A domain optimization problem with boundary penalty cost functional

DOI10.1016/j.jmaa.2004.07.042zbMath1176.49046OpenAlexW2059156360MaRDI QIDQ705304

Hang Gao, Yajun Li

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.042

zbMATH Keywords

ExistenceBoundary penaltyCost functionalDomain optimizationNecessary condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Optimization of shapes other than minimal surfaces (49Q10)

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Cites Work

• Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
• Necessary conditions for a domain optimization problem with various constraints
• Necessary Conditions for a Domain Optimization Problem in Elliptic Boundary Value Problems
• A Relaxation Approach Applied to Domain Optimization
• Existence of an Optimal Solution of a Shape Control Problem for the Stationary Navier--Stokes Equations
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