Asymptotical compliance optimization for connected networks
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Publication:932974
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
Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05)
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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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