lnu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Diffractive Index Determination by Tikhonov Regularization on Forced String Vibration Data
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Signaler och vågor)
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Signaler och vågor)
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Signaler och vågor)
2009 (English)In: Mathematical modelling of wave phenomena: 3rd Conference on Mathematical Modelling of Wave Phenomena, Växjö, Sweden, 9-13 June 2008, Melville, New York: American Institute of Physics , 2009, p. 224-232Conference paper, Published paper (Refereed)
Abstract [en]

Wave analysis is efficient for investigating the interior of objects. Examples are ultra sound examination of humans and radar using elastic and electromagnetic waves. A common procedure is inverse scattering where both transmitters and receivers are located outside the object or on its boundary. A variant is when both transmitters and receivers are located on the scattering object. The canonical model is a finite inhomogeneous string driven by a harmonic point force. The inverse problem for the determination of the diffractive index of the string is studied. This study is a first step to the problem for the determination of the mechanical strength of wooden logs. An inverse scattering theory is formulated incorporating two regularizing strategies. The results of simulations using this theory show that the suggested method works quite well and that the regularization methods based on the couple of spaces (L2; H1 ) could be very useful in such problems.

 

 

Place, publisher, year, edition, pages
Melville, New York: American Institute of Physics , 2009. p. 224-232
Series
AIP Conference Proceedings, ISSN 0094-243X ; 1106
Keyword [en]
string vibrations, Tikhonov regularization, elastic properties, inverse problem
National Category
Computational Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-7403ISBN: 978-0-07354-0643-8 (print)OAI: oai:DiVA.org:vxu-7403DiVA, id: diva2:300768
Conference
3rd Conference on Mathematical Modelling of Wave Phenomena, Växjö, Sweden, 9-13 June 2008
Available from: 2009-03-23 Created: 2009-03-23 Last updated: 2013-08-22Bibliographically approved

Open Access in DiVA

No full text in DiVA

Authority records BETA

Asekritova, IrinaNilsson, BörjeRydström, Sara

Search in DiVA

By author/editor
Asekritova, IrinaNilsson, BörjeRydström, Sara
By organisation
School of Mathematics and Systems Engineering
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 122 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf