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An iterative method for reconstruction of temperature

  • T. Johansson
Published/Copyright: 2006
Journal of Inverse and Ill-posed Problems
From the journal Volume 14 Issue 3

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 L2-space is included.

Published Online: --
Published in Print: 2006-05-01

Copyright 2006, Walter de Gruyter

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