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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References

SHOWING 1-10 OF 56 REFERENCES
Optimal Reliability for Components under Thermomechanical Cyclic Loading
Shape optimization by the homogenization method
Introduction to shape optimization : shape sensitivity analysis
On Shape Calculus with Elliptic PDE Constraints in Classical Function Spaces.
Isogeometric structural shape optimization
Shapes and Geometries - Metrics, Analysis, Differential Calculus, and Optimization, Second Edition
Isogeometric finite element methods for shape optimization
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