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Held H. — Shape Optimization under Uncertainty from a Stochastic Programming Point of View
Held H. — Shape Optimization under Uncertainty from a Stochastic Programming Point of View

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Название: Shape Optimization under Uncertainty from a Stochastic Programming Point of View

Автор: Held H.

Аннотация:

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 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. The stochastic programming perspective also allows incorporating risk measures into the model which might be more appropriate objective in many practical applications.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2009

Количество страниц: 140

Добавлена в каталог: 13.08.2014

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