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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Online
ISSN
1569-3945
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Volume 14, Issue 3

Issues

An iterative method for reconstruction of temperature

T. Johansson
  • Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK (Visitor). E-mail:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar

An iterative method for the reconstruction of a stationary three-dimensional temperature field, from Cauchy data given on a part of the boundary, is presented. At each iteration step, a series of mixed well-posed boundary value problems are solved for the heat operator and its adjoint. A convergence proof of this method in a weighted L 2-space is included.

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Published Online:

Published in Print: 2006-05-01


Citation Information: Journal of Inverse and Ill-posed Problems jiip, Volume 14, Issue 3, Pages 267–278, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939406777340937.

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