Dirk Praetorius

Orcid: 0000-0002-1977-9830

Affiliations:
  • TU Wien, Vienna, Austria


According to our database1, Dirk Praetorius authored at least 88 papers between 2003 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2024
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2).
Comput. Methods Appl. Math., July, 2024

Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1).
Comput. Methods Appl. Math., April, 2024

Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM.
CoRR, 2024

Iterative solvers in adaptive FEM.
CoRR, 2024

Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs.
CoRR, 2024

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs.
CoRR, 2024

2023
Plain convergence of goal-oriented adaptive FEM.
Comput. Math. Appl., October, 2023

Goal-oriented adaptive finite element methods with optimal computational complexity.
Numerische Mathematik, 2023

Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs.
CoRR, 2023

On full linear convergence and optimal complexity of adaptive FEM with inexact solver.
CoRR, 2023

The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics.
Comput. Methods Appl. Math., 2023

MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs.
Appl. Math. Comput., 2023

2022
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems.
SIAM J. Numer. Anal., 2022

Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs.
CoRR, 2022

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs.
CoRR, 2022

Optimal computational costs of AFEM with optimal local hp-robust multigrid solver.
CoRR, 2022

Goal-oriented adaptive multilevel stochastic Galerkin FEM.
CoRR, 2022

MooAFEM: An object oriented Matlab code for higher-order (nonlinear) adaptive FEM.
CoRR, 2022

Stable Implementation of Adaptive IGABEM in 2D in MATLAB.
Comput. Methods Appl. Math., 2022

Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations.
Comput. Math. Appl., 2022

Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs.
Comput. Math. Appl., 2022

2021
Functional a posteriori error estimates for boundary element methods.
Numerische Mathematik, 2021

Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver.
Numerische Mathematik, 2021

Rate optimality of adaptive finite element methods with respect to overall computational costs.
Math. Comput., 2021

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian.
Math. Comput., 2021

Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method.
SIAM/ASA J. Uncertain. Quantification, 2021

Goal-oriented adaptive finite element method for semilinear elliptic PDEs.
CoRR, 2021

Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics.
CoRR, 2021

Mathematical foundations of adaptive isogeometric analysis.
CoRR, 2021

Accurate Benchmark Computations of the Polarizability Tensor for Characterising Small Conducting Inclusions.
CoRR, 2021

Reliable Methods of Mathematical Modeling.
Comput. Methods Appl. Math., 2021

Instance-Optimal Goal-Oriented Adaptivity.
Comput. Methods Appl. Math., 2021

Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods.
Comput. Methods Appl. Math., 2021

Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional.
Comput. Methods Appl. Math., 2021

2020
Dörfler marking with minimal cardinality is a linear complexity problem.
Math. Comput., 2020

Computational micromagnetics with Commics.
Comput. Phys. Commun., 2020

Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction.
CoRR, 2020

Plain convergence of adaptive algorithms without exploiting reliability and efficiency.
CoRR, 2020

A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods.
CoRR, 2020

Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM.
CoRR, 2020

Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations.
CoRR, 2020

A short note on plain convergence of adaptive least-squares finite element methods.
Comput. Math. Appl., 2020

Optimal convergence behavior of adaptive FEM driven by simple (h-h∕2)-type error estimators.
Comput. Math. Appl., 2020

Adaptive IGAFEM with optimal convergence rates: T-splines.
Comput. Aided Geom. Des., 2020

2019
Convergence of Adaptive Stochastic Galerkin FEM.
SIAM J. Numer. Anal., 2019

Adaptive BEM with inexact PCG solver yields almost optimal computational costs.
Numerische Mathematik, 2019

Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics.
J. Comput. Phys., 2019

Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra.
J. Comput. Phys., 2019

Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics.
CoRR, 2019

The saturation assumption yields optimal convergence of two-level adaptive BEM.
CoRR, 2019

Adaptive isogeometric boundary element methods with local smoothness control.
CoRR, 2019

Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics.
Adv. Comput. Math., 2019

2018
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics.
Comput. Math. Appl., 2018

A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems.
Comput. Math. Appl., 2018

2017
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations.
Numerische Mathematik, 2017

Local inverse estimates for non-local boundary integral operators.
Math. Comput., 2017

2016
An Abstract Analysis of Optimal Goal-Oriented Adaptivity.
SIAM J. Numer. Anal., 2016

Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates.
SIAM J. Numer. Anal., 2016

Adaptive boundary element methods for optimal convergence of point errors.
Numerische Mathematik, 2016

Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator.
Math. Comput., 2016

2015
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems.
Numerische Mathematik, 2015

ℋ-matrix approximability of the inverses of FEM matrices.
Numerische Mathematik, 2015

FEM-BEM coupling for the large-body limit in micromagnetics.
J. Comput. Appl. Math., 2015

Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes.
Comput. Math. Appl., 2015

2014
Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems.
SIAM J. Numer. Anal., 2014

HILBERT - a MATLAB implementation of adaptive 2D-BEM - HILBERT Is a Lovely Boundary Element Research Tool.
Numer. Algorithms, 2014

Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data.
J. Comput. Appl. Math., 2014

Convergence of Adaptive BEM and Adaptive FEM-BEM Coupling for Estimators Without h-Weighting Factor.
Comput. Methods Appl. Math., 2014

Axioms of adaptivity.
Comput. Math. Appl., 2014

Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator.
Comput. Math. Appl., 2014

2013
Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method.
SIAM J. Numer. Anal., 2013

Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods.
Comput. Methods Appl. Math., 2013

2012
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics.
Numerische Mathematik, 2012

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy.
J. Num. Math., 2012

2011
On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems.
SIAM J. Numer. Anal., 2011

Efficient implementation of adaptive P1-FEM in Matlab.
Comput. Methods Appl. Math., 2011

2010
Convergence of simple adaptive Galerkin schemes based on <i>h</i> - <i>h</i>/2 error estimators.
Numerische Mathematik, 2010

Collocation methods for index 1 DAEs with a singularity of the first kind.
Math. Comput., 2010

2008
A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems.
SIAM J. Numer. Anal., 2008

Simple a posteriori error estimators for the <i>h</i>-version of the boundary element method.
Computing, 2008

2007
Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions.
SIAM J. Sci. Comput., 2007

2006
Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind.
SIAM J. Sci. Comput., 2006

2005
Numerical Analysis for a Macroscopic Model in Micromagnetics.
SIAM J. Numer. Anal., 2005

New a posteriori error estimates for singular boundary value problems.
Numer. Algorithms, 2005

Applications of <i>H</i> -Matrix Techniques in Micromagnetics.
Computing, 2005

H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2004
Residual-based a posteriori error estimate for hypersingular equation on surfaces.
Numerische Mathematik, 2004

2003
A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind.
SIAM J. Sci. Comput., 2003


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