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Publication list for
Dirk Praetorius
as any person named in the publication record
2019 - 2019

46 records


Publications in Scientific Journals


  1. A. Bespalov, T. Betcke, A. Haberl, D. Praetorius:
    "Adaptive BEM with optimal convergence rates for the Helmholtz equation";
    Computer Methods in Applied Mechanics and Engineering, 346 (2019), 260 - 287.

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  2. A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri:
    "Convergence of adaptive stochastic Galerkin FEM";
    SIAM Journal on Numerical Analysis, 57 (2019), 5; 2359 - 2382.

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  3. A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri:
    "Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs";
    Computer Methods in Applied Mechanics and Engineering, 345 (2019), 951 - 982.

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  4. T. Betcke, A. Haberl, D. Praetorius:
    "Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra";
    Journal of Computational Physics, 397 (2019), 108837.

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  5. G. Di Fratta, T. Führer, G. Gantner, D. Praetorius:
    "Adaptive Uzawa algorithm for the Stokes equation";
    ESAIM: Mathematical Modelling and Numerical Analysis, 53 (2019), 1841 - 1870.

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  6. C. Erath, D. Praetorius:
    "Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs";
    IMA J. Numer. Anal., 39 (2019), 983 - 1008.

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  7. C. Erath, D. Praetorius:
    "Optimal adaptivity for the SUPG finite element method";
    Computer Methods in Applied Mechanics and Engineering, 353 (2019), 308 - 327.

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  8. T. Führer, G. Gantner, D. Praetorius, S. Schimanko:
    "Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods";
    Computer Methods in Applied Mechanics and Engineering, 351 (2019), 571 - 598.

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  9. T. Führer, A. Haberl, D. Praetorius, S. Schimanko:
    "Adaptive BEM with inexact PCG solver yields almost optimal computational costs";
    Numerische Mathematik, 141 (2019), 4; 967 - 1008.

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  10. G. Hrkac, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, A. Segatti, B. Stiftner:
    "Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics";
    Advances in Computational Mathematics, 45 (2019), 3; 1329 - 1368.

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  11. J. Kraus, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner:
    "Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics";
    Journal of Computational Physics, 398 (2019), 108866.

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Contributions to Books


  1. T. Betcke, A. Haberl, D. Praetorius:
    "Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra";
    in: "ASC Report 03/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 24.

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  2. G. Di Fratta, M. Innerberger, D. Praetorius:
    "Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics";
    in: "ASC Report 26/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 14.

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  3. M. Faustmann, J. Melenk, D. Praetorius:
    "Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian";
    in: "ASC Report 07/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 23.

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  4. G. Gantner, D. Praetorius:
    "Adaptive IGAFEM with optimal convergence rates: T-splines";
    in: "ASC Report 25/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 25.

  5. G. Gantner, D. Praetorius, S. Schimanko:
    "Adaptive isogeometric boundary element methods with local smoothness control";
    in: "ASC Report 06/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 39.

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  6. M. Innerberger, D. Praetorius:
    "Instance-optimal goal-oriented adaptivity";
    in: "ASC Report 21/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 20.

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  7. S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian:
    "Functional a posteriori error estimates for boundary element methods";
    in: "ASC Report 29/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 29.

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  8. C.-M. Pfeiler, D. Praetorius:
    "Dörfler marking with minimal cardinality is a linear complexity problem";
    in: "ASC Report 20/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 18.

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  9. D. Praetorius, M. Ruggeri, E. Stephan:
    "The saturation assumption yields optimal convergence of two-level adaptive BEM";
    in: "ASC Report 18/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 26.

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Talks and Poster Presentations (without Proceedings-Entry)


  1. T. Führer, D. Praetorius, S. Schimanko:
    "Adaptive BEM with inexact PCG solver yields almost optimal computational costs";
    Keynote Lecture: Universität Bayreuth, Bayreuth (invited); 2019-12-11.

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  2. S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian:
    "Functional a posteriori error estimates for boundary element methods";
    Talk: 17th workshop on Fast boundary element methods in industrial applications, Söllerhaus, Hirschegg; 2019-10-03 - 2019-10-06.

  3. D. Praetorius, M. Ruggeri, E. Stephan:
    "The saturation assumption yields optimal convergence of two-level adaptive BEM";
    Talk: 17th workshop on Fast boundary element methods in industrial applications, Söllerhaus, Hirschegg; 2019-10-03 - 2019-10-06.

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  4. D. Praetorius, S. Schimanko, G. Gantner:
    "Rate optimal adaptive FEM with inexact solver for nonlinear operators";
    Talk: ENUMATH 2019 - European Numerical Mathematics and Advanced Applications Conference 2019, Egmond aan Zee, Niederlande; 2019-09-30 - 2019-10-04.

  5. G. Gantner, D. Praetorius, S. Schimanko:
    "Rate optimal adaptive FEM with inexact solver for nonlinear operators";
    Keynote Lecture: BI.discrete - Numerical Analysis in Bielefeld, Bielefeld (invited); 2019-09-25 - 2019-09-26.

