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Convergence analysis of two-level response and parameter mapping-based methods

Guillaume Crevecoeur UGent (2012) INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. 20(1). p.105-115
abstract
Space mapping-based methodologies for optimization and inverse problems in low-and high-frequency electromagnetic applications are well-established. This methodology uses one or multiple low-fidelity models and a high-fidelity model. The objective is to shift the optimization or inverse problem that is carried out within the high-fidelity forward model to a space mapped coarse model, which acts as surrogate model. Convergence problems however may occur since convergence rates depend on the fidelity of the coarse model(s) compared to the fine model. The recently proposed two-level response and parameter mapping (RPM) method, which employs input and output mapping, shows some improved convergence properties. This article proposes a mathematical framework for determining the robustness of this RPM methodology. We express accuracy and speed up of the RPM-based procedures through the use of four different quality measures.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
optimization, convergence conditions, space mapping, inverse problems, response and parameter mapping, OPTIMIZATION, accuracy
journal title
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
Inverse Probl. Sci. Eng.
volume
20
issue
1
pages
105 - 115
Web of Science type
Article
Web of Science id
000302054600009
JCR category
ENGINEERING, MULTIDISCIPLINARY
JCR impact factor
0.754 (2012)
JCR rank
42/88 (2012)
JCR quartile
2 (2012)
ISSN
1741-5977
DOI
10.1080/17415977.2011.624623
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2116208
handle
http://hdl.handle.net/1854/LU-2116208
date created
2012-05-25 21:17:03
date last changed
2012-06-11 11:30:13
@article{2116208,
  abstract     = {Space mapping-based methodologies for optimization and inverse problems in low-and high-frequency electromagnetic applications are well-established. This methodology uses one or multiple low-fidelity models and a high-fidelity model. The objective is to shift the optimization or inverse problem that is carried out within the high-fidelity forward model to a space mapped coarse model, which acts as surrogate model. Convergence problems however may occur since convergence rates depend on the fidelity of the coarse model(s) compared to the fine model. The recently proposed two-level response and parameter mapping (RPM) method, which employs input and output mapping, shows some improved convergence properties. This article proposes a mathematical framework for determining the robustness of this RPM methodology. We express accuracy and speed up of the RPM-based procedures through the use of four different quality measures.},
  author       = {Crevecoeur, Guillaume},
  issn         = {1741-5977},
  journal      = {INVERSE PROBLEMS IN SCIENCE AND ENGINEERING},
  keyword      = {optimization,convergence conditions,space mapping,inverse problems,response and parameter mapping,OPTIMIZATION,accuracy},
  language     = {eng},
  number       = {1},
  pages        = {105--115},
  title        = {Convergence analysis of two-level response and parameter mapping-based methods},
  url          = {http://dx.doi.org/10.1080/17415977.2011.624623},
  volume       = {20},
  year         = {2012},
}

Chicago
Crevecoeur, Guillaume. 2012. “Convergence Analysis of Two-level Response and Parameter Mapping-based Methods.” Inverse Problems in Science and Engineering 20 (1): 105–115.
APA
Crevecoeur, G. (2012). Convergence analysis of two-level response and parameter mapping-based methods. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 20(1), 105–115.
Vancouver
1.
Crevecoeur G. Convergence analysis of two-level response and parameter mapping-based methods. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. 2012;20(1):105–15.
MLA
Crevecoeur, Guillaume. “Convergence Analysis of Two-level Response and Parameter Mapping-based Methods.” INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 20.1 (2012): 105–115. Print.