Bachelor Theses (finished)

F. Blödorn: Adaptive isogeometrische Finite-Elemente-Methode mit T-Splines (Supervisor: G. Gantner, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2020. [pdf]

S. Ertel: A virtual element method of arbitrary regularity (Supervisor: M. Ruggeri, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2019. [pdf]

D. Haberlik: Adaptive isogeometrische Finite Elemente Methode mit hierarchischen Splines (Supervisor: G. Gantner, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2016. [pdf]

J. Kainz: Stabile Implementierung von HILBERT S2P1 (Supervisor: T. Führer, G. Gantner, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2015. [pdf]

C. Pfeiler: Stabilität der L2-Orthogonalprojektion im Sobolev-Raum H1 und in lokal gewichteten L2-Räumen (Supervisor: M. Karkulik, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2015.

P. Schaefer: Stabile Implementierung der Randelementmethode auf anisotrop verfeinerten Gittern (Supervisor: M. Feischl, M. Karkulik, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013. [abstract] [pdf]

J. Kemetmüller: Vektorisierte Implementierung von P1-FEM in 3D (Supervisor: M. Page, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012. [abstract] [pdf]

M. Ebner: A-posteriori Fehlerschätzung für die Symm'sche Integralgleichung (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012. [abstract] [pdf]

D. Pavlicek: Optimalität adaptiver FEM (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2011. [abstract] [pdf]

M. Mayr: Stabile Implementierung der Randelementmethode auf stark adaptierten Netzen (Supervisor: S. Ferraz-Leite, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010. [abstract] [pdf]

M. Feischl: Different Strategies for the Adaptive FEM-BEM Coupling (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010. [abstract] [pdf]


Diploma/Master Theses (finished)

J. Kainz: Isogeometrische Randelementmethode für die Lamé-Gleichung (Supervisor: G. Gantner, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2019, Examination: 20.11.2019. [abstract] [pdf]

M. Innerberger: Zur Instanzoptimalität adaptiver 2D FEM (Supervisor: A. Haberl, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 18.10.2018.

C.-M. Pfeiler: Lineare IMEX-Integration zweiter Ordnung für die nichtlineare Landau-Lifshitz-Gilbert-Gleichung (Supervisor: D. Praetorius, M. Ruggeri, B. Stiftner), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 24.01.2018. [abstract] [pdf]

F. Slanovc: Adaptive FEM für Probleme mit inhomogenen Dirichlet-Daten (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2017, Examination: 21.06.2017. [abstract] [pdf]

S. Schimanko: Adaptive isogeometric boundary element method for the hyper-singular integral equation (Supervisor: G. Gantner, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2016, Examination: 25.11.2016. [abstract] [pdf]

A. Haberl: Instanz-Optimalität adaptiver FEM (Supervisor: M. Feischl, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2015, Examination: 15.01.2015.

G. Mitscha-Eibl: Adaptive BEM und FEM-BEM-Kopplung für die Lamé-Gleichung (Supervisor: T. Führer, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 16.10.2014. [abstract] [pdf]

G. Gantner: Adaptive isogeometric BEM (Supervisor: M. Feischl, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 11.06.2014. [abstract] [pdf]

J. Kemetmüller: Numerische Integration der Landau-Lifschitz-Gilbert-Gleichung (Supervisor: M. Page, D. Praetorius, M. Ruggeri), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 08.05.2014. [abstract] [pdf]

D. Pavlicek: Simulation des Zellwachstums in einem Bioreaktor (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 03.09.2013. [abstract]

M. Mayr: MILLG - Ein Löser für die Landau-Lifshitz-Gilbert-Gleichung (Supervisor: M. Page, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 17.01.2013.

M. Feischl: Optimality of adaptive 2D boundary element method (Supervisor: M. Karkulik, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 22.03.2012. [abstract] [pdf]

T. Führer: Numerische Berechnung des magnetischen Streufelds (Supervisor: P. Goldenits, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010, Examination: 12.10.2010. [abstract] [pdf]

M. Page: Schätzerreduktion und Konvergenz adaptiver FEM für Hindernisprobleme (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010, Examination: 20.05.2010. [abstract] [pdf]

C. Satke: A Numerical Solver for the Multivariate Black-Scholes Problem Using the Multigrid Method (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2009, Examination: 16.06.2009. [abstract] [pdf]

P. Goldenits: Analyse adaptiver Netzverfeinerungsstrategien für eine hypersinguläre Integralgleichung in 2D (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2009, Examination: 28.01.2009. [pdf]

I. Roth: Zuverlässige a posteriori Fehlerschätzung für datengestörte Randelementmethoden in 2D (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2009, Examination: 08.01.2009. [pdf]

P. Wissgott: A Space-Time Adaptive Algorithm for Linear Parabolic Problems (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2007. [abstract]

S. Ferraz-Leite: A Posteriori Fehlerschätzer für die Symmsche Integralgleichung in 3D (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2007. [abstract] [pdf]

C. Erath: Adaptive Finite Volumen Methode (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2005. [abstract] [pdf]


Ph.D. Theses (finished)

A. Miraci: A-posteriori-steered and adaptive p-robust multigrid solvers, Supervisor: M. Vohralik, A. Ern, M. Gander, D. Praetorius, M. Verani, Sorbonne Université, Mathematical Sciences of Central Paris (ED 386), 2020, Examination: 14.12.2020.

