Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation

06/08/2020
by   Qin Zhou, et al.
0

Optimal Dirichlet boundary control for a fractional/normal evolution with a final observation is considered. The unique existence of the solution and the first-order optimality condition of the optimal control problem are derived. The convergence of a temporally semidiscrete approximation is rigorously established, where the control is not explicitly discretized and the state equation is discretized by a discontinuous Galerkin method in time. Numerical results are provided to verify the theoretical results.

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