Supervised theses

Maximilian Lackner: Py1AFEM: eine Implementierung adaptiver FEM in Python (Supervisors: M. Innerberger, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2023. [PDF], opens a file in a new window

Jakob Berner: Adaptive Finite Elemente Methode für endliche viele Zielfunktionale (Supervisors: M. Innerberger, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2023. [PDF], opens a file in a new window

Iris Feldhammer: Conforming bisection of simplicial triangulations in 3D (Supervisors: M. Innerberger, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2022. [PDF], opens a file in a new window

Samuel Keller: Numerisches Lösen der Landau-Lifshitz-Gilbert Gleichung für dünne Schichten (Supervisors: D. Praetorius, M. Ruggeri), Bachelor thesis, Institute of Analysis and Scientific Computing, 2022. [PDF], opens a file in a new window

Valentin Helml: Ein elementarer Beweis für Konvergenz adaptiver FEM (Supervisors: M. Innerberger, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2021. [PDF], opens a file in a new window

Felix Blödorn: Adaptive isogeometrische Finite-Elemente-Methode mit T-Splines (Supervisors: G. Gantner, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2020. [PDF], opens a file in a new window

Sebastian Ertel: A virtual element method of arbitrary regularity (Supervisors: D. Praetorius, M. Ruggeri), Bachelor thesis, Institute of Analysis and Scientific Computing, 2019. [PDF], opens a file in a new window

Daniel Haberlik: Adaptive isogeometrische Finite Elemente Methode mit hierarchischen Splines (Supervisors: G. Gantner, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2016. [PDF], opens a file in a new window

Juliana Kainz: Stabile Implementierung von HILBERT S2P1 (Supervisors: T. Führer, G. Gantner, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2015. [PDF], opens a file in a new window

Carl-Martin Pfeiler: Stabilität der L2-Orthogonalprojektion im Sobolev-Raum H1 und in lokal gewichteten L2-Räumen (Supervisors: M. Karkulik, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, 2015. [PDF], opens a file in a new window

Peter Schaefer: Stabile Implementierung der Randelementmethode auf anisotrop verfeinerten Gittern (Supervisors: M. Feischl, M. Karkulik, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013. [PDF], opens a file in a new window

Josef Kemetmüller: Vektorisierte Implementierung von P1-FEM in 3D (Supervisors: M. Page, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012. [PDF], opens a file in a new window

Michael Ebner: A-posteriori Fehlerschätzung für die Symm'sche Integralgleichung (Supervisors: M. Aurada, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012. [PDF], opens a file in a new window

David Pavlicek: Optimalität adaptiver FEM (Supervisors: M. Aurada, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2011. [PDF], opens a file in a new window

Markus Mayr: Stabile Implementierung der Randelementmethode auf stark adaptierten Netzen (Supervisors: S. Ferraz-Leite, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010. [PDF], opens a file in a new window

Michael Feischl: Different Strategies for the Adaptive FEM-BEM Coupling (Supervisors: M. Aurada, D. Praetorius), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010. [PDF], opens a file in a new window

Juliana Kainz: Isogeometrische Randelementmethode für die Lamé-Gleichung (Supervisors: G. Gantner, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2019, Examination: 20.11.2019. [PDF], opens a file in a new window

Michael Innerberger: Zur Instanzoptimalität adaptiver 2D FEM (Supervisors: A. Haberl, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 18.10.2018. [PDF], opens a file in a new window

Carl-Martin Pfeiler: Lineare IMEX-Integration zweiter Ordnung für die nichtlineare Landau-Lifshitz-Gilbert-Gleichung (Supervisors: D. Praetorius, M. Ruggeri, B. Stiftner), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 24.01.2018. [PDF], opens a file in a new window

Florian 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. [PDF], opens a file in a new window

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

Alexander Haberl: Instanz-Optimalität adaptiver FEM (Supervisors: M. Feischl, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2015, Examination: 15.01.2015. [PDF], opens a file in a new window

Gregor Mitscha-Eibl: Adaptive BEM und FEM-BEM-Kopplung für die Lamé-Gleichung (Supervisors: T. Führer, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 16.10.2014. [PDF], opens a file in a new window

Gregor Gantner: Adaptive isogeometric BEM (Supervisors: M. Feischl, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 11.06.2014. [PDF], opens a file in a new window

