Finite element approximation for a class of parameter estimation problems

This paper investigates the finite element approximation of a class of parameter estimation problems which is the form of performance as the optimal control problems governed by bilinear parabolic equations, where the state and co-state are discretized by piecewise linear functions and control is approximated by piecewise constant functions. The authors derive some a priori error estimates for both the control and state approximations. Finally, the numerical experiments verify the theoretical results.

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