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boundary element method (bem), finite element method (fem), a posteriori error estimation, optimal adaptive strategies, compression of discrete integral operators (e.g., hierarchical matrices, fmm), computational micromagnetics
Austria

Activities

Employment (6)

TU Wien: Vienna, AT

Employment
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TU Wien

TU Wien: Vienna, AT

2020-03-01 to present | Head of Institute of Analysis and Scientific Computing (Institute of Analysis and Scientific Computing)
Employment
Source: Self-asserted source
Dirk Praetorius

TU Wien: Vienna, AT

2017-02-01 to present | Professor of Numerics of PDEs (Institute of Analysis and Scientific Computing)
Employment
Source: Self-asserted source
Dirk Praetorius

TU Wien: Vienna, AT

2005-03-01 to 2017-01-31 | Associate Professor (Institute of Analysis and Scientific Computing)
Employment
Source: Self-asserted source
Dirk Praetorius

TU Wien: Vienna, AT

2001-01-09 to 2005-02-01 | Assistant Professor (Institute for Applied and Numerical Mathematics)
Employment
Source: Self-asserted source
Dirk Praetorius

University of Kiel: Kiel, DE

2000-02-01 to 2001-08-31 | Research Assistant (Chair of Scientific Computing)
Employment
Source: Self-asserted source
Dirk Praetorius

Education and qualifications (4)

TU Wien: Vienna, AT

2005-01 | Priv.Doz. | Habilitation for Numerical Mathematics (Institute of Analysis and Scientific Computing)
Education
Source: Self-asserted source
Dirk Praetorius

TU Wien: Vienna, AT

2001-09-01 to 2003-04-01 | Dr.techn. (Institute for Applied and Numerical Analysis)
Education
Source: Self-asserted source
Dirk Praetorius

University of Kiel: Kiel, DE

1993-10-01 to 2000-06-01 | Dipl.-Math. (Department of Mathematics)
Education
Source: Self-asserted source
Dirk Praetorius

University of Kiel: Kiel, DE

1993-10-01 to 2000-01-01 | Teacher of Mathematics and Latin (Department of Mathematics)
Education
Source: Self-asserted source
Dirk Praetorius

Funding (14)

Taming complexity in complex PDE systems

2021-03 to 2025-02 | Grant
Austrian Science Fund (Wien, AT)
GRANT_NUMBER:

F65 (second funding period)

Source: Self-asserted source
Dirk Praetorius

Computational nonlinear PDEs

2020-03-09 to present | Grant
FWF Austrian Science Fund (Vienna, AT)
GRANT_NUMBER: P 33216
Source: Self-asserted source
Dirk Praetorius via DimensionsWizard

Novel mathematics and numerical methods for ferromagnetic problems

2019-01-01 to 2021-12-31 | Grant
Australian Research Council (Canberra, AU)
GRANT_NUMBER: DP190101197
Source: Self-asserted source
Dirk Praetorius via DimensionsWizard

Dissipation and dispersion in nonlinear partial differential equations

2017-03 to 2021-02 | Grant
Austrian Science Fund (Wien, AT)
Part of GRANT_NUMBER: W1245 (second funding period)
Source: Self-asserted source
Dirk Praetorius

Taming complexity in complex PDE systems

2017-03 to 2021-02 | Grant
Austrian Science Fund (Wien, AT)
Part of GRANT_NUMBER: F65
Source: Self-asserted source
Dirk Praetorius

Optimal isogeometric boundary element methods

2016-08-01 to 2019-07-31 | Grant
FWF Austrian Science Fund (Vienna, AT)
GRANT_NUMBER: P 29096
Source: Self-asserted source
Dirk Praetorius via DimensionsWizard

Thermally controlled magnetization dynamics

2015-01 to 2018-09 | Grant
Vienna Science and Technology Fund (Wien, AT)
Part of GRANT_NUMBER: MA14-44
Source: Self-asserted source
Dirk Praetorius

Optimal adaptivity for BEM and FEM-BEM coupling

2014-08-01 to 2019-07-31 | Grant
FWF Austrian Science Fund (Vienna, AT)
GRANT_NUMBER: P 27005
Source: Self-asserted source
Dirk Praetorius via DimensionsWizard

Reliable and efficient numerical integration of the Landau-Lifshitz-Gilbert equation in micromagnetics

2014-04 to 2016-10 | Grant
TU Wien (Wien, AT)
Source: Self-asserted source
Dirk Praetorius

