STABILITY OF SOLUTIONS TO SHAPE ESTIMATION PROBLEMS

Authors
SOKOLOWSKI J
Citation
J. Sokolowski, STABILITY OF SOLUTIONS TO SHAPE ESTIMATION PROBLEMS, Mechanics of structures and machines, 21(1), 1993, pp. 67-94
Citations number
27
Categorie Soggetti
Mechanics
Journal title
Mechanics of structures and machines → ACNP
ISSN journal
08905452
Volume
21
Issue
1
Year of publication
1993
Pages
67 - 94
Database
ISI
SICI code
0890-5452(1993)21:1<67:SOSTSE>2.0.ZU;2-A
Abstract
A method for stability analysis of solutions to shape optimization pro blems is presented. A local solution is given, in the form of a fixed point of a metric projection onto the set of admissible graphs. Result s are derived for a shape optimization problem for a second-order elli ptic equation.