Supervised theses
J. Berner: Adaptive Finite Elemente Methode für endliche viele Zielfunktionale (Supervisor: D. Praetorius, opens an external URL in a new window, M. Innerberger, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2023. [PDF], opens a file in a new window
I. Feldhammer: Conforming bisection of simplicial triangulations in 3D (Supervisor: D. Praetorius, opens an external URL in a new window, M. Innerberger, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2022. [PDF], opens a file in a new window
S. Keller: Numerisches Lösen der Landau-Lifshitz-Gilbert Gleichung für dünne Schichten (Supervisor: D. Praetorius, opens an external URL in a new window, M. Ruggeri, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2022. [PDF], opens a file in a new window
V. Helml: Ein elementarer Beweis für Konvergenz adaptiver FEM (Supervisor: M. Innerberger, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2021. [PDF], opens a file in a new window
F. Blödorn: Adaptive isogeometrische Finite-Elemente-Methode mit T-Splines (Supervisor: G. Gantner, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2020. [PDF], opens a file in a new window
S. Ertel: A virtual element method of arbitrary regularity (Supervisor: M. Ruggeri, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2019. [PDF], opens a file in a new window
D. Haberlik: Adaptive isogeometrische Finite Elemente Methode mit hierarchischen Splines (Supervisor: G. Gantner, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2016. [PDF], opens a file in a new window
J. Kainz: Stabile Implementierung von HILBERT S2P1 (Supervisor: T. Führer, opens an external URL in a new window, G. Gantner, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2015. [PDF], opens a file in a new window
C. Pfeiler, opens an external URL in a new window: Stabilität der L2-Orthogonalprojektion im Sobolev-Raum H1 und in lokal gewichteten L2-Räumen (Supervisor: M. Karkulik, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute for Analysis and Scientific Computing, 2015.
C.-M. Pfeiler, opens an external URL in a new window: Stabilität der L2-Orthogonalprojektion im Sobolev-Raum H1 und in lokal gewichteten L2-Räumen (Supervisor: M. Karkulik, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2015.
P. Schaefer: Stabile Implementierung der Randelementmethode auf anisotrop verfeinerten Gittern (Supervisor: M. Feischl, opens an external URL in a new window, M. Karkulik, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
J. Kemetmüller, opens an external URL in a new window: Vektorisierte Implementierung von P1-FEM in 3D (Supervisor: M. Page, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Ebner, opens an external URL in a new window: A-posteriori Fehlerschätzung für die Symm'sche Integralgleichung (Supervisor: M. Aurada, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
D. Pavlicek, opens an external URL in a new window: Optimalität adaptiver FEM (Supervisor: M. Aurada, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2011. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Mayr: Stabile Implementierung der Randelementmethode auf stark adaptierten Netzen (Supervisor: S. Ferraz-Leite, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010. [abstract], opens an external URL in a new window
M. Feischl, opens an external URL in a new window: Different Strategies for the Adaptive FEM-BEM Coupling (Supervisor: M. Aurada, D. Praetorius, opens an external URL in a new window), Bachelor thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
J. Kainz: Isogeometrische Randelementmethode für die Lamé-Gleichung (Supervisor: G. Gantner, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2019, Examination: 20.11.2019. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Innerberger, opens an external URL in a new window: Zur Instanzoptimalität adaptiver 2D FEM (Supervisor: A. Haberl, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 18.10.2018.
C.-M. Pfeiler, opens an external URL in a new window: Lineare IMEX-Integration zweiter Ordnung für die nichtlineare Landau-Lifshitz-Gilbert-Gleichung (Supervisor: D. Praetorius, opens an external URL in a new window, M. Ruggeri, opens an external URL in a new window, B. Stiftner, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 24.01.2018. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
F. Slanovc: Adaptive FEM für Probleme mit inhomogenen Dirichlet-Daten (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2017, Examination: 21.06.2017. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
S. Schimanko, opens an external URL in a new window: Adaptive isogeometric boundary element method for the hyper-singular integral equation (Supervisor: G. Gantner, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2016, Examination: 25.11.2016. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
A. Haberl, opens an external URL in a new window: Instanz-Optimalität adaptiver FEM (Supervisor: M. Feischl, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), 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, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 16.10.2014. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
G. Gantner, opens an external URL in a new window: Adaptive isogeometric BEM (Supervisor: M. Feischl, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 11.06.2014. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
J. Kemetmüller, opens an external URL in a new window: Numerische Integration der Landau-Lifschitz-Gilbert-Gleichung (Supervisor: M. Page, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window, M. Ruggeri, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 08.05.2014. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
D. Pavlicek, opens an external URL in a new window: Simulation des Zellwachstums in einem Bioreaktor (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 03.09.2013. [abstract], opens an external URL in a new window
M. Mayr: MILLG - Ein Löser für die Landau-Lifshitz-Gilbert-Gleichung (Supervisor: M. Page, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 17.01.2013.
