FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART II: APPLICATION TO THE SOLUTION OF SHAPE OPTIMIZATION PROBLEMS

DOI10.1142/S0218202501000970zbMath1012.65067OpenAlexW1998778581WikidataQ109654983 ScholiaQ109654983MaRDI QIDQ4798875

Laurent Tomas, Jean-François Maitre, Jaroslav Haslinger

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501000970

zbMATH Keywords

numerical example shape optimization fictitious domain method distributed Lagrange multipliers regularization techniques

Mathematics Subject Classification ID

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

Related Items (5)

FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART I: APPLICATION TO THE SOLUTION OF ELLIPTIC STATE PROBLEMS ⋮ A gradient-based shape optimization scheme using an interface-enriched generalized FEM ⋮ Shape optimization with immersed interface finite element method ⋮ \(\mathrm{E(FG)}^2\): a new fixed-grid shape optimization method based on the element-free Galerkin mesh-free analysis: taking large steps in shape optimization ⋮ Analysis of transmission problems on Lipschitz boundaries in stronger norms

Cites Work

FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART I: APPLICATION TO THE SOLUTION OF ELLIPTIC STATE PROBLEMS

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