Boundary Conditions Identification for Thermostatic Cauchy Problem by Minimizing an Energy-like Function

T.N. Baranger
LDMS, UMR CNRS-INSA 5006, ISTIL - Université Claude Bernard, Lyon

An energy-like error function is introduced in the context of the ill-posed problem of boundary data recovering, which is commopnly known as a Cauchy problem.

Here the problem is converted into an optimization problem.

Numerical simulations highlight the efficiency and robustness of the proposed method.