Dirk Praetorius

117 papers Journal 116Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity. CoRR Paula Hilbert, Ani Miraçi, Dirk Praetorius
2026	J	`jnl`	Goal-Oriented Adaptivity for Multilevel Stochastic Galerkin FEM with Nonlinear Goal Functionals. SIAM J. Sci. Comput. Alex Bespalov, Dirk Praetorius, Michele Ruggeri
2026	J	`jnl`	Minimum residual discretization of a semilinear elliptic problem. CoRR Carlos García Vera, Norbert Heuer, Dirk Praetorius
2026	J	`jnl`	Multigoal-oriented adaptive finite element method with convergence rates. CoRR Roland Becker, Maximilian Brunner, Paula Hilbert, Michael Innerberger, Dirk Praetorius
2026	J	`jnl`	New a posteriori error estimates for full-space transmission problems. CoRR Alexander Freiszlinger, Dirk Pauly, Dirk Praetorius, Michael Schomburg
2026	J	`jnl`	Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methods. CoRR Philipp Bringmann, Christoph Lietz, Dirk Praetorius
2025	J	`jnl`	BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics, part I: unconditional weak convergence to weak solutions. CoRR Michele Aldé, Michael Feischl, Dirk Praetorius
2025	J	`jnl`	Convergence of adaptive boundary element methods driven by functional a posteriori error estimates. CoRR Alexander Freiszlinger, Dirk Pauly, Dirk Praetorius
2025	J	`jnl`	Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs. Numerische Mathematik Maximilian Brunner, Dirk Praetorius, Julian Streitberger
2025	J	`jnl`	Energy minimization for skyrmions on planar thin films. CoRR Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius, Valeriy V. Slastikov
2025	J	`jnl`	Global convergence of adaptive least-squares finite element methods for nonlinear PDEs. CoRR Philipp Bringmann, Dirk Praetorius
2025	J	`jnl`	Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM. SIAM/ASA J. Uncertain. Quantification Alex Bespalov, Dirk Praetorius, Thomas Round, Andrey Savinov
2025	J	`jnl`	Newton's method in adaptive iteratively linearized FEM. CoRR Philipp Bringmann, Maximilian Brunner, Dirk Praetorius
2025	J	`jnl`	On full linear convergence and optimal complexity of adaptive FEM with inexact solver. Comput. Math. Appl. Philipp Bringmann, Michael Feischl, Ani Miraçi, Dirk Praetorius, Julian Streitberger
2025	J	`jnl`	Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. J. Num. Math. Philipp Bringmann, Maximilian Brunner, Dirk Praetorius, Julian Streitberger
2024	J	`jnl`	Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1). Comput. Methods Appl. Math. Michael Feischl, Dirk Praetorius, Michele Ruggeri
2024	J	`jnl`	Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2). Comput. Methods Appl. Math. Michael Feischl, Dirk Praetorius, Michele Ruggeri
2024	J	`jnl`	Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs. CoRR Maximilian Brunner, Dirk Praetorius, Julian Streitberger
2024	J	`jnl`	Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM. CoRR Alex Bespalov, Dirk Praetorius, Thomas Round, Andrey Savinov
2024	J	`jnl`	Iterative solvers in adaptive FEM. CoRR Philipp Bringmann, Ani Miraçi, Dirk Praetorius
2024	J	`jnl`	Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs. CoRR Ani Miraçi, Dirk Praetorius, Julian Streitberger
2023	J	`jnl`	Goal-oriented adaptive finite element methods with optimal computational complexity. Numerische Mathematik Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
2023	J	`jnl`	MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. Appl. Math. Comput. Michael Innerberger, Dirk Praetorius
2023	J	`jnl`	On full linear convergence and optimal complexity of adaptive FEM with inexact solver. CoRR Philipp Bringmann, Michael Feischl, Ani Miraçi, Dirk Praetorius, Julian Streitberger
2023	J	`jnl`	Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs. CoRR Philipp Bringmann, Maximilian Brunner, Dirk Praetorius, Julian Streitberger
2023	J	`jnl`	Plain convergence of goal-oriented adaptive FEM. Comput. Math. Appl. Valentin Helml, Michael Innerberger, Dirk Praetorius
2023	J	`jnl`	The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics. Comput. Methods Appl. Math. Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri
2022	J	`jnl`	Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Comput. Math. Appl. Gregor Gantner, Dirk Praetorius
2022	J	`jnl`	Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems. SIAM J. Numer. Anal. Roland Becker, Michael Innerberger, Dirk Praetorius
