A comparison of numerical methods for optimal shape design problems

DOI10.1080/10556789908805726zbMath0933.49028OpenAlexW1984542648MaRDI QIDQ4242975

M. Laumen

Publication date: 1 February 2000

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556789908805726

zbMATH Keywords

gradient methodquasi-Newton methodsnested iterationoptimal shape design problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Optimization of shapes other than minimal surfaces (49Q10) Methods of reduced gradient type (90C52)

Cites Work

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• Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints
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• Multilevel Filtering Elliptic Preconditioners
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• Solution of Sparse Indefinite Systems of Linear Equations
• On the Goldstein-Levitin-Polyak gradient projection method
• Newton's Mesh Independence Principle for a Class Of Optimal Shape Design Problems
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