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Optimal shape design for elliptic systems

https://doi.org/10.1007/bfb0006123
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Une Methode D’optimisation de Forme de Domaine
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Optimal Control of Systems Governed by Partial Differential Equations
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Application de la m�thode des �l�ments finis � l'approximation d'un probl�me de domaine optimal. M�thodes de r�solution des probl�mes approch�s
inferredcites →https://doi.org/10.1007/bf02575843openalex-snapshot
Quelques resultats sur l'identification de domaines
inferredcites →https://doi.org/10.1007/bfb0063626openalex-snapshot
Numerical methods for free surface problems by means of penalty
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On the existence of a solution in a domain identification problem
inferredcites →https://doi.org/10.1016/0045-7825(78)90045-2openalex-snapshot
Optimum design with lagrangian finite elements: Design of an electromagnet
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On the Approximate Solution of Free Boundary Problems Using Finite Differences

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Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions I
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A Characteristic Finite Element Method for Constrained Convection-Diffusion-Reaction Optimal Control Problems
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Physical-Informed Neural Networks (PINNs) for Solving Shape Optimization Problems
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Nonlinear Variational Inequalities in PDE-Constrained Optimization
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Necessary and Sufficient Condition of Existence for the Quadrature Surfaces Free Boundary Problem
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A PARABOLIC SHAPE OPTIMIZATION PROBLEM
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On shape stability of Dirichlet optimal control problems in coefficients for nonlinear elliptic equations
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Nonstandard growth optimization problems with volume constraint
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Topology Optimization of Fluid Mechanics Problems
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Image Restoration via Topological Derivative
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Shape optimization using a level set based mesh evolution method: an overview and tutorial
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Parallel reverse time integration and reduced order models
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The topological ligament in shape optimization: a connection with thin tubular inhomogeneities
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Multi-criterion shape optimization of a non-linear complex structure
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Optimisation topologique d'écoulements turbulents et application à la ventilation des bâtiments
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TRANSITION FROM 2D CONTINUOUS ADJOINT LEVEL SET TOPOLOGY TO SHAPE OPTIMIZATION
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THE THINK DISCRETE-DO CONTINUOUS ADJOINT IN AERODYNAMIC SHAPE OPTIMIZATION
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