A recovered gradient method applied to smooth optimal shape problems

DOI10.21136/AM.1996.134327zbMath0870.65050OpenAlexW37198093MaRDI QIDQ1363449

Jan Chleboun, Ivan Hlaváček

Publication date: 7 August 1997

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

Full work available at URL: https://eudml.org/doc/32951

zbMATH Keywords

sensitivity analysissuperconvergenceshape optimizationrecovered gradient

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Methods of reduced gradient type (90C52)

Related Items (1)

The method of arbitrary lines in optimal shape design: Problems with an elliptic state equation

Cites Work

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• On superconvergence techniques
• Design sensitivity analysis of structural systems
• On the numerical solution of axisymmetric domain optimization problems
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• Boundary flux estimates for elliptic problems by the perturbed variational method
• A practical guide to splines
• Superconvergence analysis of approximate boundary-flux calculations
• Shape optimization by means of the penalty method with extrapolation
• How to recover the gradient of linear elements on nonuniform triangulations
• Optimization of the domain in elliptic problems by the dual finite element method
• Superconvergent Recovery of the Gradient from Piecewise Linear Finite-element Approximations
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations

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