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DERIVATIVE FREE MULTILEVEL OPTIMIZATION

2015-01-01
Karasözen, Bülent
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to the first order critical point is proved.
Derivative, Free optimization, Multilevel, Shape, Trust, Region, Nonlinear, Curvature, Methods
https://hdl.handle.net/11511/56133

Graduate School of Applied Mathematics, Article
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