Shape Optimization under Uncertainty from a Stochastic Programming Point of View

2009
ISBN: 978-3-8348-0909-4
Verlag: Vieweg+Teubner Verlag

Buch, Englisch, 148 Seiten, Paperback, Format (B × H): 148 mm x 210 mm, Gewicht: 225 g

Reihe: Stochastic Programming

he author applies a gradient method using the shape derivative and the topological gradient to minimize, e.g., the compliance and shows that the obtained solutions strongly depend on the initial guess, in particular its topology. The stochastic programming perspective also allows incorporating risk measures into the model which might be a more appropriate objective in many practical applications.

Zielgruppe

Researchers and practitioners working in stochastic programming and shape optimization

Autoren/Hrsg.

Held, Harald

Fachgebiete

• Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

Solution of the Elasticity PDE.- Stochastic Programming Perspective.- Solving Shape Optimization Problems.- Numerical Results.

Über Autor(innen)

Held, Harald
Dr. Harald Held completed his doctoral thesis at the Department of Mathematics at the University of Duisburg-Essen. He is now a Research Scientist at Siemens AG, Corporate Technology.