# An Analytical Study in Multi-physics and Multi-criteria Shape Optimization

@article{Gottschalk2021AnAS, title={An Analytical Study in Multi-physics and Multi-criteria Shape Optimization}, author={H. Gottschalk and M. Reese}, journal={J. Optim. Theory Appl.}, year={2021}, volume={189}, pages={486-512} }

A simple multi-physical system for the potential flow of a fluid through a shroud in which a mechanical component, like a turbine vane, is placed, is modeled mathematically. We then consider a multi criteria shape optimization problem, when the shape of the component is allowed to vary under a certain set of 2nd order Holder continuous differentiable transformations of a baseline shape with boundary of the same continuity class. As objective functions, we consider a simple loss model for the… Expand

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