A semismooth Newton method for topology optimization

DOI10.1016/j.na.2010.04.065zbMath1201.49029OpenAlexW1986101697MaRDI QIDQ988806

Samuel Amstutz

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.065

zbMATH Keywords

topology optimizationtopological derivativesemismooth Newton methodtopological sensitivity

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (4)

A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints ⋮ Total variation regularization of multi-material topology optimization ⋮ A convex analysis approach to multi-material topology optimization ⋮ Topological sensitivity analysis for elliptic differential operators of order \(2{m}\)

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