Analysis and numerical studies of a problem of shape design
type: Item
instance of: scholarly article
title: Analysis and numerical studies of a problem of shape design
zbMATH Open document ID: 0726.65071
DOI: 10.1007/BF00376139
author: Bernd Kawohl
author: G. Wittum
author: J. Stará
published in: Archive for Rational Mechanics and Analysis
publication date: 1991-01-01T00:00:00Z
review text: The paper deals with the following problem of shape design: (P) minimize \(J(v)=\int_{\Omega}\{g(| \nabla v|)-v\}dx\) on \(W_ 0^{1,2}(\Omega)\), where \(\Omega \subset {\mathbb{R}}^ N\) is a bounded simply connected domain, \(N\geq 2\). The uniqueness for smooth solutions to (P) is studied and some numerical methods are applied to verify certain analytical results.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M27
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 4199503
zbMATH Keywords: multigrid methods
zbMATH Keywords: shape design
zbMATH Keywords: smooth solutions
reviewed by: Florica Luban
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4199503