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

Autor:	Jean-François Maitre, Jaroslav Haslinger, Laurent Tomas
Rok vydání:	2001
Předmět:	Mathematical optimization Fictitious domain method Applied Mathematics Computation Frame (networking) State (functional analysis) Regularization (mathematics) Constraint algorithm symbols.namesake Modeling and Simulation Lagrange multiplier symbols Shape optimization Mathematics
Zdroj:	Mathematical Models and Methods in Applied Sciences. 11:549-563
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202501000970
Popis:	The distributed Lagrange multipliers based fictitious domain method for the numerical computation of state problems presented in Part I is now used in the frame of shape optimization. Practical aspects of this approach are discussed. In general it is shown that the resulting minimization problem is nonsmooth, due to the locking effect. Two possible regularization techniques are described and the results of one numerical example is shown.
Databáze:	OpenAIRE
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