Shape optimization by means of the penalty method with extrapolation
type: Item
instance of: scholarly article
title: Shape optimization by means of the penalty method with extrapolation
zbMATH Open document ID: 0826.65056
author: I. Hlaváček
published in: Applications of Mathematics
publication date: 1995-03-13T00:00:00Z
full work available at URL: https://eudml.org/doc/32897
review text: Model state problems described by a Poisson equation in a bounded two- dimensional domain with homogeneous Dirichlet boundary condition are considered. The optimal shape design problem is defined by two frequently used cost functionals. Error estimates are derived. It is shown that the rate of convergence of the penalty method can be increased by means of an extrapolation. The existence of a solution to the approximate optimization problem is discussed and a convergence theorem is proved.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 733208
zbMATH Keywords: finite elements
zbMATH Keywords: error estimates
zbMATH Keywords: Poisson equation
zbMATH Keywords: optimal shape design
zbMATH Keywords: cost functionals
zbMATH Keywords: convergence
zbMATH Keywords: penalty method
zbMATH Keywords: extrapolation
MaRDI profile type: Publication
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OpenAlex ID: W2603776658
DOI: 10.21136/AM.1994.134271
description: scientific article; zbMATH DE number 733208