Numerical Solution of the Coefficient Inverse Problem for a Production-Destruction Model with Various Adjoint Ensemble Designs

Coefficient inverse problems for non-stationary production-destruction models are considered. Such models are used in the studies of the chemical transformation processes. The objective of the work is to apply an approach, consisting in reducing the inverse problem to a quasi-linear matrix equation based on sensitivity operators constructed from an ensemble of independent solutions of adjoint equations. The sensitivity operator relates the variation of the observed values to the variation of the model coefficients. The Newton-Kantorovich-type algorithm is used to solve the obtained matrix equations. The impact of the ensemble construction on local convergence properties of the algorithm are studied numerically on the Brusselator model example.