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Publication list for
Dirk Praetorius
as any person named in the publication record
2021 - 2021

16 records


Publications in Scientific Journals


  1. R. Becker, M. Innerberger, D. Praetorius:
    "Optimal convergence rates for goal-oriented FEM with quadratic goal functional";
    Computational Methods in Applied Mathematics, 21 (2021), 2; 267 - 288.

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  2. A. Bespalov, D. Praetorius, M. Ruggeri:
    "Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM";
    IMA J. Numer. Anal., accepted for publication (2021).

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  3. A. Bespalov, D. Praetorius, M. Ruggeri:
    "Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM";
    SIAM/ASA Journal on Uncertainty Quantification, 90 (2021), 3; 1184 - 1216.

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  4. M. Faustmann, J. Melenk, D. Praetorius:
    "Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian";
    Mathematics of Computation, 90 (2021), 1557 - 1587.

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  5. G. Gantner, A. Haberl, D. Praetorius, S. Schimanko:
    "Rate optimality of adaptive finite element methods with respect to the overall computational costs";
    Mathematics of Computation, 90 (2021), 2011 - 2040.

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  6. 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";
    Numerische Mathematik, 147 (2021), 679 - 725.

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  7. P. Heid, D. Praetorius, T. Wihler:
    "Energy contraction and optimal convergence of adaptive iterative linearized finite element methods";
    Computational Methods in Applied Mathematics, 21 (2021), 2; 407 - 422.

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  8. M. Innerberger, D. Praetorius:
    "Instance-optimal goal-oriented adaptivity";
    Computational Methods in Applied Mathematics, 21 (2021), 1; 109 - 126.

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  9. S. Kurz, D. Pauly, D. Praetorius, S. Repin, D. Sebastian:
    "Functional a posteriori error estimates for boundary element methods";
    Numerische Mathematik, 147 (2021), 937 - 966.

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  10. D. Praetorius, S. Repin, S. Sauter:
    "Reliable Methods of Mathematical Modeling (Editorial of Special Issue of RMMM 2019 Conference)";
    Computational Methods in Applied Mathematics, 21 (2021), 2; 263 - 266.


Talks and Poster Presentations (without Proceedings-Entry)


  1. M. Faustmann, M. Karkulik, J. Melenk, D. Praetorius:
    "Finite Element Method for Fractional Diffusion - Recent Results";
    Talk: DMV-ÖMG Jahrestagung 2021, Passau; 2021-09-27 - 2021-10-01.

  2. A. Bespalov, D. Praetorius, M. Ruggeri:
    "Rate optimality of an adaptive multilevel stochastic Galerkin finite element method";
    Talk: Congress of the Italian Society of Industrial and Applied Mathematics (SIMAI 2020+2021), Parma, Italy (invited); 2021-08-30 - 2021-09-03.

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  3. R. Becker, G. Gantner, M. Innerberger, D. Praetorius:
    "Goal-oriented adaptive finite element methods with optimal computational complexity";
    Keynote Lecture: Recent Advances in the Numerical Approximation of Partial Differential Equations (RANAPDE 2021), Milan, Italy (online) (invited); 2021-06-24 - 2021-06-25.

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  4. R. Becker, M. Innerberger, D. Praetorius:
    "Optimal convergence rates for goal-oriented FEM with quadratic goal functional";
    Talk: Online Conference "14th World Congress in Computational Mechanics and ECCOMAS Congress (WCCM-ECCOMAS 2020)", Paris, France; 2021-01-11 - 2021-01-15.

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Doctor's Theses (authored and supervised)


  1. S. Schimanko:
    "On optimality of adaptive FEM and BEM";
    Supervisor, Reviewer: D. Praetorius, S. Funken, M. Vohralik; Institute of Analysis and Scientific Computing, 2021; oral examination: 2021-06-23.

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  2. A. Schmidt:
    "Adaptive Meshing in Two Dimensions: Refinement, Coarsening, and Stability";
    Supervisor, Reviewer: S. Funken, D. Praetorius; Institute of Numerical Mathematics, University of Ulm, 2021; oral examination: 2021-04-23.