Josef Kemetmüller: Numerische Integration der Landau-Lifschitz-Gilbert-Gleichung (Supervisors: M. Page, D. Praetorius, M. Ruggeri), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 08.05.2014. [PDF], opens a file in a new window

David 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. [PDF], opens a file in a new window

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

Michael Feischl: Optimality of adaptive 2D boundary element method (Supervisors: M. Karkulik, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 22.03.2012. [PDF], opens a file in a new window

Thomas Führer: Numerische Berechnung des magnetischen Streufelds (Supervisors: P. Goldenits, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010, Examination: 12.10.2010. [PDF], opens a file in a new window

Marcus Page: Schätzerreduktion und Konvergenz adaptiver FEM für Hindernisprobleme (Supervisors: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010, Examination: 20.05.2010. [PDF], opens a file in a new window

Claudia 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. [PDF], opens a file in a new window

Petra 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], opens a file in a new window

Isabella 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], opens a file in a new window

Philipp Wissgott: A Space-Time Adaptive Algorithm for Linear Parabolic Problems (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2007. [PDF], opens a file in a new window

Samuel 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. [PDF], opens a file in a new window

Christoph Erath: Adaptive Finite Volumen Methode (Supervisor: D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2005. [PDF], opens a file in a new window

Michael Innerberger: Reliable goal-oriented adaptive FEM (Supervisor: D. Praetorius; Reviewers: R. Becker, R. Stevenson), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2022, Examination: 27.04.2022. [PDF], opens a file in a new window

Carl-Martin Pfeiler: Numerical analysis and efficient simulation of micromagnetic phenomena (Supervisor: D. Praetorius; Reviewers: S. Bartels, N. Mauser), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2022, Examination: 17.03.2022. [PDF], opens a file in a new window

Stefan Schimanko: On optimality of adaptive FEM and BEM (Supervisor: D. Praetorius; Reviewers: S. Funken, M. Vohralik), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2021, Examination: 23.06.2021. [PDF], opens a file in a new window

Bernhard Stiftner: Second-order in time numerical integration of the Landau-Lifshitz-Gilbert equation (Supervisor: D. Praetorius; Reviewers: J. Kraus, A. Prohl), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 21.06.2018. [PDF], opens a file in a new window

Alexander Haberl: On adaptive FEM and BEM for indefinite and nonlinear problems (Supervisor: D. Praetorius; Reviewers: A. Bespalov, T. Betcke), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 24.04.2018 [PDF], opens a file in a new window

Gregor Gantner: Optimal adaptivity for splines in finite and boundary element methods (Supervisor: D. Praetorius; Reviewers: H. Harbrecht, D. Peterseim), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2017, Examination: 30.11.2017. [PDF], opens a file in a new window

Michele Ruggeri: Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation (Supervisor: D. Praetorius; Reviewers: S. Bartels, A. Jüngel), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2016, Examination: 22.11.2016. [PDF], opens a file in a new window

Michael Feischl: Rate optimality of adaptive algorithms (Supervisor: D. Praetorius; Reviewer: C. Carstensen), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2015, Examination: 24.04.2015. [PDF], opens a file in a new window

Thomas Führer: Zur Kopplung von finiten Elementen und Randelementen, (Supervisor: D. Praetorius; Reviewer: E. Stephan), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 26.06.2014. [PDF], opens a file in a new window

Marcus Page: On dynamical micromagnetism, (Supervisors: D. Praetorius, L. Banas), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 18.10.2013. [PDF], opens a file in a new window

Michael Karkulik: Zur Konvergenz und Quasioptimalität adaptiver Randelementmethoden (Supervisor: D. Praetorius, J.M. Melenk; Reviewer: S. Sauter), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 29.10.2012. [PDF], opens a file in a new window

Petra Goldenits: Konvergente numerische Integration der Landau-Lifshitz-Gilbert Gleichung (Supervisor: D. Praetorius; Reviewer: D. Süss), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 15.06.2012. [PDF], opens a file in a new window

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

Samuel Ferraz-Leite: Quadratic minimization with non-local operators and non-linear constraints (Supervisors:  J.M. Melenk, D. Praetorius; Reviewer: S. Bartels), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2011, Examination: 18.02.2011. [PDF], opens a file in a new window