Dissipation and dispersion in nonlinear partial differential equations

2013-03 to 2017-02 | Grant
Austrian Science Fund (Wien, AT)
Part of GRANT_NUMBER: W1245 (first funding period)
Source: Self-asserted source
Dirk Praetorius

Effective numerical methods for the Johnson-Nedelec coupling of FEM and BEM

2011-08 to 2014-07 | Grant
TU Wien (Wien, AT)
Source: Self-asserted source
Dirk Praetorius

Micromagnetic simulation and computational design of future devices

2010-04 to 2013-12 | Grant
Vienna Science and Technology Fund (Wien, AT)
Part of GRANT_NUMBER: MA09-29
Source: Self-asserted source
Dirk Praetorius

Adaptive Boundary Element Method

2009-08-01 to 2014-07-31 | Grant
FWF Austrian Science Fund (Vienna, AT)
GRANT_NUMBER: P 21732
Source: Self-asserted source
Dirk Praetorius via DimensionsWizard

Partial differential equations in technical systems

2008-10 to 2012-04 | Grant
TU Wien (Wien, AT)
Part of GRANT_NUMBER: pdetech
Source: Self-asserted source
Dirk Praetorius

Works (50 of 158)

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On full linear convergence and optimal complexity of adaptive FEM with inexact solver

Computers & Mathematics with Applications
2025-02 | Journal article
Contributors: Philipp Bringmann; Michael Feischl; Ani Miraçi; Dirk Praetorius; Julian Streitberger
Source: check_circle
Crossref

Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs

Journal of Numerical Mathematics
2024-11-04 | Journal article
Contributors: Philipp Bringmann; Maximilian Brunner; Dirk Praetorius; Julian Streitberger
Source: check_circle
Crossref

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)

Computational Methods in Applied Mathematics
2024-07-01 | Journal article
Contributors: Michael Feischl; Dirk Praetorius; Michele Ruggeri
Source: check_circle
Crossref

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1)

Computational Methods in Applied Mathematics
2024-04-01 | Journal article
Contributors: Michael Feischl; Dirk Praetorius; Michele Ruggeri
Source: check_circle
Crossref

hp-Robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs

ESAIM: Mathematical Modelling and Numerical Analysis
2024-01 | Journal article
Contributors: Michael Innerberger; Ani Miraçi; Dirk Praetorius; Julian Streitberger
Source: check_circle
Crossref

Corrigendum to: Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs

2023-11-29 | Other
Contributors: Maximilian Brunner; Michael Innerberger; Ani Miraçi; Dirk Praetorius; Julian Streitberger; Pascal Heid
Source: check_circle
Crossref

Plain convergence of goal-oriented adaptive FEM

Computers & Mathematics with Applications
2023-10 | Journal article
Contributors: Valentin Helml; Michael Innerberger; Dirk Praetorius
Source: check_circle
Crossref

MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs

Applied Mathematics and Computation
2023-04 | Journal article
Contributors: Michael Innerberger; Dirk Praetorius
Source: check_circle
Crossref

Spin-diffusion model for micromagnetics in the limit of long times

Journal of Differential Equations
2023-01 | Journal article
Contributors: Giovanni Di Fratta; Ansgar Jüngel; Dirk Praetorius; Valeriy Slastikov
Source: check_circle
Crossref

The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics

Computational Methods in Applied Mathematics
2023-01-01 | Journal article
Contributors: Giovanni Di Fratta; Carl-Martin Pfeiler; Dirk Praetorius; Michele Ruggeri
Source: check_circle
Crossref

Benchmark computations for the polarization tensor characterization of small conducting objects

Applied Mathematical Modelling
2022-11 | Journal article
Contributors: A.A.S. Amad; P.D. Ledger; T. Betcke; D. Praetorius
Source: check_circle
Crossref

Mathematical Foundations of Adaptive Isogeometric Analysis

Archives of Computational Methods in Engineering
2022-11 | Journal article
Contributors: Annalisa Buffa; Gregor Gantner; Carlotta Giannelli; Dirk Praetorius; Rafael Vázquez
Source: check_circle
Crossref

Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics

Applied Numerical Mathematics
2022-10 | Journal article
Contributors: Norbert J. Mauser; Carl-Martin Pfeiler; Dirk Praetorius; Michele Ruggeri
Source: check_circle
Crossref

Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations

Computers & Mathematics with Applications
2022-07 | Journal article
Contributors: Gregor Gantner; Dirk Praetorius
Source: check_circle
Crossref

Stable Implementation of Adaptive IGABEM in 2D in MATLAB

Computational Methods in Applied Mathematics
2022-07-01 | Journal article
Contributors: Gregor Gantner; Dirk Praetorius; Stefan Schimanko
Source: check_circle
Crossref

Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems

SIAM Journal on Numerical Analysis
2022-06 | Journal article
Contributors: Roland Becker; Michael Innerberger; Dirk Praetorius
Source: check_circle
Crossref

Magnetostatics and micromagnetics with physics informed neural networks

Journal of Magnetism and Magnetic Materials
2022-04 | Journal article
Contributors: Alexander Kovacs; Lukas Exl; Alexander Kornell; Johann Fischbacher; Markus Hovorka; Markus Gusenbauer; Leoni Breth; Harald Oezelt; Dirk Praetorius; Dieter Suess et al.
Source: check_circle
Crossref

Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations

Applicable Analysis
2022-04-13 | Journal article
Contributors: Gregor Gantner; Dirk Praetorius
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Full-spin-wave-scaled stochastic micromagnetism for mesh-independent simulations of ferromagnetic resonance and reversal

npj Computational Materials
2022-03-08 | Journal article
Contributors: Harald Oezelt; Luman Qu; Alexander Kovacs; Johann Fischbacher; Markus Gusenbauer; Roman Beigelbeck; Dirk Praetorius; Masao Yano; Tetsuya Shoji; Akira Kato et al.
Source: check_circle
Crossref

Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver

Numerische Mathematik
2021 | Journal article
EID:

2-s2.0-85100519416

Part of ISSN: 09453245 0029599X
Contributors: Haberl, A.; Praetorius, D.; Schimanko, S.; Vohralík, M.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Functional a posteriori error estimates for boundary element methods

Numerische Mathematik
2021 | Journal article
EID:

2-s2.0-85103071758

Part of ISSN: 09453245 0029599X
Contributors: Kurz, S.; Pauly, D.; Praetorius, D.; Repin, S.; Sebastian, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Instance-optimal goal-oriented adaptivity

Computational Methods in Applied Mathematics
2021 | Journal article
EID:

2-s2.0-85081387032

Part of ISSN: 16099389 16094840
Contributors: Innerberger, M.; Praetorius, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Optimal convergence rates for goal-oriented FEM with quadratic goal functional

Computational Methods in Applied Mathematics
2021 | Journal article
EID:

2-s2.0-85095436855

Contributors: Becker, R.; Innerberger, M.; Praetorius, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Rate optimality of adaptive finite element methods with respect to overall computational costs

Mathematics of Computation
2021-06-15 | Journal article
Contributors: Gregor Gantner; Alexander Haberl; Dirk Praetorius; Stefan Schimanko
Source: check_circle
Crossref

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian

Mathematics of Computation
2021-04-02 | Journal article
Contributors: Markus Faustmann; Jens Markus Melenk; Dirk Praetorius
Source: check_circle
Crossref

Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods

Computational Methods in Applied Mathematics
2021-04-01 | Journal article
Contributors: Pascal Heid; Dirk Praetorius; Thomas P. Wihler
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Reliable Methods of Mathematical Modeling

Computational Methods in Applied Mathematics
2021-04-01 | Journal article
Contributors: Dirk Praetorius; Sergey Repin; Stefan A. Sauter
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method

SIAM/ASA Journal on Uncertainty Quantification
2021-01 | Journal article
Contributors: Alex Bespalov; Dirk Praetorius; Michele Ruggeri
Source: check_circle
Crossref

Adaptive IGAFEM with optimal convergence rates: T-splines

Computer Aided Geometric Design
2020 | Journal article
EID:

2-s2.0-85086144996

Part of ISSN: 01678396
Contributors: Gantner, G.; Praetorius, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Adaptive isogeometric boundary element methods with local smoothness control

Mathematical Models and Methods in Applied Sciences
2020 | Journal article
EID:

2-s2.0-85079245056

Part of ISSN: 02182025
Contributors: Gantner, G.; Praetorius, D.; Schimanko, S.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Computational micromagnetics with Commics

Computer Physics Communications
2020 | Journal article
EID:

2-s2.0-85072762539

Part of ISSN: 00104655
Contributors: Pfeiler, C.-M.; Ruggeri, M.; Stiftner, B.; Exl, L.; Hochsteger, M.; Hrkac, G.; Schöberl, J.; Mauser, N.J.; Praetorius, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

The saturation assumption yields optimal convergence of two-level adaptive BEM

Applied Numerical Mathematics
2020 | Journal article
EID:

2-s2.0-85078412686

Part of ISSN: 01689274
Contributors: Praetorius, D.; Ruggeri, M.; Stephan, E.P.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics

