Scientific talks

Austrian Numerical Analysis Day 2024, University of Innsbruck, May 16—17, 2024 [www]
JAM Walkshop on Computational PDES, University of Jena, May 29—June 02, 2024 [www]
CMAM 2024 Conference, University of Bonn, June 10—14, 2024 [www]
HSM Summer School on "Optimality of adaptive finite element methods", University of Bonn, September 22—26, 2024 [www]

Unconditional full R-linear convergence and optimal complexity of AFEM for nonlinear PDEs [Poster (PDF)]
3rd SFB International Workshop 2025 "Taming Complexity in Partial Differential Systems", University of Vienna, 2025
Functional a-posteriori error estimates for BEM [Handout (PDF)]
Workshop 2CCC, HU Berlin, 2024
Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs [Handout (PDF)]
Plenary talk at CMAM 2024 conference, University of Bonn, 2024
On optimal computational costs of AFEM [Handout (PDF)]
Workshop CC2LX, TU Wien, 2022
Goal-oriented adaptive FEMs with optimal computational complexity [Handout (PDF)]
Workshop on Recent Advances in the Numerical Approximation of PDEs, University of Milan, 2021
Chiral magnetic skyrmions and computational micromagnetism [Handout (PDF)]
GAMM Seminar on Microstructures, University of Freiburg, 2020
Rate optimal adaptive FEM with inexact solver for nonlinear operators [Handout (PDF)]
Workshop BI.discrete, University of Bielefeld, 2019
Adaptive BEM with inexact PCG solver yields almost optimal computational costs [Handout (PDF)]
Mathematical colloquium at University of Bayreuth, 2019
Axioms of adaptivity revisited: Optimal adaptive IGAFEM [Handout (PDF)]
ESI Workshop on Interplay of geometric processing, modelling, and adaptivity in Galerkin methods, Erwin-Schrödinger Institute, Wien, 2018
Optimal convergence rates for adaptive FEM for compactly perturbed elliptic problems [Handout (PDF)]
Conference on Foundations of Computational Mathematics, University of Barcelona, 2017
AFEM with inhomogeneous Dirichlet data [Handout (PDF)]
Central Workshop, TU Wien, 2017

Presentations (since 2019)

Alde, M., Feischl, M., & Praetorius, D. (2025, January 30). BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics. 24th GAMM Seminar on Microstructures 2025, Berlin, Germany.
| BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics at reposiTUm , opens an external URL in a new window

Bringmann, P., Feischl, M., Miraci, A., Praetorius, D., & Streitberger, J. (2024, August 8). On full linear convergence and optimal complexity of adaptive FEM with inexact solver. 2CCC Workshop on Numerical Analysis 2024, Berlin, Germany.
| On full linear convergence and optimal complexity of adaptive FEM with inexact solver at reposiTUm , opens an external URL in a new window
Praetorius, D., Kurz, S., Pauly, D., Repin, S., Sebastian, D., & Freiszlinger, A. (2024, August 8). Functional a-posteriori error estimates for BEM. 2CCC Workshop on Numerical Analysis 2024, Berlin, Germany.
| Functional a-posteriori error estimates for BEM at reposiTUm , opens an external URL in a new window
Praetorius, D., Bringmann, P., Gantner, G., Miraci, A., & Streitberger, J. (2024, May 30). Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs. JAM Walkshop on Computational PDEs (2024), Jena, Germany.
| Optimal interplay of adaptive mesh-refinement and iterative solvers for elliptic PDEs at reposiTUm , opens an external URL in a new window
Miraci, A., Innerberger, M., Papež, J., Praetorius, D., Streitberger, J., & Vohralik, M. (2024, May 14). Role of hp-Robust Iterative Solvers in Adaptive Finite Element Algorithms for Optimal Complexity. SIAM Conference on Applied Linear Algebra (LA24), Paris, France.
| Role of hp-Robust Iterative Solvers in Adaptive Finite Element Algorithms for Optimal Complexity at reposiTUm , opens an external URL in a new window
Praetorius, D., Gantner, G., Innerberger, M., Miraci, A., & Streitberger, J. (2024, February 28). Optimal complexity of adaptive FEM for nonlinear PDEs. Numerical Analysis Seminar at the University of Hongkong (2024), Hong Kong, China.
| Optimal complexity of adaptive FEM for nonlinear PDEs at reposiTUm , opens an external URL in a new window

