Using Self-adjoint Extensions in Shape Optimization

DOI10.1007/978-3-642-04802-9_19zbMath1189.35065OpenAlexW1522327077MaRDI QIDQ3557821

Katarzyna Szulc, Antoine Laurain

Publication date: 23 April 2010

Published in: IFIP Advances in Information and Communication Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04802-9_19

zbMATH Keywords

perturbationasymptotic expansionLaplacianself-adjoint extensionsmall hole

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) Second-order elliptic equations (35J15) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for higher-order elliptic equations (35J35) Topological and monotonicity methods applied to PDEs (35A16)

Cites Work

• Self-adjoint extensions of differential operators in application to shape optimization
• Asymptotic analysis of shape functionals
• Variation and optimization of formes. A geometric analysis
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• On the Topological Derivative in Shape Optimization
• Optimality Conditions for Simultaneous Topology and Shape Optimization
• Selfadjoint Extensions for the Elasticity System in Shape Optimization
• Shape optimization by the homogenization method
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