An inexact [ell] sub(1) penalty SQP algorithm for PDE-constrained optimization with an application to shape optimization in linear elasticity

We develop an optimization algorithm which is able to deal with inexact evaluations of the objective function. The proposed algorithm employs sequential quadratic programming with a line search that uses the [ell] sub(1) penalty function for an Armijo-like condition. Both the objective gradient comp...

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Bibliographic Details

Published in:	Optimization methods & software Vol. 28; no. 5; pp. 943 - 968
Main Authors:	Hess, Wolfgang, Ulbrich, Stefan
Format:	Journal Article
Language:	English
Published:	01.10.2013
Subjects:	Algorithms Iterative methods Mathematical analysis Mathematical models Optimization Partial differential equations Searching Shape optimization Solvers
ISSN:	1055-6788, 1029-4937
Online Access:	Get full text
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