Brunner, M., Becker, R., Innerberger, M., Melenk, J. M., & Praetorius, D. (2023, September 4). Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.
| Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window
Streitberger, J., Bringmann, P., Brunner, M., Miraci, A., & Praetorius, D. (2023, September 4). Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lissabon, Portugal.
| Cost-optimal goal-oriented adaptive FEM for linear elliptic PDEs at reposiTUm , opens an external URL in a new window
Praetorius, D., Brunner, M., Heid, P., Innerberger, M., Miraci, A., & Streitberger, J. (2023, June 13). Adaptive FEM for linear elliptic PDEs: Optimal complexity. FoCM 2023, Paris, France.
| Adaptive FEM for linear elliptic PDEs: Optimal complexity at reposiTUm , opens an external URL in a new window
Melenk, J. M., Bahr, B., Faustmann, M., Parvizi, M., & Praetorius, D. (2023, June 12). AFEM for the fractional Laplacian. Foundations of Computational Mathematics (FoCM 2023), Paris, France.
| AFEM for the fractional Laplacian at reposiTUm , opens an external URL in a new window
Brunner, M., Praetorius, D., Becker, R., Innerberger, M., & Melenk, J. M. (2023, June 8). Goal-oriented adaptivity for semilinear elliptic PDEs. Jena-Augsburg-Meeting (JAM) on Numerical Analysis, Augsburg, Germany.
| Goal-oriented adaptivity for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window
Streitberger, J., Brunner, M., Heid, P., Innerberger, M., Miraci, A., & Praetorius, D. (2023, April 27). Adaptive FEM for linear elliptic PDEs: optimal complexity. Austrian Numerical Analysis Day 2023, Wien, Austria.
| Adaptive FEM for linear elliptic PDEs: optimal complexity at reposiTUm , opens an external URL in a new window
Miraci, A., Brunner, M., Heid, P., Innerberger, M., Praetorius, D., & Streitberger, J. (2023, March 22). Adaptive FEM for linear elliptic PDEs: Optimal complexity. Finite Element Workshop 2023, Jena, Germany.
| Adaptive FEM for linear elliptic PDEs: Optimal complexity at reposiTUm , opens an external URL in a new window

Bahr, B. H., Faustmann, M., Melenk, J. M., & Praetorius, D. (2022). Adaptive FEM for fractional diffusion. ESI Workshop “Adaptivity, High Dimensionality and Randomness,” Wien, Austria.
| Adaptive FEM for fractional diffusion at reposiTUm , opens an external URL in a new window
Becker, R., Brunner, M., Innerberger, M., Melenk, J. M., & Praetorius, D. (2022). Goal-oriented adaptive finite element method for semilinear elliptic PDEs. RMMM 2022 - Reliable Methods of Mathematical Modeling, Lausanne, Switzerland.
| Goal-oriented adaptive finite element method for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new window
Becker, R., Gantner, G., Innerberger, M., & Praetorius, D. (2022). Goal-oriented adaptive finite element methods with optimal computational complexity. Mathematisches Kolloquium, TH Aachen, Austria.
| Goal-oriented adaptive finite element methods with optimal computational complexity at reposiTUm , opens an external URL in a new window
Becker, R., Innerberger, M., & Praetorius, D. (2022). Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. RMMM 2022 - Reliable Methods of Mathematical Modeling, Lausanne, Switzerland.
| Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems at reposiTUm , opens an external URL in a new window
Brunner, M., Gantner, G., Innerberger, M., & Praetorius, D. (2022). Adaptive FEM with quasi-optimal cost for nonlinear PDEs. GATIPOR Workshop 2022 on Interplay of discretization and algebraic solvers: a posteriori error estimates and adaptivity, Paris, France.
| Adaptive FEM with quasi-optimal cost for nonlinear PDEs at reposiTUm , opens an external URL in a new window
Praetorius, D. (2022). On optimal computational costs of AFEM. CC2LX - Workshop on Finite Element Methods and Adaptivity, TU Wien, Austria.
| On optimal computational costs of AFEM at reposiTUm , opens an external URL in a new window

