Simultaneous space diffusivity and source term reconstruction in 2D IHCP

A numerical marching scheme is presented for the simultaneous recovery of the diffusivity coefficient, spatial source term, temperature, and heat flux distributions in the two-dimensional inverse heat conduction problem when noisy data at the active boundary and the initial measured temperature distribution are given. No information about the quality and/or quantity of the noise is assumed. A proof of stability and convergence of the algorithm are provided together with several numerical examples of interest.