Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-freemultilevel optimization algorithm. The performance of the algorithm is shown on a shapeoptimization problem and global convergence to the Şrst order critical point is proved
Derivative-free optimization multilevel optimization shape optimization trust-region methods
Primary Language | English |
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Journal Section | Research Article |
Authors | |
Publication Date | June 1, 2015 |
Published in Issue | Year 2015 Volume: 5 Issue: 1 |