Identifiability under Approximation for an Elliptic Boundary Value Problem
Karl K. Kunisch, Luther W. White · SIAM Journal on Control and Optimization · 1987
Necessary and sufficient conditions for identifiability of the diffusion coefficient in Galerkin approximations to a two point boundary value problem are derived for various choices of Galerkin subspaces. The results are further used to investigate output least squares identifiability and output least squares stability of the diffusion coefficient.