M. Holzinger: Konforme Abbildungen zur Simulation von Modellen mit verteilten Parametern, (Supervisor: F. Breitenecker, T. Pawletta, D. Praetorius), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2020, Examination: 29.04.2020. [abstract] [pdf]

C. Özdemir: Finite elements and boundary elements coupling in time domain, Supervisor: E. Stephan, H. Gimperlein, D. Praetorius, Leibniz Universität Hannover, 2019, Examination: 25.09.2019.

S. Nakov: The Poisson-Boltzmann equation: Analysis, a posteriori error estimation and applications, Supervisor: J. Kraus, D. Praetorius, Johannes Kepler Universität Linz, 2019, Examination: 11.07.2019.

B. Stiftner: Second-order in time numerical integration of the Landau-Lifshitz-Gilbert equation, (Supervisor: D. Praetorius, J. Kraus, A. Prohl), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 21.06.2018. [abstract] [pdf]

A. Haberl: On adaptive FEM and BEM for indefinite and nonlinear problems, (Supervisor: D. Praetorius, A. Bespalov, T. Betcke), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 24.04.2018. [abstract] [pdf]

P. Schön: Scalable adaptive bisection algorithms on decomposed simplicial partitions for efficient discretizations of nonlinear partial differential equations, Supervisor: S. Bartels, D. Praetorius, Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, 2017, Examination: 22.12.2017.

G. Gantner: Optimal adaptivity for splines in finite and boundary element methods, (Supervisor: D. Praetorius, H. Harbrecht, D. Peterseim), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2017, Examination: 30.11.2017. [abstract] [pdf]

M. Ruggeri: Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation, (Supervisor: D. Praetorius, S. Bartels, A. Jüngel), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2016, Examination: 22.11.2016. [abstract] [pdf]

P. Shpartko: Analytical and Numerical Study of Drift-Diffusion Models for Spin-Transport in Semiconductors, Supervisor: A. Jüngel, C. Chainais-Hillairet, D. Praetorius, Institute of Analysis and Scientific Computing, TU Wien 2016, Examination: 06.06.2016.

A. Bantle: On High-Order NURBS-Based Boundary Element Methods in Two Dimensions: Numerical Integration and Implementation, (Supervisor: S. Funken, D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2015, Examination: 03.07.2015.

M. Feischl: Rate optimality of adaptive algorithms, (Supervisor: D. Praetorius, C. Carstensen), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2015, Examination: 24.04.2015.

T. Führer: Zur Kopplung von finiten Elementen und Randelementen, (Supervisor: D. Praetorius, E. Stephan), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 26.06.2014. [abstract] [pdf]

M. Page: On dynamical micromagnetism, (Supervisor: D. Praetorius, L. Banas), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 18.10.2013. [pdf]

M. Bantle: On hp-boundary element methods for the Laplace operator in two dimensions, (Supervisor: S. Funken, D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2013, Examination: 11.07.2013.

F. Bruckner: Multiscale simulation of magnetic nanostructures, (Supervisor: D. Süss, D. Praetorius), Dissertation, Institute for Solid State Physics, 2013, Examination: 27.05.2013. [abstract]

M. Karkulik: Zur Konvergenz und Quasioptimalität adaptiver Randelementmethoden, (Supervisor: D. Praetorius, J. Melenk, S. Sauter), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 29.10.2012. [abstract] [pdf]

P. Goldenits: Konvergente numerische Integration der Landau-Lifshitz-Gilbert Gleichung, (Supervisor: D. Praetorius, D. Süss), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 15.06.2012.

M. Aurada: Mixed conforming elements for the large-body limit in micromagnetics, (Supervisor: J. Melenk, D. Praetorius, C. Carstensen), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2011, Examination: 21.10.2011.

S. Ferraz-Leite: Quadratic minimization with non-local operators and non-linear constraints, (Supervisor: D. Praetorius, J. Melenk, S. Bartels), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2011, Examination: 18.02.2011. [pdf]

C. Erath: Coupling of the Finite Volume Method and the Boundary Element Method: Theory, Analysis, and Numerics, (Supervisor: S. Funken, K. Urban, D. Praetorius, H. Harbrecht), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2010, Examination: 21.07.2010. [www]

M. Spevak: On the Specification and the Assembly of Discretized Differential Equations, (Supervisor: S. Selberherr, D. Praetorius), Dissertation, Institut für Mikroelektronik, 2008, Examination: 03.03.2008. [abstract] [www]

J. Bojanic: Numerical Analysis of the 1D Satellite Beam Equation, (Supervisor: C. Carstensen, D. Praetorius), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2005. [pdf]