Abstract
An iterative procedure is proposed for the reconstruction of a stationary temperature field from Cauchy data given on a part of the boundary of a bounded plane domain where the boundary is smooth except for a finite number of corner points. In each step, a series of mixed well-posed boundary value problems are solved for the heat operator and its adjoint. Convergence is proved in a weighted L2-space. Numerical results are included which show that the procedure gives accurate and stable approximations in relatively few iterations.
Original language | English |
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Pages (from-to) | 357-372 |
Number of pages | 16 |
Journal | Inverse Problems |
Volume | 23 |
Issue number | 1 |
DOIs | |
Publication status | Published - 17 Jan 2007 |
Keywords
- mathematical physics
- computational physics