Contributed Session Wed.3.H 0112

Wednesday, 15:15 - 16:45 h, Room: H 0112

Cluster 16: Nonlinear programming [...]

Applications of optimization II


Chair: Alina Fedossova



Wednesday, 15:15 - 15:40 h, Room: H 0112, Talk 1

Thea Göllner
Geometry optimization of branched sheet metal products

Coauthors: Wolfgang Hess, Stefan Ulbrich


We consider the geometry optimization of branched, and potentially curved, sheet metal products. Such products can be produced continuously and in integral style by using the new technologies linear flow splitting and linear bend splitting, which are explored within the framework of the Collaborative Research Centre (CRC) 666.
The geometry of such sheet metal parts can be parameterized by means of free form surfaces, more specifically, by tensor products of cubic B-splines. The mechanical behaviour is described by the three dimensional linear elasticity equations.
We formulate the associated PDE-constrained problem for optimizing the stiffness of the considered structure.
Then, an algorithm for solving this shape optimization problem with a globalization strategy based on cubic regularization terms is presented. Furthermore, the exact constraints of the problem are used.
We conclude by presenting numerical results.



Wednesday, 15:45 - 16:10 h, Room: H 0112, Talk 2

Alina Fedossova
Modeling of transboundary pollutant displacement for groups of emission sources

Coauthor: Valery Fedosov


Location of emission pollution sources, together with objects or areas that require compliance with environmental norms, often leads to their disruption.
The task of reducing the excess pollution emissions to the optimum is complicated with the presence of wind shifts, which weaken or strengthen the general or local contamination.
One part of the pollution can be controlled to leave the territory, and, on the contrary, it is possible the invasion of pollution plumes from neighboring areas. (transboundary displacements).
Wind shifts incorporated directly into a stochastic semi-infinite optimization algorithm. Environmental objects are represented as a map of zones with arbitrary boundaries. This approach includes the replacement of the original pollution sources with lots of virtual sources with a total capacity equivalent to the initial emissions.
Possible local directions of wind shifts are presented in the form of maps of the streamlines of wind area, accounted later in the numerical experiment.
Objective function of semi-infinite programming minimizes costs of pollution control with wind shifts.


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