You might also like

More about Shape Optimization Under Uncertainty from a Stochastic Programming Point of View

• Book details
• Synopsis
• Trending among others

You get 125 loyalty points

Book synopsis

Optimization problems are relevant in many areas of technical, industrial, and economic applications. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. Harald Held considers an elastic body subjected to uncertain internal and external forces. Since simply averaging the possible loadings will result in a structure that might not be robust for the individual loadings, he uses techniques from level set based shape optimization and two-stage stochastic programming. Taking advantage of the PDE’s linearity, he is able to compute solutions for an arbitrary number of scenarios without significantly increasing the computational effort. The 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.

Book details

Book category Books in English Mathematics & science Mathematics Probability & statistics

• Full title: Shape Optimization Under Uncertainty from a Stochastic Programming Point of View
• Author: Harald Held
• Language: English
• Binding: Paperback
• Number of pages: 148
• EAN: 9783834809094
• ISBN: 3834809098
• ID: 03621075
• Publisher: Springer Fachmedien Wiesbaden
• Weight: 298 g
• Dimensions: 210 × 148 × 8 mm
• Date of publishing: 28. July 2009

Trending among others

---

---

---