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  6. C.-M. Pfeiler, D. Praetorius:
    "Dörfler marking with minimal cardinality is a linear complexity problem";
    Talk: DMV-Jahrestagung 2019, KIT Karlsruhe; 2019-09-23 - 2019-09-26.

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  7. G. Gantner, D. Praetorius:
    "A posteriori error estimation and convergence of adaptive isogeometric methods";
    Talk: 7th International Conference on Isogeometric Analysis, München (invited); 2019-09-18 - 2019-09-20.

  8. M. Faustmann, J. Melenk, D. Praetorius:
    "OEMG jahrestagung";
    Talk: OEMG Jahrestagung 2019, Dornbirn; 2019-09-16 - 2019-09-20.

  9. M. Innerberger, D. Praetorius:
    "Instance-Optimal Goal-Oriented Adaptivity";
    Talk: RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien; 2019-09-09 - 2019-09-13.

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  10. S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian:
    "Functional a posteriori error estimates for boundary element methods";
    Talk: RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien; 2019-09-09 - 2019-09-13.

  11. C.-M. Pfeiler, D. Praetorius:
    "Dörfler marking with minimal cardinality is a linear complexity problem";
    Talk: RMMM 2019 - Reliable Methods of Mathematical Modeling, TU Wien; 2019-09-09 - 2019-09-13.

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  12. A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri:
    "Convergence of adaptive stochastic Galerkin FEM for elliptic parametric PDEs";
    Talk: MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge (invited); 2019-06-18 - 2019-06-21.

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  13. T. Führer, A. Haberl, D. Praetorius, S. Schimanko:
    "Adaptive BEM with inexact PCG solver yields almost optimal computational costs";
    Talk: MAFELAP 2019 - The Mathematics of Finite Elements and Applications, Uxbridge (invited); 2019-06-18 - 2019-06-21.

  14. C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N. Mauser, D. Praetorius:
    "Computational studies of nonlinear skyrmion dynamics";
    Poster: HMM 2019 - 12th International Symposium on Hysteresis Modeling and Micromagnetics, Heraklion, Crete; 2019-05-19 - 2019-05-22.

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  15. M. Faustmann, J. Melenk, M. Parvizi, D. Praetorius:
    "Optimal adaptivity and preconditioning for the fractional Laplacian";
    Talk: 15th Austrian Numerical Analysis Day, Graz; 2019-05-09 - 2019-05-10.

  16. C.-M. Pfeiler, D. Praetorius:
    "Dörfler marking with minimal cardinality is a linear complexity problem";
    Talk: 15th Austrian Numerical Analysis Day, Graz; 2019-05-09 - 2019-05-10.

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  17. S. Schimanko, D. Praetorius, T. Führer, A. Haberl:
    "Adaptive BEM with inexact PCG solver yields almost optimal computational costs";
    Talk: SIAM Conference on Computational Science and Engineering (CSE 2019), Spokane, Washington, USA; 2019-02-25 - 2019-03-01.

  18. M. Faustmann, J. Melenk, M. Parvizi, D. Praetorius:
    "Optimal adaptivity and preconditioning for the fractional Laplacian";
    Talk: GAMM 2019, Wien; 2019-02-18 - 2019-02-22.

  19. G. Gantner, D. Haberlik, D. Praetorius:
    "Optimal adaptivity for isogeometric finite and boundary element methods";
    Talk: Seminar on Numerical Analysis (Inria), Paris (invited); 2019-02-07.

  20. M. Faustmann, J. Melenk, M. Parvizi, D. Praetorius:
    "Optimal adaptivity and preconditioning for the fractional Laplacian";
    Talk: WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción; 2019-01-21 - 2019-01-25.

  21. G. Gantner, A. Haberl, D. Praetorius, S. Schimanko:
    "Rate optimal adaptive FEM with inexact solver for nonlinear operators";
    Talk: WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción (invited); 2019-01-21 - 2019-01-25.

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  22. G. Gantner, D. Haberlik, D. Praetorius:
    "Axioms of adaptivity revisited: Optimal adaptive IGAFEM";
    Talk: WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción (invited); 2019-01-21 - 2019-01-25.

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  23. C.-M. Pfeiler, D. Praetorius:
    "Dörfler marking with minimal cardinality is a linear complexity problem";
    Talk: WONAPDE 2019 - Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción; 2019-01-21 - 2019-01-25.


Doctor's Theses (authored and supervised)


  1. C. Özdemir:
    "Finite elements and boundary elements coupling in time domain";
    Supervisor, Reviewer: E. Stephan, H. Gimperlein, D. Praetorius; Leibniz Universität Hannover, 2019; oral examination: 2019-09-25.

  2. S. Nakov:
    "The Poisson-Boltzmann equation: Analysis, a posteriori error estimation and applications";
    Supervisor, Reviewer: J. Kraus, D. Praetorius; Johannes Kepler Universität Linz, 2019; oral examination: 2019-07-11.


Diploma and Master Theses (authored and supervised)


  1. J. Kainz:
    "Isogeometrische Randelementmethode für die Lamé-Gleichung";
    Supervisor: G. Gantner, D. Praetorius; Institute for Analysis and Scientific Computing, 2019; final examination: 2019-11-20.

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