Asymptotical compliance optimization for connected networks

DOI10.3934/nhm.2007.2.761zbMath1223.49017OpenAlexW2013842355MaRDI QIDQ932974

Filippo Santambrogio, Giusseppe Buttazzo

Publication date: 21 July 2008

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2007.2.761

zbMATH Keywords

shape optimization\(\Gamma\)-convergence

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05)

Related Items (13)

On the importance of the connectedness assumption in the statement of the optimal \(p\)-compliance problem ⋮ Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ Upscaling of screw dislocations with increasing tangential strain ⋮ On the sharp effect of attaching a thin handle on the spectral rate of convergence ⋮ Constant in two-dimensional \(p\)-compliance-network problem ⋮ Regularity for the Optimal Compliance Problem with Length Penalization ⋮ A presentation of the average distance minimizing problem ⋮ Partial regularity for the optimal \(p\)-compliance problem with length penalization ⋮ Regularity for the planar optimalp-compliance problem ⋮ Approximation of Length Minimization Problems Among Compact Connected Sets ⋮ Where Best to Place a Dirichlet Condition in an Anisotropic Membrane? ⋮ Harmonic functions in union of chambers ⋮ A selective review on Mumford-Shah minimizers

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