On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable
type: Item
instance of: scholarly article
title: On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable
zbMATH Open document ID: 1301.49117
author: Karl Kunisch
author: H. Kasumba
published in: Journal of Optimization Theory and Applications
publication date: 2014-10-23T00:00:00Z
full work available at URL: s10957-013-0520-4
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35Q93
zbMATH DE Number: 6360648
zbMATH Keywords: shape optimization
zbMATH Keywords: shape derivative
zbMATH Keywords: shape Hessian
zbMATH Keywords: cost functional
MaRDI profile type: Publication
OpenAlex ID: W2055465720
cites work: Q4035001
cites work: Shape optimization and trial methods for free boundary problems
cites work: Levenberg–Marquardt level set methods for inverse obstacle problems
cites work: Anatomy of the shape Hessian
cites work: Q3032898
cites work: Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
cites work: Variational approach to shape derivatives
cites work: Shapes and geometries. Analysis, differential calculus, and optimization
cites work: Introduction to Shape Optimization
cites work: Q4000354
cites work: Compressible Navier-Stokes Equations
cites work: Variational approach to shape derivatives for a class of Bernoulli problems
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: On the shape derivative for problems of Bernoulli type
cites work: Q4399897
cites work: Modelling and control in solid mechanics
cites work: Anatomy of the shape Hessian via Lie brackets
DOI: 10.1007/S10957-013-0520-4
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description: scientific article; zbMATH DE number 6360648