Becker, R., Gantner, G., Innerberger, M., & Praetorius, D. (2021). Goal-oriented adaptive finite element methods with optimal computational complexity. Recent Advances in the Numerical Approximation of Partial Differential Equations (RANAPDE 2021), Milan (online), Italy.
| Goal-oriented adaptive finite element methods with optimal computational complexity at reposiTUm , opens an external URL in a new window
Becker, R., Innerberger, M., & Praetorius, D. (2021). Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Online Conference “14th World Congress in Computational Mechanics and ECCOMAS Congress (WCCM-ECCOMAS 2020),” Paris, online, France.
| Optimal convergence rates for goal-oriented FEM with quadratic goal functional at reposiTUm , opens an external URL in a new window
Bespalov, A., Praetorius, D., & Ruggeri, M. (2021). Rate optimality of an adaptive multilevel stochastic Galerkin finite element method. Congress of the Italian Society of Industrial and Applied Mathematics (SIMAI 2020+2021), Parma, Italy.
| Rate optimality of an adaptive multilevel stochastic Galerkin finite element method at reposiTUm , opens an external URL in a new window
Faustmann, M., Karkulik, M., Melenk, J. M., & Praetorius, D. (2021). Finite Element Method for Fractional Diffusion - Recent Results. DMV-ÖMG Jahrestagung 2021, virtuelle Tagung - Zoom / Passau, Germany.
| Finite Element Method for Fractional Diffusion - Recent Results at reposiTUm , opens an external URL in a new window

Bespalov, A., Praetorius, D., & Ruggeri, M. (2020). Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM. 20th Biennial Computational Techniques and Applications Conference (CTAC 2020), Sydney, Australia.
| Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM at reposiTUm , opens an external URL in a new window
Bespalov, A., Praetorius, D., & Ruggeri, M. (2020). Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM. Chemnitz Finite Element Symposium 2020 (online edition), Chemnitz, Germany.
| Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM at reposiTUm , opens an external URL in a new window
Di Fratta, G., Innerberger, M., Praetorius, D., Pfeiler, C.-M., & Ruggeri, M. (2020). Chiral magnetic skyrmions and computational micromagnetism. 19th GAMM Seminar on Microstructures, Freiburg, Germany.
| Chiral magnetic skyrmions and computational micromagnetism at reposiTUm , opens an external URL in a new window
Di Fratta, G., Innerberger, M., Praetorius, D., Pfeiler, C.-M., & Ruggeri, M. (2020). Chiral magnetic skyrmions and computational micromagnetism. Universität Würzburg, Oberseminar des Lehrstuhls für Mathematik in den Naturwissenschaften, Würzburg, Germany.
| Chiral magnetic skyrmions and computational micromagnetism at reposiTUm , opens an external URL in a new window
Faustmann, M., Karkulik, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2020). The Fractional Laplacian - Adaptive FEM, Preconditioning and Local Errors. USM Seminar, Valparaiso (online), Chile.
| The Fractional Laplacian - Adaptive FEM, Preconditioning and Local Errors at reposiTUm , opens an external URL in a new window

