Optimality conditions and Lagrange multipliers for shape and topology optimization problems

DOI10.1478/AAPP.1011A9MaRDI QIDQ6646821

Dan Tiba

Publication date: 3 December 2024

Published in: Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali (Search for Journal in Brave)

zbMATH Keywords

optimality conditionsNeumann boundary conditionsgeometric optimization problems

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Cites Work

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• Shapes and Geometries
• Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint
• Convexity and Optimization in Banach Spaces
• Fixed domain approaches in shape optimization problems
• Optimization of Elliptic Systems
• Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions
• General Optimality Conditions for Constrained Convex Control Problems
• Implicit parametrizations in shape optimization: boundary observation
• From Differential Calculus to 0‐1 Topological Optimization

Related Items (1)

Some properties of the period for certain ordinary differential systems and applications to topology optimization of variational inequalities

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