3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization

DOI10.1016/J.CRMA.2012.11.005zbMath1255.49077arXiv1211.2560OpenAlexW1976463443MaRDI QIDQ1931819

Elvira Zappale, Graça Carita

Publication date: 16 January 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2560

zbMATH Keywords

\(\Gamma \)-convergenceperimeter penalization3D-2D dimension reductionnonlinear optimal design problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (6)

A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting ⋮ An optimal design problem with non-standard growth and no concentration effects ⋮ Relaxation for an optimal design problem inBD(Ω) ⋮ Orlicz equi-integrability for scaled gradients ⋮ A \(\Gamma\)-convergence result for optimal design problems ⋮ Relaxation for optimal design problems with non-standard growth

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