Computing and Visualization in Science

, Volume 2, Issue 2–3, pp 149–152 | Cite as

Accuracy of a domain decomposition method for the recovering of discontinuous heat sources in metal sheet cutting

  • C.-H. Lai
  • C.S. Ierotheou
  • C.J. Palansuriya
  • K.A. Pericleous
  • M.S. Espedal
  • X.-C. Tai
Regular article

Abstract.

This paper describes a method for the retrieval of discontinuous heat sources involved in a metal cutting process. Two smoothing techniques were used in the present study in order to smooth noisy sensor data recorded by temperature sensors. The two smoothing techniques are a least squares polynomial fit and a Lagrangian smoothing. These data are then used to recover the heat source. It is found that the least squares polynomial provides over-smoothed results and the Lagrangian smoothing produces phyically acceptable results of the retrieved heat source.

Key words: Smoothing – Inverse problems – Metal sheet cutting – Domain decomposition methods 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • C.-H. Lai
    • 1
  • C.S. Ierotheou
    • 1
  • C.J. Palansuriya
    • 1
  • K.A. Pericleous
    • 1
  • M.S. Espedal
    • 2
  • X.-C. Tai
    • 2
  1. 1.School of Computing and Mathematical Sciences, University of Greenwich, 30 Park Row, London SE10 9LS, U.K. E-mail: C.H.Lai@gre.ac.ukUK
  2. 2.Matematisk Institutt, Universitetet i Bergen, Johannes Brunsgt 12, 5008 Bergen, NorwayNO

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