Electronic Journal of Boundary Elements. Volume 9, Number 1 (Archival Information Package)

We consider a Cauchy problem for the heat equation, where the temperature field is to be reconstructed from the temperature and heat flux given on a part of the boundary of the solution domain. We employ a Landweber type method proposed in ~cite{Bast}, where a sequence of mixed well-posed problems are solved at each iteration step to obtain a stable approximation to the original Cauchy problem. We develop an efficient boundary integral equation method for the numerical solution of these mixed problems, based on the method of Rothe. Numerical experiments are presented both with exact and noisy data, showing the efficiency and stability of the proposed procedure and approximations. This resource is archived and is not available for public use. The publicly accessible version is available at http://ejbe.libraries.rutgers.edu/index.php/ejbe/issue/view/95Binary format, Base 64 in XML wrapper, native OJS import format -- README file -- Recovering boundary data in planar heat conduction using a boundary integral equation method / Chapko, Roman, Johansson, Tomas, Vavrychuk, Vasy