The paper deals with a class of inverse parametric problems for which the energy function may be defined. The advanced multi-deme strategy that offers an adaptive accuracy is utilized for solving associated optimal control problems. The direct problems necessary for fitness evaluation are computed by the hp-adaptive Finite Elements. The new iterative strategy balances the error of solving the direct problem and the error of solving the optimal control problem in order to descrease the total computational cost. The concept of the strategy is partially formally verified (see Lemma 3.1 and 3.2), moreover the advantages in the computational practice are mentioned.
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