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Shape Optimization Under Uncertainty from a Stochastic Programming Point of View
Harald Held
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Description for Shape Optimization Under Uncertainty from a Stochastic Programming Point of View
Paperback. Series: Stochastic Programming. Num Pages: 148 pages, 13 black & white illustrations, 26 colour illustrations, biography. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 210 x 148 x 8. Weight in Grams: 298.
Optimization problems whose constraints involve partial differential equations (PDEs) are relevant in many areas of technical, industrial, and economic app- cations. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. The present text is among the ?rst in the research literature addressing stochastic uncertainty in the context of PDE constrained optimization. The focus is on shape optimization for elastic bodies under stochastic loading. Analogies to ?nite dim- sional two-stage stochastic programming drive the treatment, with shapes taking the role of nonanticipative decisions.The main results concern level set-based s- chastic shape optimization with gradient methods ... Read more
Optimization problems whose constraints involve partial differential equations (PDEs) are relevant in many areas of technical, industrial, and economic app- cations. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. The present text is among the ?rst in the research literature addressing stochastic uncertainty in the context of PDE constrained optimization. The focus is on shape optimization for elastic bodies under stochastic loading. Analogies to ?nite dim- sional two-stage stochastic programming drive the treatment, with shapes taking the role of nonanticipative decisions.The main results concern level set-based s- chastic shape optimization with gradient methods ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Springer Fachmedien Wiesbaden Germany
Number of pages
148
Condition
New
Series
Stochastic Programming
Number of Pages
148
Place of Publication
Weisbaden, Germany
ISBN
9783834809094
SKU
V9783834809094
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Harald Held
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.
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