Publication list for
Dirk Praetorius
as any person named in the publication record
2021 - 2021
16 records
Publications in Scientific Journals
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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.
More information
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A. Bespalov, D. Praetorius, M. Ruggeri:
"Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM";
IMA J. Numer. Anal.,
accepted for publication
(2021).
More information
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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.
More information
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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.
More information
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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.
More information
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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.
More information
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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.
More information
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M. Innerberger, D. Praetorius:
"Instance-optimal goal-oriented adaptivity";
Computational Methods in Applied Mathematics,
21
(2021),
1;
109
- 126.
More information
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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.
More information
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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)
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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.
-
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.
More information
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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.
More information
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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.
More information
Doctor's Theses (authored and supervised)
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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.
More information
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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.