Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics. (English) Zbl 07697878 Comput. Methods Appl. Math. 23, No. 1, 145-175 (2023). MSC: 65-XX 35K55 65M12 65M22 65M60 65Z05 PDFBibTeX XMLCite \textit{G. Di Fratta} et al., Comput. Methods Appl. Math. 23, No. 1, 145--175 (2023; Zbl 07697878) Full Text: DOI arXiv
Di Fratta, Giovanni; Jüngel, Ansgar; Praetorius, Dirk; Slastikov, Valeriy Spin-diffusion model for micromagnetics in the limit of long times. (English) Zbl 1503.35217 J. Differ. Equations 343, 467-494 (2023). MSC: 35Q60 78A25 82D40 35B40 35A01 35A02 35C20 35D30 35D35 35G20 35G25 49S05 PDFBibTeX XMLCite \textit{G. Di Fratta} et al., J. Differ. Equations 343, 467--494 (2023; Zbl 1503.35217) Full Text: DOI arXiv
Mauser, Norbert J.; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics. (English) Zbl 1502.65136 Appl. Numer. Math. 180, 33-54 (2022). MSC: 65M60 65M06 65N30 65M12 78A25 78M10 78M20 35Q60 35Q55 PDFBibTeX XMLCite \textit{N. J. Mauser} et al., Appl. Numer. Math. 180, 33--54 (2022; Zbl 1502.65136) Full Text: DOI arXiv
Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. (English) Zbl 1492.78005 Math. Models Methods Appl. Sci. 32, No. 5, 911-939 (2022). MSC: 78A30 82D40 35Q51 49J45 49S05 78M10 65M12 PDFBibTeX XMLCite \textit{E. Davoli} et al., Math. Models Methods Appl. Sci. 32, No. 5, 911--939 (2022; Zbl 1492.78005) Full Text: DOI arXiv
Pfeiler, Carl-Martin; Ruggeri, Michele; Stiftner, Bernhard; Exl, Lukas; Hochsteger, Matthias; Hrkac, Gino; Schöberl, Joachim; Mauser, Norbert J.; Praetorius, Dirk Computational micromagnetics with Commics. (English) Zbl 07678470 Comput. Phys. Commun. 248, Article ID 106965, 11 p. (2020). MSC: 78-XX 82-XX PDFBibTeX XMLCite \textit{C.-M. Pfeiler} et al., Comput. Phys. Commun. 248, Article ID 106965, 11 p. (2020; Zbl 07678470) Full Text: DOI arXiv
Di Fratta, Giovanni; Innerberger, Michael; Praetorius, Dirk Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics. (English) Zbl 1451.35205 Nonlinear Anal., Real World Appl. 55, Article ID 103122, 13 p. (2020). MSC: 35Q60 82D40 35D30 35D35 35R09 PDFBibTeX XMLCite \textit{G. Di Fratta} et al., Nonlinear Anal., Real World Appl. 55, Article ID 103122, 13 p. (2020; Zbl 1451.35205) Full Text: DOI arXiv
Kraus, Johannes; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. (English) Zbl 1453.82102 J. Comput. Phys. 398, Article ID 108866, 27 p. (2019). MSC: 82M10 82D40 65F08 65M60 65Z05 PDFBibTeX XMLCite \textit{J. Kraus} et al., J. Comput. Phys. 398, Article ID 108866, 27 p. (2019; Zbl 1453.82102) Full Text: DOI arXiv
Hrkac, Gino; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Segatti, Antonio; Stiftner, Bernhard Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. (English) Zbl 1415.78008 Adv. Comput. Math. 45, No. 3, 1329-1368 (2019). MSC: 78M10 65M60 35K55 35Q60 65M12 PDFBibTeX XMLCite \textit{G. Hrkac} et al., Adv. Comput. Math. 45, No. 3, 1329--1368 (2019; Zbl 1415.78008) Full Text: DOI arXiv
Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. (English) Zbl 1409.65075 Comput. Math. Appl. 75, No. 5, 1719-1738 (2018). MSC: 65M60 65M12 82D40 PDFBibTeX XMLCite \textit{D. Praetorius} et al., Comput. Math. Appl. 75, No. 5, 1719--1738 (2018; Zbl 1409.65075) Full Text: DOI arXiv
Le, Kim-Ngan; Page, Marcus; Praetorius, Dirk; Tran, Thanh On a decoupled linear FEM integrator for eddy-current-LLG. (English) Zbl 1316.65087 Appl. Anal. 94, No. 5, 1051-1067 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 65M60 65M12 35K55 78A30 78M10 35Q61 35Q56 PDFBibTeX XMLCite \textit{K.-N. Le} et al., Appl. Anal. 94, No. 5, 1051--1067 (2015; Zbl 1316.65087) Full Text: DOI arXiv
Abert, Claas; Hrkac, Gino; Page, Marcus; Praetorius, Dirk; Ruggeri, Michele; Suess, Dieter Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator. (English) Zbl 1361.82041 Comput. Math. Appl. 68, No. 6, 639-654 (2014). MSC: 82D80 82C70 82C80 65M60 PDFBibTeX XMLCite \textit{C. Abert} et al., Comput. Math. Appl. 68, No. 6, 639--654 (2014; Zbl 1361.82041) Full Text: DOI arXiv
Bruckner, F.; Suess, D.; Feischl, M.; Führer, T.; Goldenits, P.; Page, M.; Praetorius, D.; Ruggeri, M. Multiscale modeling in micromagnetics: existence of solutions and numerical integration. (English) Zbl 1320.35336 Math. Models Methods Appl. Sci. 24, No. 13, 2627-2662 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q60 65N30 78M10 78M15 PDFBibTeX XMLCite \textit{F. Bruckner} et al., Math. Models Methods Appl. Sci. 24, No. 13, 2627--2662 (2014; Zbl 1320.35336) Full Text: DOI arXiv
Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk Mixed conforming elements for the large-body limit in micromagnetics. (English) Zbl 1285.65076 Math. Models Methods Appl. Sci. 24, No. 1, 113-144 (2014). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 65N30 65K10 65N15 78M10 78M50 78A25 35Q60 PDFBibTeX XMLCite \textit{M. Aurada} et al., Math. Models Methods Appl. Sci. 24, No. 1, 113--144 (2014; Zbl 1285.65076) Full Text: DOI