scholarly journals Space Mapping and Defect Correction

Author(s):  
David Echeverría ◽  
Domenico Lahaye ◽  
Piet W. Hemker
2005 ◽  
Vol 5 (2) ◽  
pp. 107-136 ◽  
Author(s):  
D. Echeverrĭa ◽  
P. W. Hemker

Abstract In this paper we show that space-mapping optimization can be understood in the framework of defect correction. Then, space-mapping algorithms can be seen as special cases of defect correction iteration. In order to analyze the properties of space mapping and the space-mapping function, we introduce the new concept of flexibility of the underlying models. The best space-mapping results are obtained for so-called equally flexible models. By introducing an a±ne operator as a left preconditioner, two models can be made equally flexible, at least in the neighborhood of a solution. This motivates an improved space-mapping (or manifold-mapping) algorithm. The left preconditioner complements traditional space mapping where only a right preconditioner is used. In the last section a few simple examples illustrate some of the phenomena analyzed in this paper.


2018 ◽  
Vol 189 (02) ◽  
pp. 187-194 ◽  
Author(s):  
Nikita V. Marchenkov ◽  
Anton G. Kulikov ◽  
Ivan I. Atknin ◽  
Arsen A. Petrenko ◽  
Alexander E. Blagov ◽  
...  

Author(s):  
Fan Jiang ◽  
Zhen Zhang ◽  
Qingsha S. Cheng ◽  
Shanpu Shen ◽  
Chi-Yuk Chiu ◽  
...  

2021 ◽  
Vol 93 (17) ◽  
pp. 6889-6894
Author(s):  
Noor Hidayat Abu Bakar ◽  
Kai-Chiang Yu ◽  
Pawel L. Urban

2010 ◽  
Vol 25 (2) ◽  
pp. 218-218
Author(s):  
A. Ulyanenkov ◽  
F. Rinaldi ◽  
S. Menzel ◽  
A. Benediktovich ◽  
A. Zhilik ◽  
...  

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