- Manifold mapping: a two-level optimization technique
- Computing and Visualization in Science
- Volume | Issue number
- 11 | 4-6
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
In this paper, we analyze in some detail the manifold-mapping optimization technique introduced recently [Echeverría and Hemker in space mapping and defect correction. Comput Methods Appl Math 5(2): 107--136, 2005]. Manifold mapping aims at accelerating
optimal design procedures that otherwise require many evaluations of time-expensive cost functions.We give a proof of convergence for the manifold-mapping iteration. By means of two simple optimization problemswe illustrate the convergence results derived. Finally, the performances of several variants of the method are compared for some design problems from electromagnetics.
- go to publisher's site
If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library, or send a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible.