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.
Editor-in-Chief: Kabanikhin, Sergey I.
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An iterative method for reconstruction of temperature
T. Johansson∗
∗Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK (Visitor). E-mail: amt02tj@maths.leeds.ac.uk
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: 10.1515/156939406777340937,
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