Nonlinear Analysis: Real World Applications
2020 | Journal article
EID:

2-s2.0-85081650873

Part of ISSN: 14681218
Contributors: Di Fratta, G.; Innerberger, M.; Praetorius, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation

IMA Journal of Numerical Analysis
2020-10-16 | Journal article
Contributors: Giovanni Di Fratta; Carl-Martin Pfeiler; Dirk Praetorius; Michele Ruggeri; Bernhard Stiftner
Source: check_circle
Crossref
grade
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A short note on plain convergence of adaptive least-squares finite element methods

Computers & Mathematics with Applications
2020-09 | Journal article
Contributors: Thomas Führer; Dirk Praetorius
Source: check_circle
Crossref
grade
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Dörfler marking with minimal cardinality is a linear complexity problem

Mathematics of Computation
2020-06-24 | Journal article
Contributors: Carl-Martin Pfeiler; Dirk Praetorius
Source: check_circle
Crossref
grade
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Optimal convergence behavior of adaptive FEM driven by simple (h−h∕2)-type error estimators

Computers & Mathematics with Applications
2020-02 | Journal article
Contributors: Christoph Erath; Gregor Gantner; Dirk Praetorius
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Adaptive BEM with inexact PCG solver yields almost optimal computational costs

Numerische Mathematik
2019 | Journal article
EID:

2-s2.0-85057894383

Contributors: Führer, T.; Haberl, A.; Praetorius, D.; Schimanko, S.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations

IMA Journal of Numerical Analysis
2019 | Journal article
EID:

2-s2.0-85072381080

Part of ISSN: 14643642 02724979
Contributors: Erath, C.; Praetorius, D.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics

Advances in Computational Mathematics
2019 | Journal article
EID:

2-s2.0-85064848603

Part of ISSN: 15729044 10197168
Contributors: Hrkac, G.; Pfeiler, C.-M.; Praetorius, D.; Ruggeri, M.; Segatti, A.; Stiftner, B.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs

Computer Methods in Applied Mechanics and Engineering
2019 | Journal article
EID:

2-s2.0-85058475419

Contributors: Bespalov, A.; Praetorius, D.; Rocchi, L.; Ruggeri, M.
Source: Self-asserted source
Dirk Praetorius via Scopus - Elsevier

Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics

Journal of Computational Physics
2019-12 | Journal article
Contributors: Johannes Kraus; Carl-Martin Pfeiler; Dirk Praetorius; Michele Ruggeri; Bernhard Stiftner
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra

Journal of Computational Physics
2019-11 | Journal article
Contributors: Timo Betcke; Alexander Haberl; Dirk Praetorius
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Adaptive Uzawa algorithm for the Stokes equation

ESAIM: Mathematical Modelling and Numerical Analysis
2019-11 | Journal article
Contributors: Giovanni Di Fratta; Thomas Führer; Gregor Gantner; Dirk Praetorius
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Optimal adaptivity for the SUPG finite element method

Computer Methods in Applied Mechanics and Engineering
2019-08 | Journal article
Contributors: Christoph Erath; Dirk Praetorius
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods

Computer Methods in Applied Mechanics and Engineering
2019-07 | Journal article
Contributors: Thomas Führer; Gregor Gantner; Dirk Praetorius; Stefan Schimanko
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Adaptive BEM with optimal convergence rates for the Helmholtz equation

Computer Methods in Applied Mechanics and Engineering
2019-04 | Journal article
Contributors: Alex Bespalov; Timo Betcke; Alexander Haberl; Dirk Praetorius
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Convergence of Adaptive Stochastic Galerkin FEM

SIAM Journal on Numerical Analysis
2019-01 | Journal article
Contributors: Alex Bespalov; Dirk Praetorius; Leonardo Rocchi; Michele Ruggeri
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems

Computers & Mathematics With Applications
2018 | Journal article
WOSUID:

WOS:000431162800005

Contributors: Fuhrer, Thomas; Praetorius, Dirk
Source: Self-asserted source
Dirk Praetorius via ResearcherID
grade
Preferred source (of 3)‎

Convergence of an implicit-explicit midpoint scheme for computational micromagnetics

Computers & Mathematics With Applications
2018 | Journal article
WOSUID:

WOS:000428095400016

Contributors: Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard
Source: Self-asserted source
Dirk Praetorius via ResearcherID
grade
Preferred source (of 2)‎
Items per page:
Page 1 of 4

Peer review (1 review for 1 publication/grant)

Review activity for Journal of scientific computing. (1)