Asymptotic models for the topological sensitivity of the energy functional

DOI10.1016/j.aml.2007.12.029zbMath1163.35332OpenAlexW2073706334MaRDI QIDQ1027458

Ivan I. Argatov

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.12.029

zbMATH Keywords

topological derivativeasymptotic modelstopological sensitivity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Asymptotic expansions of solutions to PDEs (35C20) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (1)

Augmented Lagrangian for cone constrained topology optimization

Cites Work

• Unnamed Item
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Self-adjoint extensions of differential operators in application to shape optimization
• Asymptotic analysis of shape functionals
• The shape and topological optimizations' connection
• Self-adjoint extensions for the Neumann Laplacian and applications
• On some recent advances in shape optimization
• ANALYSIS AND IMPROVEMENT OF PERTURBATION SERIES
• A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE
• On the Topological Derivative in Shape Optimization
• Optimality Conditions for Simultaneous Topology and Shape Optimization
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Refinement of the asymptotic solution obtained by the method of matched expansions in the contact problem of elasticity theory

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