论文信息 - UNIFORM CONVERGENCE OF THE FEM. APPLICATIONS TO STATE CONSTRAINED CONTROL PROBLEMS

UNIFORM CONVERGENCE OF THE FEM. APPLICATIONS TO STATE CONSTRAINED CONTROL PROBLEMS

In this paper we focus the numerical discretization of a state constrained control problem governed by a semilinear elliptic equation. Dis- tributed and boundary controls are considered. We study the convergence of the discrete optimal controls to the continuous optimal controls in the weak and strong topologies. Previous to this analysis we obtain some results of con- vergence in the L 1 norm of the approximations of the state equation by nite elements, which is essential to deal with the pointwise state constraints.

Eduardo Casas | Mariano Mateos | E. Casas | M. Mateos

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