M. Feischl, opens an external URL in a new window: Optimality of adaptive 2D boundary element method (Supervisor: M. Karkulik, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 22.03.2012. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
T. Führer, opens an external URL in a new window: Numerische Berechnung des magnetischen Streufelds (Supervisor: P. Goldenits, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010, Examination: 12.10.2010. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Page, opens an external URL in a new window: Schätzerreduktion und Konvergenz adaptiver FEM für Hindernisprobleme (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2010, Examination: 20.05.2010. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
C. Satke: A Numerical Solver for the Multivariate Black-Scholes Problem Using the Multigrid Method (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2009, Examination: 16.06.2009. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
P. Goldenits, opens an external URL in a new window: Analyse adaptiver Netzverfeinerungsstrategien für eine hypersinguläre Integralgleichung in 2D (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2009, Examination: 28.01.2009. [PDF], opens a file in a new window
I. Roth, opens an external URL in a new window: Zuverlässige a posteriori Fehlerschätzung für datengestörte Randelementmethoden in 2D (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2009, Examination: 08.01.2009. [PDF], opens a file in a new window
P. Wissgott, opens an external URL in a new window: A Space-Time Adaptive Algorithm for Linear Parabolic Problems (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2007. [abstract], opens an external URL in a new window
S. Ferraz-Leite, opens an external URL in a new window: A Posteriori Fehlerschätzer für die Symmsche Integralgleichung in 3D (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2007. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
C. Erath, opens an external URL in a new window: Adaptive Finite Volumen Methode (Supervisor: D. Praetorius, opens an external URL in a new window), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2005. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Innerberger, opens an external URL in a new window: Reliable goal-oriented adaptive FEM, (Supervisor: D. Praetorius, opens an external URL in a new window, R. Becker, opens an external URL in a new window, R. Stevenson), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2022, Examination: 27.04.2022. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
C.-M. Pfeiler, opens an external URL in a new window: Numerical analysis and efficient simulation of micromagnetic phenomena, (Supervisor: D. Praetorius, opens an external URL in a new window, S. Bartels, opens an external URL in a new window, N. Mauser, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2022, Examination: 17.03.2022. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
S. Schimanko, opens an external URL in a new window: On optimality of adaptive FEM and BEM, (Supervisor: D. Praetorius, opens an external URL in a new window, S. Funken, opens an external URL in a new window, M. Vohralik, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2021, Examination: 23.06.2021. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
A. Schmidt: Adaptive Meshing in Two Dimensions: Refinement, Coarsening, and Stability, (Supervisor: S. Funken, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2021, Examination: 23.04.2021. [www], opens an external URL in a new window
A. Miraci, opens an external URL in a new window: A-posteriori-steered and adaptive p-robust multigrid solvers, Supervisor: M. Vohralik, opens an external URL in a new window, A. Ern, M. Gander, D. Praetorius, opens an external URL in a new window, M. Verani, Sorbonne Université, Mathematical Sciences of Central Paris (ED 386), 2020, Examination: 14.12.2020. [www], opens an external URL in a new window
M. Holzinger: Konforme Abbildungen zur Simulation von Modellen mit verteilten Parametern, (Supervisor: F. Breitenecker, T. Pawletta, D. Praetorius, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2020, Examination: 29.04.2020. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
C. Özdemir: Finite elements and boundary elements coupling in time domain, Supervisor: E. Stephan, opens an external URL in a new window, H. Gimperlein, D. Praetorius, opens an external URL in a new window, Leibniz Universität Hannover, 2019, Examination: 25.09.2019. [www], opens an external URL in a new window
S. Nakov: The Poisson-Boltzmann equation: Analysis, a posteriori error estimation and applications, Supervisor: J. Kraus, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window, Johannes Kepler Universität Linz, 2019, Examination: 11.07.2019. [PDF], opens an external URL in a new window
B. Stiftner, opens an external URL in a new window: Second-order in time numerical integration of the Landau-Lifshitz-Gilbert equation, (Supervisor: D. Praetorius, opens an external URL in a new window, J. Kraus, opens an external URL in a new window, A. Prohl), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 21.06.2018. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
A. Haberl, opens an external URL in a new window: On adaptive FEM and BEM for indefinite and nonlinear problems, (Supervisor: D. Praetorius, opens an external URL in a new window, A. Bespalov, opens an external URL in a new window, T. Betcke, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2018, Examination: 24.04.2018. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
