On the numerical solution of axisymmetric domain optimization problems

DOI10.21136/am.1991.104467zbMath0745.65044OpenAlexW3047872633MaRDI QIDQ1182074

Raino A. E. Mäkinen, Ivan Hlaváček

Publication date: 27 June 1992

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15680

zbMATH Keywords

convergencefinite elementsnumerical examplesshape optimizationcost functionalspiecewise linear approximationsaxisymmetric second order elliptic problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15)

Related Items (7)

A recovered gradient method applied to smooth optimal shape problems ⋮ Shape optimization in 2D contact problems with given friction and a solution-dependent coefficient of friction ⋮ Shape optimization for Stokes problem with threshold slip. ⋮ Shape optimization of elasto-plastic axisymmetric bodies ⋮ Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• NPSOL

Cites Work

• Unnamed Item
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• Shape optimization of elastic axisymmetric bodies
• Finite-element design sensitivity analysis for non-linear potential problems
• Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method
• Geometric sensitivity analysis with isoparametric finite elements

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