Affiliation:
1. Institute of Information Technology , Jamk University of Applied Sciences ; and University of Jyväskylä , Jyväskylä , Finland
Abstract
Abstract
This work presents the multiharmonic analysis and derivation of functional type a posteriori estimates of a distributed eddy current optimal control problem and its state equation in a time-periodic setting.
The existence and uniqueness of the solution of a weak space-time variational formulation for the optimality system and the forward problem are proved by deriving inf-sup and sup-sup conditions.
Using the inf-sup and sup-sup conditions, we derive guaranteed, sharp and fully computable bounds of the approximation error for the optimal control problem and the forward problem in the functional type a posteriori estimation framework.
We present here the first computational results on the derived estimates.
Funder
European Regional Development Fund
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
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