Dirk Praetorius

ORCID

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 78

Top Venues

CoRR

Comput. Math. Appl.

Comput. Methods Appl. Math.

Numerische Mathematik

Publications

Philipp Bringmann, Ani Miraçi, Dirk Praetorius
Iterative solvers in adaptive FEM. CoRR (2024)
Michael Feischl, Dirk Praetorius, Michele Ruggeri
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2). Comput. Methods Appl. Math. 24 (3) (2024)
Michael Feischl, Dirk Praetorius, Michele Ruggeri
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1). Comput. Methods Appl. Math. 24 (2) (2024)
Ani Miraçi, Dirk Praetorius, Julian Streitberger
Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs. CoRR (2024)
Alex Bespalov, Dirk Praetorius, Thomas Round, Andrey Savinov
Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM. CoRR (2024)
Maximilian Brunner, Dirk Praetorius, Julian Streitberger
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs. CoRR (2024)
Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
Goal-oriented adaptive finite element methods with optimal computational complexity. Numerische Mathematik 153 (1) (2023)
Valentin Helml, Michael Innerberger, Dirk Praetorius
Plain convergence of goal-oriented adaptive FEM. Comput. Math. Appl. 147 (2023)
Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri
The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics. Comput. Methods Appl. Math. 23 (1) (2023)
Michael Innerberger, Dirk Praetorius
MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. Appl. Math. Comput. 442 (2023)
Philipp Bringmann, Michael Feischl, Ani Miraçi, Dirk Praetorius, Julian Streitberger
On full linear convergence and optimal complexity of adaptive FEM with inexact solver. CoRR (2023)
Philipp Bringmann, Maximilian Brunner, Dirk Praetorius, Julian Streitberger
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. CoRR (2023)
Roland Becker, Michael Innerberger, Dirk Praetorius
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems. SIAM J. Numer. Anal. 60 (3) (2022)
Gregor Gantner, Dirk Praetorius
Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Comput. Math. Appl. 117 (2022)
Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. CoRR (2022)
Valentin Helml, Michael Innerberger, Dirk Praetorius
Plain convergence of goal-oriented adaptive FEM. CoRR (2022)
Alex Bespalov, Dirk Praetorius, Michele Ruggeri
Goal-oriented adaptive multilevel stochastic Galerkin FEM. CoRR (2022)
Michael Innerberger, Dirk Praetorius
MooAFEM: An object oriented Matlab code for higher-order (nonlinear) adaptive FEM. CoRR (2022)
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
Stable Implementation of Adaptive IGABEM in 2D in MATLAB. Comput. Methods Appl. Math. 22 (3) (2022)
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
Stable implementation of adaptive IGABEM in 2D in MATLAB. CoRR (2022)
Maximilian Brunner, Pascal Heid, Michael Innerberger, Ani Miraçi, Dirk Praetorius, Julian Streitberger
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs. CoRR (2022)
Michael Innerberger, Ani Miraçi, Dirk Praetorius, Julian Streitberger
Optimal computational costs of AFEM with optimal local hp-robust multigrid solver. CoRR (2022)
Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Comput. Math. Appl. 118 (2022)
Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri
The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics. CoRR (2022)
Roland Becker, Michael Innerberger, Dirk Praetorius
Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. CoRR (2021)
Michael Innerberger, Dirk Praetorius
Instance-Optimal Goal-Oriented Adaptivity. Comput. Methods Appl. Math. 21 (1) (2021)
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Math. Comput. 90 (330) (2021)
Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Numerische Mathematik 147 (3) (2021)
Annalisa Buffa, Gregor Gantner, Carlotta Giannelli, Dirk Praetorius, Rafael Vázquez Hernández
Mathematical foundations of adaptive isogeometric analysis. CoRR (2021)
Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko
Rate optimality of adaptive finite element methods with respect to overall computational costs. Math. Comput. 90 (331) (2021)
Alex Bespalov, Dirk Praetorius, Michele Ruggeri
Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method. SIAM/ASA J. Uncertain. Quantification 9 (3) (2021)
A. A. S. Amad, Paul D. Ledger, Timo Betcke, Dirk Praetorius
Accurate Benchmark Computations of the Polarizability Tensor for Characterising Small Conducting Inclusions. CoRR (2021)
Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
Goal-oriented adaptive finite element method for semilinear elliptic PDEs. CoRR (2021)
