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

DOI10.1016/S0045-7825(98)00065-6zbMath0935.65069MaRDI QIDQ1299254

Jan Chleboun, Leonidas S. Xanthis

Publication date: 4 May 2000

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

zbMATH Keywords

convergencenumerical examplesfinite element methodsoptimal shape designboundary integralsBézier curveshape design sensitivity analysismaterial derivative methodmethod of arbitrary lines

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

`Les fleurs du mal'. II: A dynamically adaptive wavelet method of arbitrary lines for nonlinear evolutionary problems-capturing steep moving fronts

Uses Software

• nag

Cites Work

• Design sensitivity analysis of structural systems
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• Shape optimization by means of the penalty method with extrapolation
• A recovered gradient method applied to smooth optimal shape problems
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Optimization of the domain in elliptic problems by the dual finite element method
• On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item