian
Keyword: Eulerian semiderivative
Keyword: differentiability of a minimax
Keyword: Oseen flow
MSC: 49K35
MSC: 49Q12
MSC: 76D07
MSC: 76D55
idZBL: Zbl 1174.76008
idMR: MR2356935
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Date available: 2009-09-24T11:51:08Z
Last updated: 2016-04-07
Stable URL: http://hdl.handle.net/10338.dmlcz/128221
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