Pascal Heid, Dirk Praetorius, Thomas P. Wihler
Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods. Comput. Methods Appl. Math. 21 (2) (2021)
Gregor Gantner, Dirk Praetorius
Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. CoRR (2021)
Roland Becker, Michael Innerberger, Dirk Praetorius
Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. Comput. Methods Appl. Math. 21 (2) (2021)
Norbert J. Mauser, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics. CoRR (2021)
Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian
Functional a posteriori error estimates for boundary element methods. Numerische Mathematik 147 (4) (2021)
Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
Goal-oriented adaptive finite element methods with optimal computational complexity. CoRR (2021)
Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter
Reliable Methods of Mathematical Modeling. Comput. Methods Appl. Math. 21 (2) (2021)
Thomas Führer, Dirk Praetorius
A short note on plain convergence of adaptive least-squares finite element methods. CoRR (2020)
Gregor Gantner, Dirk Praetorius
Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations. CoRR (2020)
Christoph Erath, Gregor Gantner, Dirk Praetorius
Optimal convergence behavior of adaptive FEM driven by simple (h-h∕2)-type error estimators. Comput. Math. Appl. 79 (3) (2020)
Carl-Martin Pfeiler, Dirk Praetorius
Dörfler marking with minimal cardinality is a linear complexity problem. Math. Comput. 89 (326) (2020)
Gregor Gantner, Dirk Praetorius
Plain convergence of adaptive algorithms without exploiting reliability and efficiency. CoRR (2020)
Pascal Heid, Dirk Praetorius, Thomas P. Wihler
A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods. CoRR (2020)
Gregor Gantner, Dirk Praetorius
Adaptive IGAFEM with optimal convergence rates: T-splines. Comput. Aided Geom. Des. 81 (2020)
Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. CoRR (2020)
Thomas Führer, Dirk Praetorius
A short note on plain convergence of adaptive least-squares finite element methods. Comput. Math. Appl. 80 (6) (2020)
Alex Bespalov, Dirk Praetorius, Michele Ruggeri
Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM. CoRR (2020)
Roland Becker, Michael Innerberger, Dirk Praetorius
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. CoRR (2020)
Carl-Martin Pfeiler, Michele Ruggeri, Bernhard Stiftner, Lukas Exl, Matthias Hochsteger, Gino Hrkac, Joachim Schöberl, Norbert J. Mauser, Dirk Praetorius
Computational micromagnetics with Commics. Comput. Phys. Commun. 248 (2020)
Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko
Rate optimality of adaptive finite element methods with respect to the overall computational costs. CoRR (2020)
Elisa Davoli, Giovanni Di Fratta, Dirk Praetorius, Michele Ruggeri
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. CoRR (2020)
Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. CoRR (2019)
Timo Betcke, Alexander Haberl, Dirk Praetorius
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. J. Comput. Phys. 397 (2019)
Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan
The saturation assumption yields optimal convergence of two-level adaptive BEM. CoRR (2019)
Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, Michele Ruggeri
Convergence of Adaptive Stochastic Galerkin FEM. SIAM J. Numer. Anal. 57 (5) (2019)
Gino Hrkac, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Antonio Segatti, Bernhard Stiftner
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Adv. Comput. Math. 45 (3) (2019)
Carl-Martin Pfeiler, Dirk Praetorius
Dörfler marking with minimal cardinality is a linear complexity problem. CoRR (2019)
Gregor Gantner, Dirk Praetorius
Adaptive IGAFEM with optimal convergence rates: T-splines. CoRR (2019)
Gregor Gantner, Dirk Praetorius, Stefan Schimanko
Adaptive isogeometric boundary element methods with local smoothness control. CoRR (2019)
Thomas Führer, Alexander Haberl, Dirk Praetorius, Stefan Schimanko
Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Numerische Mathematik 141 (4) (2019)
Johannes Kraus, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. J. Comput. Phys. 398 (2019)
Michael Innerberger, Dirk Praetorius
Instance-optimal goal-oriented adaptivity. CoRR (2019)
Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian
Functional a posteriori error estimates for boundary element methods. CoRR (2019)
Thomas Führer, Dirk Praetorius
A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. Comput. Math. Appl. 75 (8) (2018)
Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Comput. Math. Appl. 75 (5) (2018)
Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius
