Shape optimization approach for solving the Bernoulli problem by tracking the Neumann data: a Lagrangian formulation
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Publication:1660081
DOI10.3934/cpaa.2018127zbMath1394.35586OpenAlexW2805957917WikidataQ129687677 ScholiaQ129687677MaRDI QIDQ1660081
Julius Fergy T. Rabago, Jerico B. Bacani
Publication date: 23 August 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018127
Optimality conditions for problems involving partial differential equations (49K20) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
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Cites Work
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- Shape optimization of continua using NURBS as basis functions
- Shape optimization for a link mechanism
- A Dirichlet-Neumann cost functional approach for the Bernoulli problem
- On a Kohn-Vogelius like formulation of free boundary problems
- On the shape derivative for problems of Bernoulli type
- Shape gradient of the dissipated energy functional in shape optimization for the viscous incompressible flow
- Tracking Dirichlet data in \(L^2\) is an ill-posed problem
- On the existence of a solution in a domain identification problem
- Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
- An embedding domain approach for a class of 2-d shape optimization problems: Mathematical analysis.
- On the first-order shape derivative of the Kohn-Vogelius cost functional of the Bernoulli problem
- Sensitivity analysis for some inverse problems in linear elasticity via minimax differentiability
- Shape sensitivity analysis for an interface problem via minimax differentiability
- Shape and parameter reconstruction for the Robin transmission inverse problem
- Variational approach to shape derivatives for a class of Bernoulli problems
- Shape Optimization for Free Boundary Problems – Analysis and Numerics
- Stability analysis in the inverse Robin transmission problem
- A SMOOTHING METHOD FOR SHAPE OPTIMIZATION: TRACTION METHOD USING THE ROBIN CONDITION
- Shapes and Geometries
- Tracking Neumann Data for Stationary Free Boundary Problems
- Directional derivative of a minimax function
- Variational approach to shape derivatives
- Shape Hessian for generalized Oseen flow by differentiability of a minimax: A Lagrangian approach
- Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
- Shape Sensitivity Analysis via Min Max Differentiability
- Three-dimensional shape optimization
- Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
- New development in freefem++
- Shape optimization approaches to free‐surface problems
- Convexity of free boundaries with bernoulli type boundary condition
- Sobolev gradients and differential equations