Dirk Praetorius

According to our database, Dirk Praetorius authored at least 91 papers between 2003 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2025

Energy minimization for skyrmions on planar thin films.

Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius, Valeriy V. Slastikov

CoRR, September, 2025

Global convergence of adaptive least-squares finite element methods for nonlinear PDEs.

Philipp Bringmann, Dirk Praetorius

CoRR, September, 2025

Convergence of adaptive boundary element methods driven by functional a posteriori error estimates.

Alexander Freiszlinger, Dirk Pauly, Dirk Praetorius

CoRR, June, 2025

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

Philipp Bringmann, Maximilian Brunner, Dirk Praetorius, Julian Streitberger

J. Num. Math., May, 2025

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs.

Maximilian Brunner, Dirk Praetorius, Julian Streitberger

Numerische Mathematik, April, 2025

Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM.

Alex Bespalov, Dirk Praetorius, Thomas Round, Andrey Savinov

SIAM/ASA J. Uncertain. Quantification, 2025

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

Philipp Bringmann, Michael Feischl, Ani Miraçi, Dirk Praetorius, Julian Streitberger

Comput. Math. Appl., 2025

2024

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

Michael Feischl, Dirk Praetorius, Michele Ruggeri

Comput. Methods Appl. Math., July, 2024

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

Michael Feischl, Dirk Praetorius, Michele Ruggeri

Comput. Methods Appl. Math., April, 2024

Iterative solvers in adaptive FEM.

Philipp Bringmann, Ani Miraçi, Dirk Praetorius

CoRR, 2024

Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs.

Ani Miraçi, Dirk Praetorius, Julian Streitberger

CoRR, 2024

2023

Plain convergence of goal-oriented adaptive FEM.

Valentin Helml, Michael Innerberger, Dirk Praetorius

Comput. Math. Appl., October, 2023

Goal-oriented adaptive finite element methods with optimal computational complexity.

Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius

Numerische Mathematik, 2023

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

Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri

Comput. Methods Appl. Math., 2023

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

Michael Innerberger, Dirk Praetorius

Appl. Math. Comput., 2023

2022

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

Roland Becker, Michael Innerberger, Dirk Praetorius

SIAM J. Numer. Anal., 2022

Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs.

Maximilian Brunner, Pascal Heid, Michael Innerberger, Ani Miraçi, Dirk Praetorius, Julian Streitberger

CoRR, 2022

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs.

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius

CoRR, 2022

Optimal computational costs of AFEM with optimal local hp-robust multigrid solver.

Michael Innerberger, Ani Miraçi, Dirk Praetorius, Julian Streitberger

CoRR, 2022

Goal-oriented adaptive multilevel stochastic Galerkin FEM.

Alex Bespalov, Dirk Praetorius, Michele Ruggeri

CoRR, 2022

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

Michael Innerberger, Dirk Praetorius

CoRR, 2022

Stable Implementation of Adaptive IGABEM in 2D in MATLAB.

Gregor Gantner, Dirk Praetorius, Stefan Schimanko

Comput. Methods Appl. Math., 2022

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

Gregor Gantner, Dirk Praetorius

Comput. Math. Appl., 2022

Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs.

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius

Comput. Math. Appl., 2022

2021

Functional a posteriori error estimates for boundary element methods.

Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian

Numerische Mathematik, 2021

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

Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík

Numerische Mathematik, 2021

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

Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko

Math. Comput., 2021

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

Markus Faustmann, Jens Markus Melenk, Dirk Praetorius

Math. Comput., 2021

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

Alex Bespalov, Dirk Praetorius, Michele Ruggeri

SIAM/ASA J. Uncertain. Quantification, 2021

Goal-oriented adaptive finite element method for semilinear elliptic PDEs.

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius

CoRR, 2021

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

Norbert J. Mauser, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri

CoRR, 2021

Mathematical foundations of adaptive isogeometric analysis.

Annalisa Buffa, Gregor Gantner, Carlotta Giannelli, Dirk Praetorius, Rafael Vázquez Hernández

CoRR, 2021

Accurate Benchmark Computations of the Polarizability Tensor for Characterising Small Conducting Inclusions.

