liu.seSearch for publications in DiVA
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Sequential solution of the sideways heat equation by windowing of the data
Linköpings universitet, Tekniska högskolan. Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap.
2003 (engelsk)Inngår i: Inverse Problems in Engineering, ISSN 1068-2767, E-ISSN 1029-0281, Vol. 11, nr 2, s. 91-103Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The sideways heat equation is a one-dimensional model of a problem, where one wants to determine the temperature on the surface of a body using interior measurements. More precisely, we consider a heat conduction problem, where temperature and heat-flux data are available along the line x = 1 and the solution is sought in the interval 0 = x < 1. The problem is ill-posed in the sense that the solution does not depend continuously on the data. Stability can be restored by replacing the time derivative in the heat equation with a bounded spectral approximation. The cut off level in the spectral approximation acts as a regularization parameter, that controls the degree of smoothness in the solution. In certain applications one wants to solve the sideways heat equation in real time, i.e. to constantly update the solution as new measurements are recorded. For this case sequential solution methods are required.

sted, utgiver, år, opplag, sider
2003. Vol. 11, nr 2, s. 91-103
Emneord [en]
Ill-posed, Sequential method, Sideways heat equation
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-46683DOI: 10.1080/1068276021000048564OAI: oai:DiVA.org:liu-46683DiVA, id: diva2:267579
Tilgjengelig fra: 2009-10-11 Laget: 2009-10-11 Sist oppdatert: 2017-12-13

Open Access i DiVA

fulltext(643 kB)962 nedlastinger
Filinformasjon
Fil FULLTEXT01.pdfFilstørrelse 643 kBChecksum SHA-512
4f956e6bd24eadd02c04fcd8a567f2a57736e6e93ce7479b178793f943b0a1be93ed30c292febb0a8ec7b6bdfa50d40ca3e7e9a0239418155fc3c4f59c672325
Type fulltextMimetype application/pdf

Andre lenker

Forlagets fulltekst

Personposter BETA

Berntsson, Fredrik

Søk i DiVA

Av forfatter/redaktør
Berntsson, Fredrik
Av organisasjonen
I samme tidsskrift
Inverse Problems in Engineering

Søk utenfor DiVA

GoogleGoogle Scholar
Totalt: 962 nedlastinger
Antall nedlastinger er summen av alle nedlastinger av alle fulltekster. Det kan for eksempel være tidligere versjoner som er ikke lenger tilgjengelige

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 503 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf