Dirk Praetorius

Dirk Praetorius

Technische Universität Wien

H-index: 35

Europe-Austria

About Dirk Praetorius

Dirk Praetorius, With an exceptional h-index of 35 and a recent h-index of 23 (since 2020), a distinguished researcher at Technische Universität Wien, specializes in the field of Numerical Analysis, Adaptive Algorithms, Finite Element Method, Boundary Element Method, Computational Micromagnetics.

His recent articles reflect a diverse array of research interests and contributions to the field:

Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs (JUN, 10.1093/imanum/drad039, 2023)

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

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

Iterative solvers in adaptive FEM

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

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

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

Adaptive FEM for linear elliptic PDEs: Optimal complexity

Dirk Praetorius Information

University

Position

Professor of Numerics of PDEs

Citations(all)

4029

Citations(since 2020)

2037

Cited By

2838

hIndex(all)

35

hIndex(since 2020)

23

i10Index(all)

105

i10Index(since 2020)

70

Email

University Profile Page

Technische Universität Wien

Google Scholar

View Google Scholar Profile

Dirk Praetorius Skills & Research Interests

Numerical Analysis

Adaptive Algorithms

Finite Element Method

Boundary Element Method

Computational Micromagnetics

Top articles of Dirk Praetorius

Title

Journal

Author(s)

Publication Date

Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs (JUN, 10.1093/imanum/drad039, 2023)

IMA JOURNAL OF NUMERICAL ANALYSIS

Maximilian Brunner

Michael Innerberger

Ani Miraci

Dirk Praetorius

Julian Streitberger

...

2024/1/17

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

IMA Journal of Numerical Analysis

Maximilian Brunner

Michael Innerberger

Ani Miraçi

Dirk Praetorius

Julian Streitberger

...

2024/1/17

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

arXiv preprint arXiv:2401.06486

Maximilian Brunner

Dirk Praetorius

Julian Streitberger

2024/1/12

Iterative solvers in adaptive FEM

arXiv preprint arXiv:2404.07126

Philipp Bringmann

Ani Miraçi

Dirk Praetorius

2024/4/10

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

ESAIM: Mathematical Modelling and Numerical Analysis

Michael Innerberger

Ani Miraçi

Dirk Praetorius

Julian Streitberger

2024/1/1

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

Michael Feischl

Dirk Praetorius

Michele Ruggeri

2024/4/1

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

arXiv preprint arXiv:2401.17778

Ani Miraçi

Dirk Praetorius

Julian Streitberger

2024/1/31

Adaptive FEM for linear elliptic PDEs: Optimal complexity

Dirk Praetorius

Maximilian Brunner

Pascal Heid

Michael Innerberger

Ani Miraci

...

2023/6/13

Goal-oriented adaptive finite element methods with optimal computational complexity

Numerische Mathematik

Roland Becker

Gregor Gantner

Michael Innerberger

Dirk Praetorius

2023/1

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

arXiv preprint arXiv:2311.15738

Philipp Bringmann

Michael Feischl

Ani Miraci

Dirk Praetorius

Julian Streitberger

2023/11/27

Goal-oriented adaptivity for semilinear elliptic PDEs

Maximilian Brunner

Dirk Praetorius

Roland Becker

Michael Innerberger

Jens Markus Melenk

2023/6/8

Plain convergence of goal-oriented adaptive FEM

Computers & Mathematics with Applications

Valentin Helml

Michael Innerberger

Dirk Praetorius

2023/10/1

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

Applied Mathematics and Computation

Michael Innerberger

Dirk Praetorius

2023/4/1

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

Computers & Mathematics with Applications

Roland Becker

Maximilian Brunner

Michael Innerberger

Jens Markus Melenk

Dirk Praetorius

2022/7/15

Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs

Julian Streitberger

Philipp Bringmann

Maximilian Brunner

Ani Miraci

Dirk Praetorius

2023/9/4

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

Journal of Differential Equations

Giovanni Di Fratta

Ansgar Jüngel

Dirk Praetorius

Valeriy Slastikov

2023/1/15

The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics

Computational Methods in Applied Mathematics

Giovanni Di Fratta

Carl-Martin Pfeiler

Dirk Praetorius

Michele Ruggeri

2023/1/1

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs

ESAIM: Mathematical Modelling and Numerical Analysis

Roland Becker

Maximilian Brunner

Michael Innerberger

Jens Markus Melenk

Dirk Praetorius

2023/7/1

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

arXiv preprint arXiv:2312.00489

Philipp Bringmann

Maximilian Brunner

Dirk Praetorius

Julian Streitberger

2023/12/1

Goal-oriented adaptive multilevel stochastic Galerkin FEM

arXiv preprint arXiv:2208.09388

Alex Bespalov

Dirk Praetorius

Michele Ruggeri

2022/8/19

See List of Professors in Dirk Praetorius University(Technische Universität Wien)

Co-Authors

H-index: 58
Barbara Wohlmuth

Barbara Wohlmuth

Technische Universität München

H-index: 57
Carsten Carstensen

Carsten Carstensen

Humboldt-Universität zu Berlin

H-index: 45
Dieter Suess

Dieter Suess

Universität Wien

H-index: 35
Gino Hrkac

Gino Hrkac

University of Exeter

H-index: 28
Norbert Heuer

Norbert Heuer

Pontificia Universidad Católica de Chile

H-index: 23
Claas Abert

Claas Abert

Universität Wien

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