A. A. S. Amad, Paul D. Ledger, Timo Betcke, Dirk Praetorius

CoRR, 2021

Reliable Methods of Mathematical Modeling.

Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter

Comput. Methods Appl. Math., 2021

Instance-Optimal Goal-Oriented Adaptivity.

Michael Innerberger, Dirk Praetorius

Comput. Methods Appl. Math., 2021

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

Pascal Heid, Dirk Praetorius, Thomas P. Wihler

Comput. Methods Appl. Math., 2021

Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional.

Roland Becker, Michael Innerberger, Dirk Praetorius

Comput. Methods Appl. Math., 2021

2020

Dörfler marking with minimal cardinality is a linear complexity problem.

Carl-Martin Pfeiler, Dirk Praetorius

Math. Comput., 2020

Computational micromagnetics with Commics.

Carl-Martin Pfeiler, Michele Ruggeri, Bernhard Stiftner, Lukas Exl, Matthias Hochsteger, Gino Hrkac, Joachim Schöberl, Norbert J. Mauser, Dirk Praetorius

Comput. Phys. Commun., 2020

Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction.

Elisa Davoli, Giovanni Di Fratta, Dirk Praetorius, Michele Ruggeri

CoRR, 2020

Plain convergence of adaptive algorithms without exploiting reliability and efficiency.

Gregor Gantner, Dirk Praetorius

CoRR, 2020

A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods.

Pascal Heid, Dirk Praetorius, Thomas P. Wihler

CoRR, 2020

Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM.

Alex Bespalov, Dirk Praetorius, Michele Ruggeri

CoRR, 2020

Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations.

Gregor Gantner, Dirk Praetorius

CoRR, 2020

A short note on plain convergence of adaptive least-squares finite element methods.

Thomas Führer, Dirk Praetorius

Comput. Math. Appl., 2020

Optimal convergence behavior of adaptive FEM driven by simple (h-h∕2)-type error estimators.

Christoph Erath, Gregor Gantner, Dirk Praetorius

Comput. Math. Appl., 2020

Adaptive IGAFEM with optimal convergence rates: T-splines.

Gregor Gantner, Dirk Praetorius

Comput. Aided Geom. Des., 2020

2019

Convergence of Adaptive Stochastic Galerkin FEM.

Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, Michele Ruggeri

SIAM J. Numer. Anal., 2019

Adaptive BEM with inexact PCG solver yields almost optimal computational costs.

Thomas Führer, Alexander Haberl, Dirk Praetorius, Stefan Schimanko

Numerische Mathematik, 2019

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

Johannes Kraus, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner

J. Comput. Phys., 2019

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

Timo Betcke, Alexander Haberl, Dirk Praetorius

J. Comput. Phys., 2019

Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics.

Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius

CoRR, 2019

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

Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan

CoRR, 2019

Adaptive isogeometric boundary element methods with local smoothness control.

Gregor Gantner, Dirk Praetorius, Stefan Schimanko

CoRR, 2019

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

Gino Hrkac, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Antonio Segatti, Bernhard Stiftner

Adv. Comput. Math., 2019

2018

Convergence of an implicit-explicit midpoint scheme for computational micromagnetics.

Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner

Comput. Math. Appl., 2018

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

Thomas Führer, Dirk Praetorius

Comput. Math. Appl., 2018

2017

Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations.

Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius

Numerische Mathematik, 2017

Local inverse estimates for non-local boundary integral operators.

Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius

Math. Comput., 2017

2016

An Abstract Analysis of Optimal Goal-Oriented Adaptivity.

Michael Feischl, Dirk Praetorius, Kristoffer G. van der Zee

SIAM J. Numer. Anal., 2016

Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates.

Christoph Erath, Dirk Praetorius

SIAM J. Numer. Anal., 2016

Adaptive boundary element methods for optimal convergence of point errors.

Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius, Thomas Führer

Numerische Mathematik, 2016

Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator.

Markus Faustmann, Jens Markus Melenk, Dirk Praetorius

Math. Comput., 2016

2015

Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems.

Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius

Numerische Mathematik, 2015

ℋ-matrix approximability of the inverses of FEM matrices.

Markus Faustmann, Jens Markus Melenk, Dirk Praetorius

Numerische Mathematik, 2015

FEM-BEM coupling for the large-body limit in micromagnetics.

Markus Aurada, Jens Markus Melenk, Dirk Praetorius

J. Comput. Appl. Math., 2015

Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes.

Thomas Führer, Jens Markus Melenk, Dirk Praetorius, Alexander Rieder

Comput. Math. Appl., 2015

2014

Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems.

Michael Feischl, Thomas Führer, Dirk Praetorius

SIAM J. Numer. Anal., 2014

HILBERT - a MATLAB implementation of adaptive 2D-BEM - HILBERT Is a Lovely Boundary Element Research Tool.

Markus Aurada, Michael Ebner, Michael Feischl, Samuel Ferraz-Leite, Thomas Führer, Petra Goldenits, Michael Karkulik, Markus Mayr, Dirk Praetorius

Numer. Algorithms, 2014

Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data.

Michael Feischl, Marcus Page, Dirk Praetorius

J. Comput. Appl. Math., 2014

Convergence of Adaptive BEM and Adaptive FEM-BEM Coupling for Estimators Without h-Weighting Factor.

Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl, Dirk Praetorius, Ernst P. Stephan

Comput. Methods Appl. Math., 2014

Axioms of adaptivity.

Carsten Carstensen, Michael Feischl, Marcus Page, Dirk Praetorius

Comput. Math. Appl., 2014

Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator.

Claas Abert, Gino Hrkac, Marcus Page, Dirk Praetorius, Michele Ruggeri, Dieter Suess

Comput. Math. Appl., 2014

2013

Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method.

Michael Feischl, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius

SIAM J. Numer. Anal., 2013

Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods.

Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius

Comput. Methods Appl. Math., 2013

2012

Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics.

Samuel Ferraz-Leite, Jens Markus Melenk, Dirk Praetorius

Numerische Mathematik, 2012

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy.

Carsten Carstensen, Dirk Praetorius

J. Num. Math., 2012

2011

On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems.

Christoph Ortner, Dirk Praetorius

SIAM J. Numer. Anal., 2011

Efficient implementation of adaptive P1-FEM in Matlab.

Stefan A. Funken, Dirk Praetorius, Philipp Wissgott

Comput. Methods Appl. Math., 2011

2010

Convergence of simple adaptive Galerkin schemes based on <i>h</i> - <i>h</i>/2 error estimators.

Samuel Ferraz-Leite, Christoph Ortner, Dirk Praetorius

Numerische Mathematik, 2010

Collocation methods for index 1 DAEs with a singularity of the first kind.

Othmar Koch, Roswitha März, Dirk Praetorius, Ewa Weinmüller

Math. Comput., 2010

2008

A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems.

Christoph Erath, Dirk Praetorius

SIAM J. Numer. Anal., 2008

Simple a posteriori error estimators for the <i>h</i>-version of the boundary element method.

Samuel Ferraz-Leite, Dirk Praetorius

Computing, 2008

2007

Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions.

Carsten Carstensen, Dirk Praetorius

SIAM J. Sci. Comput., 2007

2006

Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind.

Carsten Carstensen, Dirk Praetorius

SIAM J. Sci. Comput., 2006

2005

Numerical Analysis for a Macroscopic Model in Micromagnetics.

Carsten Carstensen, Dirk Praetorius

SIAM J. Numer. Anal., 2005

New a posteriori error estimates for singular boundary value problems.

Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller

Numer. Algorithms, 2005

Applications of <i>H</i> -Matrix Techniques in Micromagnetics.

Nikola Popovic, Dirk Praetorius

Computing, 2005

H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics.

Nikola Popovic, Dirk Praetorius

Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2004

Residual-based a posteriori error estimate for hypersingular equation on surfaces.

Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan

Numerische Mathematik, 2004

2003

A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind.

Carsten Carstensen, Dirk Praetorius

SIAM J. Sci. Comput., 2003