Diploma and Master Theses (authored and supervised):
"Abstract a-priori-analysis of FEM for elliptic, unconstrained optimal control problems";
Supervisor: J. Melenk;
Institut für Analysis und Scientific Computing,
final examination: 2015-09-30.
We reduce elliptic unconstrained optimal control problems (distributed control) to classic saddle point problems and apply known a-priori convergence results from the associated FEM directly. All statements are formulated and proved in an abstract Hilbert space setting. The abstract results are then illustrated by the well known Laplace equation and implemented in MATLAB.
Finite-Element-Method; a priori error analysis; saddle point problem; control problem
Created from the Publication Database of the Vienna University of Technology.