SIAM Journal on Control and Optimization, Vol.44, No.5, 1844-1863, 2005
A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements
We develop an a priori error analysis for the. finite element Galerkin discretization of parameter identification problems. The state equation is given by an elliptic partial differential equation of second order with a finite number of unknown parameters, which are estimated using pointwise measurements of the state variable.