3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization
From MaRDI portal
Publication:1931819
DOI10.1016/J.CRMA.2012.11.005zbMath1255.49077arXiv1211.2560OpenAlexW1976463443MaRDI QIDQ1931819
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
\(\Gamma \)-convergenceperimeter penalization3D-2D dimension reductionnonlinear optimal design problem
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
Cites Work
- Unnamed Item
- Unnamed Item
- The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions
- Partial regularity for optimal design problems involving both bulk and surface energies
- An optimal design problem with perimeter penalization
- Regularity of components in optimal design problems with perimeter penalization.
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- 3D-2D analysis for the optimal elastic compliance problem
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
- Regularity in two-dimensional variational problems with perimeter penalties
- Spatial heterogeneity in 3D-2D dimensional reduction
- 3D-2D asymptotic analysis of an optimal design problem for thin films
- Equi-integrability results for 3D-2D dimension reduction problems
- Shape optimization by the homogenization method
This page was built for publication: 3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization
