A Variational Method for Second Order Shape Derivatives
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Publication:2807397
DOI10.1137/15100494XzbMath1338.49085arXiv1509.00178MaRDI QIDQ2807397
Ilaria Fragalà, Guy Bouchitté, Ilaria Lucardesi
Publication date: 20 May 2016
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00178
Numerical methods involving duality (49M29) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items (8)
Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source ⋮ Second-order derivative of domain-dependent functionals along Nehari manifold trajectories ⋮ Serrin-type theorems for triangles ⋮ Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains ⋮ A duality theory for non-convex problems in the calculus of variations ⋮ Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains ⋮ An abstract Lagrangian framework for computing shape derivatives ⋮ On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
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