P. Schön: Scalable adaptive bisection algorithms on decomposed simplicial partitions for efficient discretizations of nonlinear partial differential equations, Supervisor: S. Bartels, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window, Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, 2017, Examination: 22.12.2017. [www], opens an external URL in a new window
G. Gantner, opens an external URL in a new window: Optimal adaptivity for splines in finite and boundary element methods, (Supervisor: D. Praetorius, opens an external URL in a new window, H. Harbrecht, D. Peterseim), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2017, Examination: 30.11.2017. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Ruggeri, opens an external URL in a new window: Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation, (Supervisor: D. Praetorius, opens an external URL in a new window, S. Bartels, opens an external URL in a new window, A. Jüngel), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2016, Examination: 22.11.2016. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
P. Shpartko: Analytical and Numerical Study of Drift-Diffusion Models for Spin-Transport in Semiconductors, Supervisor: A. Jüngel, C. Chainais-Hillairet, D. Praetorius, opens an external URL in a new window, Institute of Analysis and Scientific Computing, TU Wien 2016, Examination: 06.06.2016. [www], opens an external URL in a new window
A. Bantle: On High-Order NURBS-Based Boundary Element Methods in Two Dimensions: Numerical Integration and Implementation, (Supervisor: S. Funken, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2015, Examination: 03.07.2015. [www], opens an external URL in a new window
M. Feischl, opens an external URL in a new window: Rate optimality of adaptive algorithms, (Supervisor: D. Praetorius, opens an external URL in a new window, C. Carstensen, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2015, Examination: 24.04.2015. [www], opens an external URL in a new window
T. Führer, opens an external URL in a new window: Zur Kopplung von finiten Elementen und Randelementen, (Supervisor: D. Praetorius, opens an external URL in a new window, E. Stephan, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2014, Examination: 26.06.2014. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
M. Page, opens an external URL in a new window: On dynamical micromagnetism, (Supervisor: D. Praetorius, opens an external URL in a new window, L. Banas, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2013, Examination: 18.10.2013. [PDF], opens a file in a new window
M. Bantle, opens an external URL in a new window: On hp-boundary element methods for the Laplace operator in two dimensions, (Supervisor: S. Funken, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2013, Examination: 11.07.2013. [www], opens an external URL in a new window
F. Bruckner, opens an external URL in a new window: Multiscale simulation of magnetic nanostructures, (Supervisor: D. Süss, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Dissertation, Institute for Solid State Physics, 2013, Examination: 27.05.2013. [abstract], opens an external URL in a new window [PDF], opens an external URL in a new window
M. Karkulik, opens an external URL in a new window: Zur Konvergenz und Quasioptimalität adaptiver Randelementmethoden, (Supervisor: D. Praetorius, opens an external URL in a new window, J. Melenk, opens an external URL in a new window, S. Sauter, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 29.10.2012. [abstract], opens an external URL in a new window [PDF], opens a file in a new window
P. Goldenits, opens an external URL in a new window: Konvergente numerische Integration der Landau-Lifshitz-Gilbert Gleichung, (Supervisor: D. Praetorius, opens an external URL in a new window, D. Süss, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2012, Examination: 15.06.2012. [www], opens an external URL in a new window
M. Aurada: Mixed conforming elements for the large-body limit in micromagnetics, (Supervisor: J. Melenk, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window, C. Carstensen, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2011, Examination: 21.10.2011.
S. Ferraz-Leite, opens an external URL in a new window: Quadratic minimization with non-local operators and non-linear constraints, (Supervisor: D. Praetorius, opens an external URL in a new window, J. Melenk, opens an external URL in a new window, S. Bartels, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2011, Examination: 18.02.2011. [PDF], opens a file in a new window
C. Erath, opens an external URL in a new window: Coupling of the Finite Volume Method and the Boundary Element Method: Theory, Analysis, and Numerics, (Supervisor: S. Funken, opens an external URL in a new window, K. Urban, D. Praetorius, opens an external URL in a new window, H. Harbrecht), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2010, Examination: 21.07.2010. [www], opens an external URL in a new window
M. Spevak, opens an external URL in a new window: On the Specification and the Assembly of Discretized Differential Equations, (Supervisor: S. Selberherr, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Dissertation, Institut für Mikroelektronik, 2008, Examination: 03.03.2008. [abstract], opens an external URL in a new window [www], opens an external URL in a new window
J. Bojanic, opens an external URL in a new window: Numerical Analysis of the 1D Satellite Beam Equation, (Supervisor: C. Carstensen, opens an external URL in a new window, D. Praetorius, opens an external URL in a new window), Dissertation, Institute of Analysis and Scientific Computing, TU Wien, 2005. [PDF], opens a file in a new window