Numerical solution of elliptic distributed optimal control problems with boundary value tracking
By: Ulrich Langer , Richard Löscher , Olaf Steinbach and more
Potential Business Impact:
Makes computers solve hard math problems faster.
We consider some boundary value tracking optimal control problem constrained by a Neumann boundary value problem for some elliptic partial differential equation where the control acts as right-hand side. This optimal control problem can be reformulated asa state-based variational problem that is the starting point for the finite element discretizion. In this paper, we only consider atensor-product finite element discretizion for which optimal discretization error estimates and fast solvers can be derived.Numerical experiments illustrate the theoretical results quantitatively.
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