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Research Article
Criteria of optimality for sensors' location based on adjoint transformation of observation data interpolation error
Article first published online: 24 FEB 2009
DOI: 10.1002/fld.2015
Copyright © 2009 John Wiley & Sons, Ltd.
Issue
1097-0363/asset/cover.gif?v=1&s=4f4c032b9f06da7e1e8ac4e112013c5bf916f2e7 "International Journal for Numerical Methods in Fluids")
International Journal for Numerical Methods in Fluids
Volume 62, Issue 1, pages 74–89, 10 January 2010
Additional Information
How to Cite
Alekseev, A. K. and Navon, I. M. (2010), Criteria of optimality for sensors' location based on adjoint transformation of observation data interpolation error. International Journal for Numerical Methods in Fluids, 62: 74–89. doi: 10.1002/fld.2015
Publication History
- Issue published online: 27 NOV 2009
- Article first published online: 24 FEB 2009
- Manuscript Revised: 16 JAN 2009
- Manuscript Accepted: 16 JAN 2009
- Manuscript Received: 29 OCT 2008
- Abstract
- References
- Cited By
Keywords:
- sensor location;
- targeting;
- error norms;
- adjoint methods;
- sensitivity;
- sensor set modification
Abstract
Criteria of optimality for sensors' location are addressed using an interpolation error transformed by especial adjoint problems. The considered criteria correspond to the analysis error in certain Hessian-based metrics and to the error of some forecast aspect. Both criteria are obtained using adjoint problems that provide computation without the direct use of the Hessian. For a linear inverse heat conduction problem, these criteria are compared and demonstrated promising results when compared with a criterion based on the norm of the interpolation error of observation data. Approaches to sensor set modification using either redistribution of sensors' or refinement of the sensors grid (insertion of additional sensors) are also compared. Copyright © 2009 John Wiley & Sons, Ltd.