Liu, Mingru; Huang, Pengzhan; He, Yinnian A linearized Crank-Nicolson/leapfrog scheme for the Landau-Lifshitz equation. (English) Zbl 07731148 Rocky Mt. J. Math. 53, No. 3, 821-837 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 82D40 78A25 35Q60 PDFBibTeX XMLCite \textit{M. Liu} et al., Rocky Mt. J. Math. 53, No. 3, 821--837 (2023; Zbl 07731148) Full Text: DOI Link
Giesselmann, Jan; Mäder-Baumdicker, Elena; Stonner, David Jakob A posteriori error estimates for wave maps into spheres. (English) Zbl 07723895 Adv. Comput. Math. 49, No. 4, Paper No. 54, 31 p. (2023). MSC: 35L71 35B44 PDFBibTeX XMLCite \textit{J. Giesselmann} et al., Adv. Comput. Math. 49, No. 4, Paper No. 54, 31 p. (2023; Zbl 07723895) Full Text: DOI arXiv
Gui, Xinping; Li, Buyang; Wang, Jilu Convergence of renormalized finite element methods for heat flow of harmonic maps. (English) Zbl 07714593 SIAM J. Numer. Anal. 60, No. 1, 312-338 (2022). MSC: 65M60 65M12 65M15 35K55 35Q35 PDFBibTeX XMLCite \textit{X. Gui} et al., SIAM J. Numer. Anal. 60, No. 1, 312--338 (2022; Zbl 07714593) Full Text: DOI
Ruggeri, Michele Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects. (English) Zbl 1497.65180 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1199-1222 (2022). MSC: 65M60 65M06 65N30 65M12 65Z05 35K61 35B35 35D30 35A01 35A02 82D40 78A60 35Q60 PDFBibTeX XMLCite \textit{M. Ruggeri}, ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1199--1222 (2022; Zbl 1497.65180) Full Text: DOI arXiv
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal error estimates of linearized second-order BDF Galerkin FEMs for the Landau-Lifshitz equation. (English) Zbl 1459.65191 Appl. Numer. Math. 159, 21-45 (2021). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{Y.-B. Yang} and \textit{Y.-L. Jiang}, Appl. Numer. Math. 159, 21--45 (2021; Zbl 1459.65191) Full Text: DOI
Gutiérrez-Santacreu, Juan Vicente; Restelli, Marco Inf-sup stable finite element methods for the Landau-Lifshitz-Gilbert and harmonic map heat flow equations. (English) Zbl 1403.65070 SIAM J. Numer. Anal. 55, No. 6, 2565-2591 (2017). MSC: 65M60 35K55 35Q60 65M12 PDFBibTeX XMLCite \textit{J. V. Gutiérrez-Santacreu} and \textit{M. Restelli}, SIAM J. Numer. Anal. 55, No. 6, 2565--2591 (2017; Zbl 1403.65070) Full Text: DOI arXiv
An, Rong Optimal error estimates of linearized Crank-Nicolson Galerkin method for Landau-Lifshitz equation. (English) Zbl 1352.78013 J. Sci. Comput. 69, No. 1, 1-27 (2016). MSC: 78M10 65N12 65N30 35K61 65N15 78M20 82D40 PDFBibTeX XMLCite \textit{R. An}, J. Sci. Comput. 69, No. 1, 1--27 (2016; Zbl 1352.78013) Full Text: DOI
Cohen, David; Verdier, Olivier Multisymplectic discretization of wave map equations. (English) Zbl 1382.65237 SIAM J. Sci. Comput. 38, No. 2, A953-A972 (2016). MSC: 65M06 35L53 37K10 37M15 65P10 PDFBibTeX XMLCite \textit{D. Cohen} and \textit{O. Verdier}, SIAM J. Sci. Comput. 38, No. 2, A953--A972 (2016; Zbl 1382.65237) Full Text: DOI arXiv
Baňas, Ľubomír; Brzeźniak, Zdzisław; Neklyudov, Mikhail; Ondreját, Martin; Prohl, Andreas Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere. (English) Zbl 1363.58015 Czech. Math. J. 65, No. 3, 617-657 (2015). Reviewer: Jean Picard (Aubière) MSC: 58J65 60J60 60H35 37A25 60H10 65C30 65C20 60H15 PDFBibTeX XMLCite \textit{Ľ. Baňas} et al., Czech. Math. J. 65, No. 3, 617--657 (2015; Zbl 1363.58015) Full Text: DOI arXiv Link
Bartels, Sören Fast and accurate finite element approximation of wave maps into spheres. (English) Zbl 1316.65085 ESAIM, Math. Model. Numer. Anal. 49, No. 2, 551-558 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 58J45 35L70 35Q75 65M12 PDFBibTeX XMLCite \textit{S. Bartels}, ESAIM, Math. Model. Numer. Anal. 49, No. 2, 551--558 (2015; Zbl 1316.65085) Full Text: DOI
Baňas, Ľubomír; Prohl, Andreas; Schätzle, Reiner Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. (English) Zbl 1203.65174 Numer. Math. 115, No. 3, 395-432 (2010). Reviewer: Pavel Burda (Praha) MSC: 65M60 65M12 35K55 35Q35 PDFBibTeX XMLCite \textit{Ľ. Baňas} et al., Numer. Math. 115, No. 3, 395--432 (2010; Zbl 1203.65174) Full Text: DOI
Cimrák, Ivan A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism. (English) Zbl 1206.78008 Arch. Comput. Methods Eng. 15, No. 3, 277-309 (2008). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A25 76E25 78M25 PDFBibTeX XMLCite \textit{I. Cimrák}, Arch. Comput. Methods Eng. 15, No. 3, 277--309 (2008; Zbl 1206.78008) Full Text: DOI