Jelena Bojanic: Numerical Analysis of the 1D Satellite Beam Equation (Supervisors: C. Carstensen, D. Praetorius), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2005. [PDF], opens a file in a new window

External reviewer

Anja Schmidt: Adaptive meshing in two dimensions: Refinement, coarsening, and stability (Supervisor: S. Funken; Reviewer: D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2021, Examination: 23.04.2021. [PDF], opens an external URL in a new window

Ani Miraci: A-posteriori-steered and adaptive p-robust multigrid solvers (Supervisors: M. Vohralik, A. Ern; Reviewers: M. Gander, D. Praetorius, M. Verani), Dissertation, Sorbonne Université, Mathematical Sciences of Central Paris (ED 386), 2020, Examination: 14.12.2020. [PDF], opens an external URL in a new window

Martin Holzinger: Konforme Abbildungen zur Simulation von Modellen mit verteilten Parametern (Supervisor: F. Breitenecker; Reviewers: T. Pawletta, D. Praetorius), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2020, Examination: 29.04.2020. [PDF], opens an external URL in a new window

Cem Özdemir: Finite elements and boundary elements coupling in time domain (Supervisor: E. Stephan; Reviewers: H. Gimperlein, D. Praetorius), Dissertation, Leibniz Universität Hannover, 2019, Examination: 25.09.2019. [www], opens an external URL in a new window

Svetoslav Nakov: The Poisson-Boltzmann equation: Analysis, a posteriori error estimation and applications (Supervisor: J. Kraus; Reviewer: D. Praetorius), Dissertation, Johannes Kepler Universität Linz, 2019, Examination: 11.07.2019. [PDF], opens an external URL in a new window

Patrick Schön: Scalable adaptive bisection algorithms on decomposed simplicial partitions for efficient discretizations of nonlinear partial differential equations (Supervisor: S. Bartels; Reviewer: D. Praetorius), Dissertation, Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, 2017, Examination: 22.12.2017. [PDF], opens an external URL in a new window

Polina Shpartko: Analytical and numerical study of drift-diffusion models for spin-transport in semiconductors (Supervisor: A. Jüngel; Reviewers: C. Chainais-Hillairet, D. Praetorius), Dissertation, Institute of Analysis and Scientific Computing, TU Wien 2016, Examination: 06.06.2016. [www], opens an external URL in a new window

Andreas Bantle: On high-order NURBS-based boundary element methods in two dimensions: Numerical integration and implementation (Supervisor: S. Funken; Reviewer: D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2015, Examination: 03.07.2015. [PDF], opens an external URL in a new window

Markus Bantle: On hp-boundary element methods for the Laplace operator in two dimensions (Supervisor: S. Funken; Reviewer:D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2013, Examination: 11.07.2013. [www], opens an external URL in a new window

Florian Bruckner: Multiscale simulation of magnetic nanostructures (Supervisor: D. Süss; Reviewer: D. Praetorius), Dissertation, Institute for Solid State Physics, 2013, Examination: 27.05.2013. [PDF], opens an external URL in a new window

Christoph Erath: Coupling of the finite volume method and the boundary element method: Theory, analysis, and numerics (Supervisor: S. Funken; Reviewers: K. Urban, D. Praetorius, H. Harbrecht), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2010, Examination: 21.07.2010. [www], opens an external URL in a new window

Michael Spevak: On the specification and the assembly of discretized differential equations (Supervisor: S. Selberherr; Reviewer: D. Praetorius), Dissertation, Institut für Mikroelektronik, TU Wien, 2008, Examination: 03.03.2008. [www], opens an external URL in a new window

  • Lothar Banz: Habilitation thesis, University of Salzburg, 2019.
  • Tatiana S. Samrowski: On computable bounds of approximation and modelling errors, Habilitation thesis, University of Zurich, 2018.

  • Gantumur Tsogtgerel, promotion to associate professor, McGill University, 2014

  • Heiko Gimperlein, promotion to associate professor, Heriot-Watt University, 2016

  • Timo Betcke, promotion to full professor ("Professor of Computational Mathematics"), University College London, 2018

  • Heiko Gimperlein, promotion to full professor, Heriot-Watt University, 2021

Templates für akademische Arbeiten