Finite element methods for elliptic and parabolic optimal control problems with measure data

Abstract

The aim of this thesis is to study a priori and a posteriori error analysis of nite element methods for elliptic and parabolic optimal control problems with measure data in a bounded convex domain in Rd d 2 or 3 The control problems governed by elliptic partial di eren tial equation with measure data are used to model the potential of an electric eld with an electric charge distribution whereas parabolic optimal control problems with measure data in space are used in the design and manag