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Publication list for
Dirk Praetorius
as any person named in the publication record
2020 - 2020

29 records


Publications in Scientific Journals


  1. G. Di Fratta, M. Innerberger, D. Praetorius:
    "Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics";
    Nonlinear Analysis: Real-World Applications, 55 (2020), 103122.

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  2. G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner:
    "Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation";
    IMA J. Numer. Anal., 40 (2020), 2802 - 2838.

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  3. C. Erath, G. Gantner, D. Praetorius:
    "Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators";
    Computers and Mathematics with Applications, 79 (2020), 3; 623 - 642.

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  4. T. Führer, D. Praetorius:
    "A short note on plain convergence of adaptive least-squares finite element methods";
    Computers and Mathematics with Applications, 80 (2020), 6; 1619 - 1632.

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  5. G. Gantner, D. Praetorius:
    "Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations";
    accepted for publication in Applicable Analysis (2020).

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  6. G. Gantner, D. Praetorius:
    "Adaptive IGAFEM with optimal convergence rates: T-splines";
    Computer Aided Geometric Design, 81 (2020), 101906.

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  7. G. Gantner, D. Praetorius:
    "Plain convergence of adaptive algorithms without exploiting reliability and efficiency";
    accepted for publication in IMA J. Numer. Anal. (2020).

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  8. G. Gantner, D. Praetorius, S. Schimanko:
    "Adaptive isogeometric boundary element methods with local smoothness control";
    Mathematical Models & Methods in Applied Sciences, 30 (2020), 2; 261 - 307.

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  9. C.-M. Pfeiler, D. Praetorius:
    "Dörfler marking with minimal cardinality is a linear complexity problem";
    Mathematics of Computation, 89 (2020), 2735 - 2752.

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  10. C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N. Mauser, D. Praetorius:
    "Computational micromagnetics with Commics";
    Computer Physics Communications, 248 (2020), 106965.

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  11. D. Praetorius, M. Ruggeri, E. Stephan:
    "The saturation assumption yields optimal convergence of two-level adaptive BEM";
    Applied Numerical Mathematics, 152 (2020), 105 - 124.

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Contributions to Books


  1. R. Becker, M. Innerberger, D. Praetorius:
    "Optimal convergence rates for goal-oriented FEM with quadratic goal functional";
    in: "ASC Report 7/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 24.

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  2. A. Bespalov, D. Praetorius, M. Ruggeri:
    "Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM";
    in: "ASC Report 18/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 28.

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  3. E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri:
    "Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction";
    in: "ASC Report 28/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 24.

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  4. G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov:
    "Spin-diffusion model for micromagnetics in the limit of long times";
    in: "ASC Report 26/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 22.

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  5. T. Führer, D. Praetorius:
    "A short note on plain convergence of adaptive least-squares finite element methods";
    in: "ASC Report 16/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 18.

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  6. G. Gantner, A. Haberl, D. Praetorius, S. Schimanko:
    "Rate optimality of adaptive finite element methods with respect to the overall computational costs";
    in: "ASC Report 4/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 30.

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  7. G. Gantner, D. Praetorius:
    "Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations";
    in: "ASC Report 10/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 36.

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  8. G. Gantner, D. Praetorius:
    "Plain convergence of adaptive algorithms without exploiting reliability and efficiency";
    in: "ASC Report 25/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 17.

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  9. A. Haberl, D. Praetorius, S. Schimanko, M. Vohralik:
    "Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver";
    in: "ASC Report 12/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 40.

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  10. P. Heid, D. Praetorius, T. Wihler:
    "Energy contraction and optimal convergence of adaptive iterative linearized finite element methods";
    in: "ASC Report 21/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 12.

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Talks and Poster Presentations (with Proceedings-Entry)


  1. S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian:
    "Functional a-posteriori error estimates for BEM";
    to be given as keynote lecture at: Oberwolfach Workshop on Boundary Element Methods, Oberwolfach (invited); 2020-02-03 - 2020-02-07; in: "Oberwolfach Reports", (2020).

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Talks and Poster Presentations (without Proceedings-Entry)


  1. M. Faustmann, M. Karkulik, J. Melenk, M. Parvizi, D. Praetorius:
    "The Fractional Laplacian - Adaptive FEM, Preconditioning and Local Errors";
    Talk: USM Seminar, Valparaiso (online) (invited); 2020-10-29.

  2. A. Bespalov, D. Praetorius, M. Ruggeri:
    "Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM";
    Talk: Chemnitz Finite Element Symposium 2020 (online edition), Chemnitz, Germany; 2020-09-14 - 2020-09-17.

  3. A. Bespalov, D. Praetorius, M. Ruggeri:
    "Error estimation and adaptive algorithms for multilevel stochastic Galerkin FEM";
    Talk: 20th Biennial Computational Techniques and Applications Conference (CTAC 2020), Sydney, Australia; 2020-08-30 - 2020-09-02.

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  4. G. Di Fratta, M. Innerberger, D. Praetorius, C.-M. Pfeiler, M. Ruggeri:
    "Chiral magnetic skyrmions and computational micromagnetism";
    Talk: Universität Würzburg, Oberseminar des Lehrstuhls für Mathematik in den Naturwissenschaften, Würzburg (invited); 2020-06-12.

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  5. G. Di Fratta, M. Innerberger, D. Praetorius, C.-M. Pfeiler, M. Ruggeri:
    "Chiral magnetic skyrmions and computational micromagnetism";
    Keynote Lecture: 19th GAMM Seminar on Microstructures, Freiburg (invited); 2020-01-23 - 2020-01-25.

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Doctor's Theses (authored and supervised)


  1. A. Miraci:
    "A-posteriori-steered and adaptive p-robust multigrid solvers";
    Supervisor, Reviewer: M. Vohralik, A. Ern, M. Gander, D. Praetorius, M. Verani; Sorbonne Université, Mathematical Sciences of Central Paris (ED 386), 2020; oral examination: 2020-12-14.

  2. M. Holzinger:
    "Konforme Abbildungen zur Simulation von Modellen mit verteilten Parametern";
    Supervisor, Reviewer: F. Breitenecker, T. Pawletta, D. Praetorius; Inst.f. Analysis und Scientific Computing, 2020; oral examination: 2020-04-29.

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