2022	J	`jnl`	Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs. CoRR Maximilian Brunner, Pascal Heid, Michael Innerberger, Ani Miraçi, Dirk Praetorius, Julian Streitberger
2022	J	`jnl`	Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. CoRR Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
2022	J	`jnl`	Goal-oriented adaptive multilevel stochastic Galerkin FEM. CoRR Alex Bespalov, Dirk Praetorius, Michele Ruggeri
2022	J	`jnl`	MooAFEM: An object oriented Matlab code for higher-order (nonlinear) adaptive FEM. CoRR Michael Innerberger, Dirk Praetorius
2022	J	`jnl`	Optimal computational costs of AFEM with optimal local hp-robust multigrid solver. CoRR Michael Innerberger, Ani Miraçi, Dirk Praetorius, Julian Streitberger
2022	J	`jnl`	Plain convergence of goal-oriented adaptive FEM. CoRR Valentin Helml, Michael Innerberger, Dirk Praetorius
2022	J	`jnl`	Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Comput. Math. Appl. Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
2022	J	`jnl`	Stable Implementation of Adaptive IGABEM in 2D in MATLAB. Comput. Methods Appl. Math. Gregor Gantner, Dirk Praetorius, Stefan Schimanko
2022	J	`jnl`	Stable implementation of adaptive IGABEM in 2D in MATLAB. CoRR Gregor Gantner, Dirk Praetorius, Stefan Schimanko
2022	J	`jnl`	The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics. CoRR Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri
2021	J	`jnl`	Accurate Benchmark Computations of the Polarizability Tensor for Characterising Small Conducting Inclusions. CoRR A. A. S. Amad, Paul D. Ledger, Timo Betcke, Dirk Praetorius
2021	J	`jnl`	Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. CoRR Gregor Gantner, Dirk Praetorius
2021	J	`jnl`	Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. CoRR Roland Becker, Michael Innerberger, Dirk Praetorius
2021	J	`jnl`	Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Numerische Mathematik Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
2021	J	`jnl`	Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods. Comput. Methods Appl. Math. Pascal Heid, Dirk Praetorius, Thomas P. Wihler
2021	J	`jnl`	Functional a posteriori error estimates for boundary element methods. Numerische Mathematik Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian
2021	J	`jnl`	Goal-oriented adaptive finite element method for semilinear elliptic PDEs. CoRR Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
2021	J	`jnl`	Goal-oriented adaptive finite element methods with optimal computational complexity. CoRR Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
2021	J	`jnl`	Instance-Optimal Goal-Oriented Adaptivity. Comput. Methods Appl. Math. Michael Innerberger, Dirk Praetorius
2021	J	`jnl`	Mathematical foundations of adaptive isogeometric analysis. CoRR Annalisa Buffa, Gregor Gantner, Carlotta Giannelli, Dirk Praetorius, Rafael Vázquez Hernández
2021	J	`jnl`	Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. Comput. Methods Appl. Math. Roland Becker, Michael Innerberger, Dirk Praetorius
2021	J	`jnl`	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Math. Comput. Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
2021	J	`jnl`	Rate optimality of adaptive finite element methods with respect to overall computational costs. Math. Comput. Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko
2021	J	`jnl`	Reliable Methods of Mathematical Modeling. Comput. Methods Appl. Math. Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter
2021	J	`jnl`	Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method. SIAM/ASA J. Uncertain. Quantification Alex Bespalov, Dirk Praetorius, Michele Ruggeri
2021	J	`jnl`	Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics. CoRR Norbert J. Mauser, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri
2020	J	`jnl`	A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods. CoRR Pascal Heid, Dirk Praetorius, Thomas P. Wihler
2020	J	`jnl`	A short note on plain convergence of adaptive least-squares finite element methods. Comput. Math. Appl. Thomas Führer, Dirk Praetorius
2020	J	`jnl`	A short note on plain convergence of adaptive least-squares finite element methods. CoRR Thomas Führer, Dirk Praetorius
2020	J	`jnl`	Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations. CoRR Gregor Gantner, Dirk Praetorius
2020	J	`jnl`	Adaptive IGAFEM with optimal convergence rates: T-splines. Comput. Aided Geom. Des. Gregor Gantner, Dirk Praetorius
2020	J	`jnl`	Computational micromagnetics with Commics. Comput. Phys. Commun. Carl-Martin Pfeiler, Michele Ruggeri, Bernhard Stiftner, Lukas Exl, Matthias Hochsteger, Gino Hrkac, Joachim Schöberl, Norbert J. Mauser, Dirk Praetorius
2020	J	`jnl`	Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. CoRR Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
2020	J	`jnl`	Dörfler marking with minimal cardinality is a linear complexity problem. Math. Comput. Carl-Martin Pfeiler, Dirk Praetorius
2020	J	`jnl`	Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. CoRR Elisa Davoli, Giovanni Di Fratta, Dirk Praetorius, Michele Ruggeri
2020	J	`jnl`	Optimal convergence behavior of adaptive FEM driven by simple (h-h∕2)-type error estimators. Comput. Math. Appl. Christoph Erath, Gregor Gantner, Dirk Praetorius
2020	J	`jnl`	Optimal convergence rates for goal-oriented FEM with quadratic goal functional. CoRR Roland Becker, Michael Innerberger, Dirk Praetorius
2020	J	`jnl`	Plain convergence of adaptive algorithms without exploiting reliability and efficiency. CoRR Gregor Gantner, Dirk Praetorius
2020	J	`jnl`	Rate optimality of adaptive finite element methods with respect to the overall computational costs. CoRR Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko
2020	J	`jnl`	Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM. CoRR Alex Bespalov, Dirk Praetorius, Michele Ruggeri
2019	J	`jnl`	Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Numerische Mathematik Thomas Führer, Alexander Haberl, Dirk Praetorius, Stefan Schimanko
2019	J	`jnl`	Adaptive IGAFEM with optimal convergence rates: T-splines. CoRR Gregor Gantner, Dirk Praetorius
2019	J	`jnl`	Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. J. Comput. Phys. Timo Betcke, Alexander Haberl, Dirk Praetorius
2019	J	`jnl`	Adaptive isogeometric boundary element methods with local smoothness control. CoRR Gregor Gantner, Dirk Praetorius, Stefan Schimanko
2019	J	`jnl`	Convergence of Adaptive Stochastic Galerkin FEM. SIAM J. Numer. Anal. Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, Michele Ruggeri
2019	J	`jnl`	Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Adv. Comput. Math. Gino Hrkac, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Antonio Segatti, Bernhard Stiftner
2019	J	`jnl`	Dörfler marking with minimal cardinality is a linear complexity problem. CoRR Carl-Martin Pfeiler, Dirk Praetorius
2019	J	`jnl`	Functional a posteriori error estimates for boundary element methods. CoRR Stefan Kurz, Dirk Pauly, Dirk Praetorius, Sergey I. Repin, Daniel Sebastian
2019	J	`jnl`	Instance-optimal goal-oriented adaptivity. CoRR Michael Innerberger, Dirk Praetorius
2019	J	`jnl`	Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. J. Comput. Phys. Johannes Kraus, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
2019	J	`jnl`	The saturation assumption yields optimal convergence of two-level adaptive BEM. CoRR Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan
2019	J	`jnl`	Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. CoRR Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius
2018	J	`jnl`	A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. Comput. Math. Appl. Thomas Führer, Dirk Praetorius
2018	J	`jnl`	Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Comput. Math. Appl. Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
2017	J	`jnl`	Local inverse estimates for non-local boundary integral operators. Math. Comput. Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius
2017	J	`jnl`	Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. Numerische Mathematik Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius
2016	J	`jnl`	Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates. SIAM J. Numer. Anal. Christoph Erath, Dirk Praetorius
2016	J	`jnl`	Adaptive boundary element methods for optimal convergence of point errors. Numerische Mathematik Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius, Thomas Führer
2016	J	`jnl`	An Abstract Analysis of Optimal Goal-Oriented Adaptivity. SIAM J. Numer. Anal. Michael Feischl, Dirk Praetorius, Kristoffer G. van der Zee
