Improvements on objective and constrain functions in domain optimization

DOI10.1016/S0045-7825(98)00019-XzbMath0962.74047MaRDI QIDQ1971451

L. Holzleitner

Publication date: 21 June 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

convergenceplane stressshape optimizationlinearized elasticitysequential quadratic programming algorithmgradient calculationfinite element package MSC/NASTRANpiecewise constant thickness

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10)

Uses Software

• NASTRAN

Cites Work

• Variational approach by means of adjoint systems to structural optimization and sensitivity analysis. II. Structure shape variation
• Design sensitivity analysis of structural systems
• Zur Methode der finiten Elemente
• Structure of shape derivatives for nonsmooth domains
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• \(N\)-dimensional shape optimization under capacitary constraint
• On the convergence of a sequential quadratic programming method with an augmented lagrangian line search function
• Optimum structural design using MSC/NASTRAN and sequential quadratic programming
• Optimization of the domain in elliptic unilateral boundary value problems by finite element method
• Solving nonlinear programming problems with very many constraints
• On the existence of optimal shapes in contact problems
• Equivalent Norms for Sobolev Spaces
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