Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE

摘要

An optimal Robin boundary control problem associated with semilinear parabolic partial differential equations is considered. Existence of an optimal solution is proved and an optimality system of equations is derived. Semidiscrete finite element approximations of the optimality system are defined and error estimates are obtained. (c) 2005 Elsevier Inc. All rights reserved.