2016	J	`jnl`	Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator. Math. Comput. Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
2015	J	`jnl`	FEM-BEM coupling for the large-body limit in micromagnetics. J. Comput. Appl. Math. Markus Aurada, Jens Markus Melenk, Dirk Praetorius
2015	J	`jnl`	Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes. Comput. Math. Appl. Thomas Führer, Jens Markus Melenk, Dirk Praetorius, Alexander Rieder
2015	J	`jnl`	Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems. Numerische Mathematik Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius
2015	J	`jnl`	ℋ-matrix approximability of the inverses of FEM matrices. Numerische Mathematik Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
2014	J	`jnl`	Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems. SIAM J. Numer. Anal. Michael Feischl, Thomas Führer, Dirk Praetorius
2014	J	`jnl`	Axioms of adaptivity. Comput. Math. Appl. Carsten Carstensen, Michael Feischl, Marcus Page, Dirk Praetorius
2014	J	`jnl`	Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data. J. Comput. Appl. Math. Michael Feischl, Marcus Page, Dirk Praetorius
2014	J	`jnl`	Convergence of Adaptive BEM and Adaptive FEM-BEM Coupling for Estimators Without h-Weighting Factor. Comput. Methods Appl. Math. Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl, Dirk Praetorius, Ernst P. Stephan
2014	J	`jnl`	HILBERT - a MATLAB implementation of adaptive 2D-BEM - HILBERT Is a Lovely Boundary Element Research Tool. Numer. Algorithms Markus Aurada, Michael Ebner, Michael Feischl, Samuel Ferraz-Leite, Thomas Führer, Petra Goldenits, Michael Karkulik, Markus Mayr, Dirk Praetorius
2014	J	`jnl`	Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator. Comput. Math. Appl. Claas Abert, Gino Hrkac, Marcus Page, Dirk Praetorius, Michele Ruggeri, Dieter Suess
2013	J	`jnl`	Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods. Comput. Methods Appl. Math. Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius
2013	J	`jnl`	Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method. SIAM J. Numer. Anal. Michael Feischl, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius
2012	J	`jnl`	Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Numerische Mathematik Samuel Ferraz-Leite, Jens Markus Melenk, Dirk Praetorius
2012	J	`jnl`	Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. J. Num. Math. Carsten Carstensen, Dirk Praetorius
2011	J	`jnl`	Efficient implementation of adaptive P1-FEM in Matlab. Comput. Methods Appl. Math. Stefan A. Funken, Dirk Praetorius, Philipp Wissgott
2011	J	`jnl`	On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems. SIAM J. Numer. Anal. Christoph Ortner, Dirk Praetorius
2010	J	`jnl`	Collocation methods for index 1 DAEs with a singularity of the first kind. Math. Comput. Othmar Koch, Roswitha März, Dirk Praetorius, Ewa Weinmüller
2010	J	`jnl`	Convergence of simple adaptive Galerkin schemes based on Numerische Mathematik Samuel Ferraz-Leite, Christoph Ortner, Dirk Praetorius
2008	J	`jnl`	A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems. SIAM J. Numer. Anal. Christoph Erath, Dirk Praetorius
2008	J	`jnl`	Simple a posteriori error estimators for the Computing Samuel Ferraz-Leite, Dirk Praetorius
2007	J	`jnl`	Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions. SIAM J. Sci. Comput. Carsten Carstensen, Dirk Praetorius
2006	J	`jnl`	Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind. SIAM J. Sci. Comput. Carsten Carstensen, Dirk Praetorius
2005	J	`jnl`	Applications of Computing Nikola Popovic, Dirk Praetorius
2005	—	`conf`	H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics. LSSC Nikola Popovic, Dirk Praetorius
2005	J	`jnl`	New a posteriori error estimates for singular boundary value problems. Numer. Algorithms Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller
2005	J	`jnl`	Numerical Analysis for a Macroscopic Model in Micromagnetics. SIAM J. Numer. Anal. Carsten Carstensen, Dirk Praetorius
2004	J	`jnl`	Residual-based a posteriori error estimate for hypersingular equation on surfaces. Numerische Mathematik Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan
2003	J	`jnl`	A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind. SIAM J. Sci. Comput. Carsten Carstensen, Dirk Praetorius