Bespalov, A., Praetorius, D., Rocchi, L., & Ruggeri, M. (2019). Convergence of adaptive stochastic Galerkin FEM for elliptic parametric PDEs. MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge, United Kingdom of Great Britain and Northern Ireland (the).
| Convergence of adaptive stochastic Galerkin FEM for elliptic parametric PDEs at reposiTUm , opens an external URL in a new window
Faustmann, M., Melenk, J. M., & Praetorius, D. (2019). OEMG jahrestagung. OEMG Jahrestagung 2019, Dornbirn, Austria.
| OEMG jahrestagung at reposiTUm , opens an external URL in a new window
Faustmann, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2019). Optimal adaptivity and preconditioning for the fractional Laplacian. 15th Austrian Numerical Analysis Day, Graz, Austria.
| Optimal adaptivity and preconditioning for the fractional Laplacian at reposiTUm , opens an external URL in a new window
Faustmann, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2019). Optimal adaptivity and preconditioning for the fractional Laplacian. GAMM 2019, Wien, Austria.
| Optimal adaptivity and preconditioning for the fractional Laplacian at reposiTUm , opens an external URL in a new window
Faustmann, M., Melenk, J. M., Parvizi, M., & Praetorius, D. (2019). Optimal adaptivity and preconditioning for the fractional Laplacian. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.
| Optimal adaptivity and preconditioning for the fractional Laplacian at reposiTUm , opens an external URL in a new window
Führer, T., Haberl, A., Praetorius, D., & Schimanko, S. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge, United Kingdom of Great Britain and Northern Ireland (the).
| Adaptive BEM with inexact PCG solver yields almost optimal computational costs at reposiTUm , opens an external URL in a new window
Führer, T., Praetorius, D., & Schimanko, S. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Universität Bayreuth, Bayreuth, Germany, Austria.
| Adaptive BEM with inexact PCG solver yields almost optimal computational costs at reposiTUm , opens an external URL in a new window
Gantner, G., & Praetorius, D. (2019). A posteriori error estimation and convergence of adaptive isogeometric methods. 7th International Conference on Isogeometric Analysis, München, Germany.
| A posteriori error estimation and convergence of adaptive isogeometric methods at reposiTUm , opens an external URL in a new window
Gantner, G., Haberl, A., Praetorius, D., & Schimanko, S. (2019). Rate optimal adaptive FEM with inexact solver for nonlinear operators. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.
| Rate optimal adaptive FEM with inexact solver for nonlinear operators at reposiTUm , opens an external URL in a new window
Gantner, G., Haberlik, D., & Praetorius, D. (2019). Axioms of adaptivity revisited: Optimal adaptive IGAFEM. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.
| Axioms of adaptivity revisited: Optimal adaptive IGAFEM at reposiTUm , opens an external URL in a new window
Gantner, G., Haberlik, D., & Praetorius, D. (2019). Optimal adaptivity for isogeometric finite and boundary element methods. Seminar on Numerical Analysis (Inria), Paris, France.
| Optimal adaptivity for isogeometric finite and boundary element methods at reposiTUm , opens an external URL in a new window
Gantner, G., Praetorius, D., & Schimanko, S. (2019). Rate optimal adaptive FEM with inexact solver for nonlinear operators. BI.discrete - Numerical Analysis in Bielefeld, Bielefeld, Germany.
| Rate optimal adaptive FEM with inexact solver for nonlinear operators at reposiTUm , opens an external URL in a new window
Innerberger, M., & Praetorius, D. (2019). Instance-Optimal Goal-Oriented Adaptivity. RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien, Austria.
| Instance-Optimal Goal-Oriented Adaptivity at reposiTUm , opens an external URL in a new window
Kurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2019). Functional a posteriori error estimates for boundary element methods. 17th workshop on Fast boundary element methods in industrial applications, Söllerhaus, Hirschegg, Austria.
| Functional a posteriori error estimates for boundary element methods at reposiTUm , opens an external URL in a new window
Kurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2019). Functional a posteriori error estimates for boundary element methods. RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien, Austria.
| Functional a posteriori error estimates for boundary element methods at reposiTUm , opens an external URL in a new window
Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. 15th Austrian Numerical Analysis Day, Graz, Austria.
| Dörfler marking with minimal cardinality is a linear complexity problem at reposiTUm , opens an external URL in a new window
Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. DMV-Jahrestagung 2019, KIT Karlsruhe, Germany.
| Dörfler marking with minimal cardinality is a linear complexity problem at reposiTUm , opens an external URL in a new window
Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien, Austria.
| Dörfler marking with minimal cardinality is a linear complexity problem at reposiTUm , opens an external URL in a new window
Pfeiler, C.-M., & Praetorius, D. (2019). Dörfler marking with minimal cardinality is a linear complexity problem. WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile.
| Dörfler marking with minimal cardinality is a linear complexity problem at reposiTUm , opens an external URL in a new window
Pfeiler, C.-M., Ruggeri, M., Stiftner, B., Exl, L., Hochsteger, M., Hrkac, G., Schöberl, J., Mauser, N. J., & Praetorius, D. (2019). Computational studies of nonlinear skyrmion dynamics. HMM 2019 - 12th International Symposium on Hysteresis Modeling and Micromagnetics, Heraklion, Crete, Greece.
| Computational studies of nonlinear skyrmion dynamics at reposiTUm , opens an external URL in a new window
Praetorius, D., Ruggeri, M., & Stephan, E. P. (2019). The saturation assumption yields optimal convergence of two-level adaptive BEM. 17th workshop on Fast boundary element methods in industrial applications, Söllerhaus, Hirschegg, Austria.
| The saturation assumption yields optimal convergence of two-level adaptive BEM at reposiTUm , opens an external URL in a new window
Praetorius, D., Schimanko, S., & Gantner, G. (2019). Rate optimal adaptive FEM with inexact solver for nonlinear operators. ENUMATH 2019 - European Numerical Mathematics and Advanced Applications Conference 2019, Egmond aan Zee, Netherlands (the).
| Rate optimal adaptive FEM with inexact solver for nonlinear operators at reposiTUm , opens an external URL in a new window
Schimanko, S., Praetorius, D., Führer, T., & Haberl, A. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. SIAM Conference on Computational Science and Engineering (CSE 2019), Spokane, Washington, United States of America (the).
| Adaptive BEM with inexact PCG solver yields almost optimal computational costs at reposiTUm , opens an external URL in a new window

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Scientific talks

Selected talks

Presentations (since 2019)

2025

2024

2023

2022

2021

2020

2019