Optimization methods
|
Date |
28/02/2007 |
|
Author |
1T. V.
Tran, 2D. Echeverria, 2D.
Lahaye 1S.
Brisset, 1P. Brochet |
|
Affiliation |
1L2EP
– EC Lille – France; 2CWI – |
|
Email |
1tran.tuan-vu@ec-lille.fr, 2D.Echeverria@cwi.nl, 2Domenico.Lahaye@cwi.nl, 1stephane.brisset@ec-lille.fr, 1pascal.brochet@ec-lille.fr |
|
Method |
Manifold-Mapping
technique |
|
References |
[1]
D. Echeverria and P.W. Hemker, “Space Mapping and Defect Correction” Comp.
Methods in Appl. Math., 5(2):107{136, 2005. [2] D. Echeverria, D. Lahaye, L. Encica, E.A. Lomonova,
P.W. Hemker, and A.J.A. Vandenput. “Manifold-Mapping Optimization Applied to
Linear Actuator Design” IEEE
Transactions on Magnetics, 42(2):1183{1186, 2006. [3] D.
Echeverria, “Two new variants of the Manifold-Mapping Technique” presented at the conference OIPE 2006,
Sept. 2006, Sorrento, Italy. |
|
Description of the method |
Manifold-mapping
is an efficient surrogate-based optimization technique aimed at the
acceleration of very time-consuming design problems. The
manifold-mapping concept introduces an alternative correction of the coarse
model. Unlike the space-mapping function, it is very straightforward to
compute and the associated manifold-mapping algorithm can be proven to
converge to the true optimum (Echeverria and Hemker, 2006). The
manifold-mapping algorithm has been reported as an efficient optimization
technique in problems of practical relevance. |
|
Publication of the method |
[1]
D. Echeverria and P.W. Hemker, “Space Mapping and Defect Correction” Comp.
Methods in Appl. Math., 5(2):107{136, 2005. |