Numerical solution of a 2D inverse heat conduction problem

We consider a two-dimensional (2D) inverse heat conduction problem which is severely ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. For obtaining a stable approximate solution, we propose an iterative regularization method from a new point of view. On the one hand, we give and prove some order optimal convergence results in the L2-norm and Hr-norm under both…