Local inverse estimates for non-local boundary integral operators. Math. Comput. 86 (308) (2017)
Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. Numerische Mathematik 136 (1) (2017)
Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius, Thomas Führer
Adaptive boundary element methods for optimal convergence of point errors. Numerische Mathematik 132 (3) (2016)
Michael Feischl, Dirk Praetorius, Kristoffer G. van der Zee
An Abstract Analysis of Optimal Goal-Oriented Adaptivity. SIAM J. Numer. Anal. 54 (3) (2016)
Christoph Erath, Dirk Praetorius
Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates. SIAM J. Numer. Anal. 54 (4) (2016)
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator. Math. Comput. 85 (297) (2016)
Markus Aurada, Jens Markus Melenk, Dirk Praetorius
FEM-BEM coupling for the large-body limit in micromagnetics. J. Comput. Appl. Math. 281 (2015)
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
ℋ-matrix approximability of the inverses of FEM matrices. Numerische Mathematik 131 (4) (2015)
Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Numerische Mathematik 130 (2) (2015)
Thomas Führer, Jens Markus Melenk, Dirk Praetorius, Alexander Rieder
Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes. Comput. Math. Appl. 70 (7) (2015)
Michael Feischl, Thomas Führer, Dirk Praetorius
Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems. SIAM J. Numer. Anal. 52 (2) (2014)
Michael Feischl, Marcus Page, Dirk Praetorius
Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data. J. Comput. Appl. Math. 255 (2014)
Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl, Dirk Praetorius, Ernst P. Stephan
Convergence of Adaptive BEM and Adaptive FEM-BEM Coupling for Estimators Without h-Weighting Factor. Comput. Methods Appl. Math. 14 (4) (2014)
Carsten Carstensen, Michael Feischl, Marcus Page, Dirk Praetorius
Axioms of adaptivity. Comput. Math. Appl. 67 (6) (2014)
Markus Aurada, Michael Ebner, Michael Feischl, Samuel Ferraz-Leite, Thomas Führer, Petra Goldenits, Michael Karkulik, Markus Mayr, Dirk Praetorius
HILBERT - a MATLAB implementation of adaptive 2D-BEM - HILBERT Is a Lovely Boundary Element Research Tool. Numer. Algorithms 67 (1) (2014)
Claas Abert, Gino Hrkac, Marcus Page, Dirk Praetorius, Michele Ruggeri, Dieter Suess
Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator. Comput. Math. Appl. 68 (6) (2014)
Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius
Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods. Comput. Methods Appl. Math. 13 (3) (2013)
Michael Feischl, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius
Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method. SIAM J. Numer. Anal. 51 (2) (2013)
Carsten Carstensen, Dirk Praetorius
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. J. Num. Math. 20 (2) (2012)
Samuel Ferraz-Leite, Jens Markus Melenk, Dirk Praetorius
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Numerische Mathematik 122 (1) (2012)
Stefan A. Funken, Dirk Praetorius, Philipp Wissgott
Efficient implementation of adaptive P1-FEM in Matlab. Comput. Methods Appl. Math. 11 (4) (2011)
Christoph Ortner, Dirk Praetorius
On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems. SIAM J. Numer. Anal. 49 (1) (2011)
Samuel Ferraz-Leite, Christoph Ortner, Dirk Praetorius
/2 error estimators. Numerische Mathematik 116 (2) (2010)
Othmar Koch, Roswitha März, Dirk Praetorius, Ewa Weinmüller
Collocation methods for index 1 DAEs with a singularity of the first kind. Math. Comput. 79 (269) (2010)
Samuel Ferraz-Leite, Dirk Praetorius
-version of the boundary element method. Computing 83 (4) (2008)
Christoph Erath, Dirk Praetorius
A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems. SIAM J. Numer. Anal. 47 (1) (2008)
Carsten Carstensen, Dirk Praetorius
Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions. SIAM J. Sci. Comput. 29 (2) (2007)
Carsten Carstensen, Dirk Praetorius
Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind. SIAM J. Sci. Comput. 27 (4) (2006)
Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller
New a posteriori error estimates for singular boundary value problems. Numer. Algorithms 40 (1) (2005)
Nikola Popovic, Dirk Praetorius
-Matrix Techniques in Micromagnetics. Computing 74 (3) (2005)
Carsten Carstensen, Dirk Praetorius
Numerical Analysis for a Macroscopic Model in Micromagnetics. SIAM J. Numer. Anal. 42 (6) (2005)
Nikola Popovic, Dirk Praetorius
H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics. LSSC (2005)

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Publication Activity (10 Years)

Top Topics

Top Venues

Dirk Praetorius