Diploma and Master Theses (authored and supervised):
"A posteriori error estimation in the discontinous Galerkin method for the space-time discretization of the heat equation";
Supervisor: J. Melenk;
Institut für Analysis und Scientific Computing,
final examination: 2015-01-30.
Two a posteriori error estimators are derived for a numerical method for the heat equation. The discretization is based on the discontinuous Galerkin approach both in space and time. The error estimator are upper bounds for the error, i.e., they are reliable. Numerical experiments show that they accurately represent the true error.
Created from the Publication Database of the Vienna University of Technology.