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Publication list for
Dirk Praetorius
as any person named in the publication record
2022 - 2022

21 records


Publications in Scientific Journals


  1. A. Amad, T. Betcke, P. Ledger, D. Praetorius:
    "Benchmark computations for the polarization tensor characterization of small conducting objects";
    Applied Mathematical Modelling, 111 (2022), 94 - 107.

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  2. R. Becker, M. Brunner, M. Innerberger, J. Melenk, D. Praetorius:
    "Rate-optimal goal-oriented adaptive finite element method for semilinear elliptic PDEs";
    Computers and Mathematics with Applications, 118 (2022), 18 - 35.

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  3. R. Becker, M. Innerberger, D. Praetorius:
    "Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems";
    SIAM Journal on Numerical Analysis, 60 (2022), 3; 1450 - 1471.

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  4. A. Buffa, G. Gantner, C. Giannelli, D. Praetorius, R. Vazquez:
    "Mathematical foundations of adaptive isogeometric analysis";
    accepted for publication in Archives of Computational Methods in Engineering (2022).

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  5. E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri:
    "Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction";
    Mathematical Models & Methods in Applied Sciences, 32 (2022), 5; 911 - 939.

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  6. G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri:
    "The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics";
    Computational Methods in Applied Mathematics, 6 (2022).

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  7. G. Gantner, D. Praetorius:
    "Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations";
    Applicable Analysis, 101 (2022), 6; 2085 - 2118.

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  8. G. Gantner, D. Praetorius:
    "Adaptive BEM for elliptic PDE systems, Part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations";
    Computers and Mathematics with Applications, 117 (2022), 74 - 76.

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  9. G. Gantner, D. Praetorius:
    "Plain convergence of adaptive algorithms without exploiting reliability and efficiency";
    IMA J. Numer. Anal., 42 (2022), 2; 1434 - 1453.

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  10. G. Gantner, D. Praetorius, S. Schimanko:
    "Stable implementation of adaptive IGABEM in 2D in Matlab";
    accepted for publication in Computational Methods in Applied Mathematics (2022).

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  11. A. Kovacs, L. Exl, A. Kornell, J. Fischbacher, M. Hovorka, M. Gusenbauer, L. Breth, D. Praetorius, D. Suess, T. Schrefl:
    "Magnetostatics and micromagnetics with physics informed neural networks";
    Journal of Magnetism and Magnetic Materials, 548 (2022), 168951.

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  12. N. Mauser, C.-M. Pfeiler, D. Praetorius, M. Ruggeri:
    "Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics";
    Applied Numerical Mathematics, 180 (2022), 33 - 54.

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  13. H. Oezelt, L. Qu, A. Kovacs, J. Fischbacher, M. Gusenbauer, R. Beigelbeck, D. Praetorius, Y. Masao, T. Shoji, A. Kato, R. Chantrell, M. Winklhofer, G. Zimanyi, T. Schrefl:
    "Full-spin-wave-scaled stochastic micromagnetism for mesh-independent simulations of ferromagnetic resonance and reversal";
    npj Computational Materials, 8 (2022), 35.

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Talks and Poster Presentations (without Proceedings-Entry)


  1. R. Becker, M. Brunner, M. Innerberger, J. Melenk, D. Praetorius:
    "Goal-oriented adaptive finite element method for semilinear elliptic PDEs";
    Talk: RMMM 2022 - Reliable Methods of Mathematical Modeling, Lausanne, Schweiz; 2022-06-21 - 2022-06-23.

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  2. R. Becker, M. Innerberger, D. Praetorius:
    "Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems";
    Talk: RMMM 2022 - Reliable Methods of Mathematical Modeling, Lausanne, Schweiz; 2022-06-21 - 2022-06-23.

  3. M. Brunner, G. Gantner, M. Innerberger, D. Praetorius:
    "Adaptive FEM with quasi-optimal cost for nonlinear PDEs";
    Keynote Lecture: GATIPOR Workshop 2022 on Interplay of discretization and algebraic solvers: a posteriori error estimates and adaptivity, Paris (invited); 2022-06-08 - 2022-06-10.

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  4. B. Bahr, M. Faustmann, J. Melenk, D. Praetorius:
    "Adaptive FEM for fractional diffusion";
    Talk: ESI Workshop "Adaptivity, High Dimensionality and Randomness", Wien; 2022-04-04 - 2022-04-08.

  5. D. Praetorius:
    "On optimal computational costs of AFEM";
    Keynote Lecture: CC2LX - Workshop on Finite Element Methods and Adaptivity, TU Wien; 2022-03-31 - 2022-04-01.

  6. R. Becker, G. Gantner, M. Innerberger, D. Praetorius:
    "Goal-oriented adaptive finite element methods with optimal computational complexity";
    Talk: Mathematisches Kolloquium, Freiburg (online) (invited); 2022-02-01.

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Doctor's Theses (authored and supervised)


  1. M. Innerberger:
    "Reliable goal-oriented adaptive FEM";
    Supervisor, Reviewer: D. Praetorius, R. Becker, R. Stevenson; Institute of Analysis and Scientific Computing, 2022; oral examination: 2022-04-27.

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  2. C.-M. Pfeiler:
    "Numerical analysis and efficient simulation of micromagnetic phenomena";
    Supervisor, Reviewer: D. Praetorius, S. Bartels, N. Mauser; Institute of Analysis and Scientific Computing, 2022; oral examination: 2022-03-17.

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