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• W2886977095 abstract "A class of convex constrained minimization problems over polyhedral cones for geometry-dependent quadratic objective functions is considered in a functional analysis framework. Shape differentiability of the primal minimization problem needs a bijective property for mapping of the primal cone. This restrictive assumption is relaxed to bijection of the dual cone within the Lagrangian formulation as a primal-dual minimax problem. In this paper, we give results on primal-dual shape sensitivity analysis that extends the class of shape-differentiable problems supported by explicit formula of the shape derivative. We apply the results to the Stokes problem under mixed Dirichlet-Neumann boundary conditions subject to the divergence-free constraint." @default.
• W2886977095 created "2018-08-22" @default.
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• W2886977095 date "2018-01-01" @default.
• W2886977095 modified "2023-09-27" @default.
• W2886977095 title "Shape Differentiability of Lagrangians and Application to Stokes Problem" @default.
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• W2886977095 doi "https://doi.org/10.1137/17m1125327" @default.
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