A posteriori modeling error estimates in the optimization of two-scale elastic composite materials

DOI10.1051/M2AN/2017004zbMath1456.65159arXiv1511.04329OpenAlexW2962804881MaRDI QIDQ4613917

Martin Rumpf, Benedict Geihe, Martin O. Lenz, Sergio Conti

Publication date: 25 January 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04329

zbMATH Keywords

homogenizationa posteriori error estimatesadaptive mesheselastic shape optimizationnested laminatestwo-scale optimization

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Composite and mixture properties (74E30) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary element methods for boundary value problems involving PDEs (65N38)

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