Shape Differentiability of Lagrangians and Application to Stokes Problem
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Publication:4691145
DOI10.1137/17M1125327zbMath1401.49011arXiv1808.03584MaRDI QIDQ4691145
Kohji Ohtsuka, Victor A. Kovtunenko
Publication date: 18 October 2018
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03584
LagrangianStokes problemconstrained minimizationshape derivativevelocity methodprimal and dual coneprimal-dual minimax problem
Variational inequalities (49J40) Existence of solutions for minimax problems (49J35) Navier-Stokes equations (35Q30) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (10)
Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian ⋮ Optimal Design for Suppressing Time Fluctuation Part of Two-Dimensional Jet in Crossflow ⋮ Finite element analysis and shape optimization of singular points in boundary value problems for partial differential equations ⋮ Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion ⋮ Directional differentiability for shape optimization with variational inequalities as constraints ⋮ First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks ⋮ Inverse problem of breaking line identification by shape optimization ⋮ On the shape differentiability of objectives: a Lagrangian approach and the Brinkman problem ⋮ Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks
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