Publications

Summary

Submitted preprints

  1. F. Bonizzoni, D. Pradovera, M. Ruggeri: Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots. Submitted for publication (2021) [arXiv:2112.04302]

Journal articles

  1. G. Di Fratta, C.-M. Pfeiler, M. Ruggeri, D. Praetorius: The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics. Computational Methods in Applied Mathematics (2022). DOI: 10.1515/cmam-2022-0060 [article] [arXiv:2203.06445]

  2. M. Ruggeri: Numerical analysis of the Landau-Lifshitz-Gilbert with inertial effects. ESAIM: Mathematical Modelling and Numerical Analysis (2022). DOI: 10.1051/m2an/2022043 [article] [arXiv:2103.09888]

  3. A. Bespalov, D. Praetorius, M. Ruggeri: Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. IMA Journal of Numerical Analysis (2021). DOI: 10.1093/imanum/drab036 [article] [arXiv:2103.13926]

  4. E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri: Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Mathematical Models and Methods in Applied Sciences 32, 5 (2022), 911-939. DOI: 10.1142/S0218202522500208 [article] [arXiv:2010.15541]

  5. N. J. Mauser, C.-M. Pfeiler, M. Ruggeri, D. Praetorius: Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics. Applied Numerical Mathematics 180 (2022), 33-54. [article] [arXiv:2112.00451]

  6. R. H. Nochetto, M. Ruggeri, S. Yang: Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model. SIAM Journal on Numerical Analysis 60, 2 (2022), 856-887. DOI: 10.1137/21M1407495 [article] [arXiv:2103.13926]

  7. A. Bespalov, D. Praetorius, M. Ruggeri: Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. SIAM/ASA Journal on Uncertainty Quantification 9, 3 (2021), 1184-1216. DOI: 10.1137/20M1342586 [article] [arXiv:2006.02255]

  8. D. Praetorius, M. Ruggeri, E. P. Stephan: The saturation assumption yields optimal convergence of two-level adaptive BEM. Applied Numerical Mathematics 152 (2020), 105-124. DOI: 10.1016/j.apnum.2020.01.014 [article] [arXiv:1907.06612]

  9. 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 Journal of Numerical Analysis 40, 4 (2020), 2802-2838. DOI: 10.1093/imanum/drz046 [article] [arXiv:1711.10715]

  10. C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N. J. Mauser, D. Praetorius: Computational micromagnetics with Commics. Computer Physics Communications 248 (2020), 106965. DOI: 10.1016/j.cpc.2019.106965 [article] [arXiv:1812.05931]

  11. A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri: Convergence of adaptive stochastic Galerkin FEM. SIAM Journal of Numerical Analysis 57, 5 (2019), 2359-2382. DOI: 10.1137/18M1229560 [article] [arXiv:1811.09462]

  12. 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. DOI: 10.1016/j.jcp.2019.108866 [article] [arXiv:1808.10281]

  13. 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, 3 (2019), 1329-1368. DOI: 10.1007/s10444-019-09667-z [article] [arXiv:1712.03795]

  14. 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. DOI: 10.1016/j.cma.2018.10.041 [article] [arXiv:1806.03928]

  15. D. Praetorius, M. Ruggeri, B. Stiftner: Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Computers & Mathematics with Applications 75, 5 (2017), 1719-1738. DOI: 10.1016/j.camwa.2017.11.028 [article] [arXiv:1611.02465]

  16. C. Abert, M. Ruggeri, F. Bruckner, C. Vogler, A. Manchon, D. Praetorius, D. Suess: A self-consistent spin-diffusion model for micromagnetics. Scientific Reports 6 (2016), 16. DOI: 10.1038/s41598-016-0019-y [article] [arXiv:1512.05519]

  17. M. Ruggeri, C. Abert, G. Hrkac, D. Suess, D. Praetorius: Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: A step towards a fully self-consistent spintronics framework. Physica B: Condensed Matter 486 (2016), 88-91. DOI: 10.1016/j.physb.2015.09.003 [article] [ASC Report 23/2015]

  18. C. Abert, M. Ruggeri, F. Bruckner, C. Vogler, G. Hrkac, D. Praetorius, D. Suess: A three-dimensional spin-diffusion model for micromagnetics. Scientific Reports 5 (2015), 14855. DOI: 10.1038/srep14855 [article] [arXiv:1410.6067]

  19. D. Boffi, L. Gastaldi, M. Ruggeri: Mixed formulation for interface problems with distributed Lagrange multiplier. Computers & Mathematics with Applications 68, 12 (2014), 2151–2166. DOI: 10.1016/j.camwa.2014.07.020 [article] [ASC Report 19/2014]

  20. C. Abert, G. Hrkac, M. Page, D. Praetorius, M. Ruggeri, D. Suess: Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator. Computers & Mathematics with Applications 68, 6 (2014), 639-654. DOI: 10.1016/j.camwa.2014.07.010 [article] [arXiv:1402.0983]

  21. F. Bruckner, M. Feischl, T. Führer, P. Goldenits, M. Page, D. Praetorius, M. Ruggeri, D. Suess: Multiscale modeling in micromagnetics: Existence of solutions and numerical integration. Mathematical Models and Methods in Applied Sciences 24, 13 (2014), 2627-2662. DOI: 10.1142/S0218202514500328 [article] [arXiv:1209.5548]

Conference proceedings

  1. M. Ruggeri, D. Praetorius, B. Stiftner: Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation. Oberwolfach Reports 13 (2016), 2909-2940. DOI: 10.4171/OWR/2016/51 [article]

  2. M. L. Della Vedova, M. Ruggeri, T. Facchinetti: On real-time physical systems. Proceedings of 18th International Conference on Real-Time and Network Systems (RTNS), November 2010, Toulouse, France [hal-00544477]

Technical report

  1. T. S. Gutleb, N. J. Mauser, M. Ruggeri, H.-P. Stimming: A time splitting method for the three-dimensional linear Pauli equation. [arXiv:2005.06072]

Theses

  1. M. Ruggeri: Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation. PhD thesis, TU Wien (2016) [link]

  2. M. Ruggeri: Fictitious domain method with distributed Lagrange multiplier for elliptic interface problems. Diploma thesis, Scuola Universitaria Superiore IUSS (2013)

  3. M. Ruggeri: Discontinuous Petrov Galerkin method for acoustic scattering problems. Master thesis, University of Pavia (2013)

  4. M. Ruggeri: Generalized finite element methods and meshless methods. Bachelor thesis, University of Pavia (2010)

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