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Guaranteed estimation of solutions to transmission problems for Helmholtz equation with uncertain data from their indirect noisy observations
Taras Shevchenko National University, Kyiv, Ukraine.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.
2016 (English)In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE conference proceedings, 2016, 93-95 p.Conference paper, Published paper (Refereed)
Abstract [en]

We investigate the estimation problems of linear functionals from solutions to transmission problems for Helmholtz equation with inexact data. The right-hand sides of equations entering the statements of transmission problems and the statistical characteristics of observations errors are supposed to be unknown and belonging to the certain sets. It is shown that the linear mean square estimates of the above-mentioned functionals and estimation errors are expressed via solutions to the systems of transmission problems of the special type.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2016. 93-95 p.
Series
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
Keyword [en]
Electric fields, Estimation errors; Estimation problem; Guaranteed estimation; Linear functionals; Noisy observations; Right-hand sides; Statistical characteristics; Transmission problem, Helmholtz equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-22705DOI: 10.1109/URSI-EMTS.2016.7571321ISI: 000389770800027Scopus ID: 2-s2.0-84992125254ISBN: 978-1-5090-2502-2 (print)ISBN: 978-1-5090-2503-9 (print)OAI: oai:DiVA.org:hig-22705DiVA: diva2:1045046
Conference
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 14-18 August 2016, Espoo, Finland
Note

Available through IEEE Xplore digital library : Conference Publications.

Available from: 2016-11-08 Created: 2016-11-08 Last updated: 2017-01-10Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf