Di Fratta, Giovanni; Fiorenza, Alberto; Slastikov, Valeriy On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces. (English) Zbl 07817691 Math. Eng. (Springfield) 5, No. 3, Paper No. 56, 38 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{G. Di Fratta} et al., Math. Eng. (Springfield) 5, No. 3, Paper No. 56, 38 p. (2023; Zbl 07817691) Full Text: DOI arXiv
Leitenmaier, Lena; Nazarov, Murtazo A finite element based heterogeneous multiscale method for the Landau-Lifshitz equation. (English) Zbl 07788125 J. Comput. Phys. 486, Article ID 112112, 16 p. (2023). MSC: 65Mxx 65Nxx 35Bxx PDFBibTeX XMLCite \textit{L. Leitenmaier} and \textit{M. Nazarov}, J. Comput. Phys. 486, Article ID 112112, 16 p. (2023; Zbl 07788125) Full Text: DOI arXiv
Moumni, M.; Douiri, S. M.; Kim, J. S. Fourier-spectral method for the Landau-Lifshitz-Gilbert equation in micromagnetism. (English) Zbl 07773382 Results Appl. Math. 19, Article ID 100380, 7 p. (2023). MSC: 78A25 35Q60 35B40 65M12 65M70 PDFBibTeX XMLCite \textit{M. Moumni} et al., Results Appl. Math. 19, Article ID 100380, 7 p. (2023; Zbl 07773382) Full Text: DOI
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
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
Bohn, Jan; Feischl, Michael; Kovács, Balázs FEM-BEM coupling for the Maxwell-Landau-Lifshitz-Gilbert equations via convolution quadrature: weak form and numerical approximation. (English) Zbl 1512.65208 Comput. Methods Appl. Math. 23, No. 1, 19-48 (2023). MSC: 65M60 35Q61 65D32 65M12 65M38 PDFBibTeX XMLCite \textit{J. Bohn} et al., Comput. Methods Appl. Math. 23, No. 1, 19--48 (2023; Zbl 1512.65208) Full Text: DOI
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
Moumni, M.; Tilioua, M. A neural network approximation for a model of micromagnetism. (English) Zbl 1524.78009 Nonlinear Dyn. Syst. Theory 22, No. 4, 432-446 (2022). MSC: 78A25 35Q60 35B40 93-10 68Q32 68T05 68T09 82D40 35A20 49M41 68T07 35R02 PDFBibTeX XMLCite \textit{M. Moumni} and \textit{M. Tilioua}, Nonlinear Dyn. Syst. Theory 22, No. 4, 432--446 (2022; Zbl 1524.78009) Full Text: Link
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
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
Mohammed, Moumni; Mouhcine, Tilioua A finite element approximation of a current-induced magnetization dynamics model. (English) Zbl 1499.78023 J. Math. Model. 10, No. 1, 53-69 (2022). MSC: 78M10 78A25 35Q60 35B40 35K55 65M12 65M60 82D40 35D30 PDFBibTeX XMLCite \textit{M. Mohammed} and \textit{T. Mouhcine}, J. Math. Model. 10, No. 1, 53--69 (2022; Zbl 1499.78023) Full Text: DOI
Cai, Yongyong; Chen, Jingrun; Wang, Cheng; Xie, Changjian A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. (English) Zbl 07517150 J. Comput. Phys. 451, Article ID 110831, 12 p. (2022). MSC: 65Mxx 82Dxx 35Qxx PDFBibTeX XMLCite \textit{Y. Cai} et al., J. Comput. Phys. 451, Article ID 110831, 12 p. (2022; Zbl 07517150) Full Text: DOI arXiv
Nguyen, Tram Thi Ngoc; Wald, Anne On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in magnetic particle imaging. (English) Zbl 07464243 Inverse Probl. Imaging 16, No. 1, 89-117 (2022). MSC: 65-XX 35R30 65M32 65N21 PDFBibTeX XMLCite \textit{T. T. N. Nguyen} and \textit{A. Wald}, Inverse Probl. Imaging 16, No. 1, 89--117 (2022; Zbl 07464243) Full Text: DOI arXiv
Chen, Jingrun; Wang, Cheng; Xie, Changjian Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation. (English) Zbl 1469.82037 Appl. Numer. Math. 168, 55-74 (2021). MSC: 82D40 35Q60 65M06 65N06 65M12 78M20 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Numer. Math. 168, 55--74 (2021; Zbl 1469.82037) Full Text: DOI arXiv
Akrivis, Georgios; Feischl, Michael; Kovács, Balázs; Lubich, Christian Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. (English) Zbl 1466.65114 Math. Comput. 90, No. 329, 995-1038 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 65L04 35Q60 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Math. Comput. 90, No. 329, 995--1038 (2021; Zbl 1466.65114) 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
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
Xie, Changjian; García-Cervera, Carlos J.; Wang, Cheng; Zhou, Zhennan; Chen, Jingrun Second-order semi-implicit projection methods for micromagnetics simulations. (English) Zbl 1453.82093 J. Comput. Phys. 404, Article ID 109104, 14 p. (2020). MSC: 82D40 82M20 65M22 65M06 PDFBibTeX XMLCite \textit{C. Xie} et al., J. Comput. Phys. 404, Article ID 109104, 14 p. (2020; Zbl 1453.82093) Full Text: DOI arXiv Link
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
Goldys, Beniamin; Grotowski, Joseph F.; Le, Kim-Ngan Weak martingale solutions to the stochastic Landau-Lifshitz-Gilbert equation with multi-dimensional noise via a convergent finite-element scheme. (English) Zbl 1433.35380 Stochastic Processes Appl. 130, No. 1, 232-261 (2020). MSC: 35Q60 35K55 35R60 60H15 65L60 65L20 65C30 35A01 35D30 82D40 60H10 34F05 65N30 35R09 78A25 PDFBibTeX XMLCite \textit{B. Goldys} et al., Stochastic Processes Appl. 130, No. 1, 232--261 (2020; Zbl 1433.35380) 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
Froyland, Gary; Junge, Oliver Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories. (English) Zbl 1408.37139 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1891-1924 (2018). MSC: 37M25 65L60 37K25 PDFBibTeX XMLCite \textit{G. Froyland} and \textit{O. Junge}, SIAM J. Appl. Dyn. Syst. 17, No. 2, 1891--1924 (2018; Zbl 1408.37139) Full Text: DOI arXiv
Kim, Eugenia; Wilkening, Jon Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation. (English) Zbl 1387.78009 Q. Appl. Math. 76, No. 2, 383-405 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65M60 35Q60 35D30 PDFBibTeX XMLCite \textit{E. Kim} and \textit{J. Wilkening}, Q. Appl. Math. 76, No. 2, 383--405 (2018; Zbl 1387.78009) Full Text: DOI arXiv
Kim, Eugenia; Lipnikov, Konstantin The mimetic finite difference method for the Landau-Lifshitz equation. (English) Zbl 1406.78022 J. Comput. Phys. 328, 109-130 (2017). MSC: 78M20 35Q60 PDFBibTeX XMLCite \textit{E. Kim} and \textit{K. Lipnikov}, J. Comput. Phys. 328, 109--130 (2017; Zbl 1406.78022) Full Text: DOI arXiv
Dwivedi, Sharad; Dubey, Shruti On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires. (English) Zbl 1382.35286 J. Appl. Anal. 23, No. 2, 89-100 (2017). Reviewer: Jiang Xue (Beijing) MSC: 35Q60 35B35 35K55 82D40 82D77 PDFBibTeX XMLCite \textit{S. Dwivedi} and \textit{S. Dubey}, J. Appl. Anal. 23, No. 2, 89--100 (2017; Zbl 1382.35286) Full Text: DOI
Feischl, Michael; Tran, Thanh Existence of regular solutions of the Landau-Lifshitz-Gilbert equation in 3D with natural boundary conditions. (English) Zbl 1382.35245 SIAM J. Math. Anal. 49, No. 6, 4470-4490 (2017). Reviewer: Eric Stachura (Haverford) MSC: 35Q40 35K55 65L60 65L20 82D45 35Q60 35B65 PDFBibTeX XMLCite \textit{M. Feischl} and \textit{T. Tran}, SIAM J. Math. Anal. 49, No. 6, 4470--4490 (2017; Zbl 1382.35245) 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
Feischl, Michael; Tran, Thanh The eddy current-LLG equations: FEM-BEM coupling and a priori error estimates. (English) Zbl 1378.35291 SIAM J. Numer. Anal. 55, No. 4, 1786-1819 (2017). Reviewer: Jichun Li (Las Vegas) MSC: 35Q60 65L60 78A30 35K55 35B45 78M10 78M15 PDFBibTeX XMLCite \textit{M. Feischl} and \textit{T. Tran}, SIAM J. Numer. Anal. 55, No. 4, 1786--1819 (2017; Zbl 1378.35291) Full Text: DOI arXiv
Moumni, M.; Tilioua, M. A finite-difference scheme for a model of magnetization dynamics with inertial effects. (English) Zbl 1379.78014 J. Eng. Math. 100, 95-106 (2016); erratum ibid. 100, 107–108 (2016). MSC: 78M20 78A25 35Q60 35B40 65M06 PDFBibTeX XMLCite \textit{M. Moumni} and \textit{M. Tilioua}, J. Eng. Math. 100, 95--106 (2016; Zbl 1379.78014) Full Text: DOI
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
Ableidinger, M.; Buckwar, E. Splitting integrators for the stochastic Landau-Lifshitz equation. (English) Zbl 1342.60111 SIAM J. Sci. Comput. 38, No. 3, A1788-A1806 (2016). MSC: 60H35 60H10 65C30 PDFBibTeX XMLCite \textit{M. Ableidinger} and \textit{E. Buckwar}, SIAM J. Sci. Comput. 38, No. 3, A1788--A1806 (2016; Zbl 1342.60111) Full Text: DOI
Bartels, Sören Projection-free approximation of geometrically constrained partial differential equations. (English) Zbl 1332.65161 Math. Comput. 85, No. 299, 1033-1049 (2016). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Bartels}, Math. Comput. 85, No. 299, 1033--1049 (2016; Zbl 1332.65161) Full Text: DOI Link
Goldys, Beniamin; Le, Kim-Ngan; Tran, Thanh A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation. (English) Zbl 1364.35449 J. Differ. Equations 260, No. 2, 937-970 (2016). Reviewer: Dimitra Antonopoulou (Cheshire) MSC: 35R60 60H15 65L60 65L20 PDFBibTeX XMLCite \textit{B. Goldys} et al., J. Differ. Equations 260, No. 2, 937--970 (2016; Zbl 1364.35449) Full Text: DOI arXiv
Kumazaki, Kota; Ishiwata, Tetsuya Structure preserving finite difference scheme for the Landau-Lifshitz equation with applied magnetic field. (English) Zbl 1335.65073 Discrete Contin. Dyn. Syst. 2015, Suppl., 644-651 (2015). MSC: 65M06 35K55 35Q60 PDFBibTeX XMLCite \textit{K. Kumazaki} and \textit{T. Ishiwata}, Discrete Contin. Dyn. Syst. 2015, 644--651 (2015; Zbl 1335.65073) Full Text: DOI
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
Bartels, Sören; Hornung, Peter Bending paper and the Möbius strip. (English) Zbl 1464.74025 J. Elasticity 119, No. 1-2, 113-136 (2015). MSC: 74B20 74G65 74G10 53Z05 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{P. Hornung}, J. Elasticity 119, No. 1--2, 113--136 (2015; Zbl 1464.74025) Full Text: DOI
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
Kritsikis, E.; Vaysset, A.; Buda-Prejbeanu, L. D.; Alouges, F.; Toussaint, J.-C. Beyond first-order finite element schemes in micromagnetics. (English) Zbl 1349.78068 J. Comput. Phys. 256, 357-366 (2014). MSC: 78M10 65M60 78A30 78A48 82D40 65T50 PDFBibTeX XMLCite \textit{E. Kritsikis} et al., J. Comput. Phys. 256, 357--366 (2014; Zbl 1349.78068) Full Text: DOI
Alouges, François; de Bouard, Anne; Hocquet, Antoine A semi-discrete scheme for the stochastic Landau-Lifshitz equation. (English) Zbl 1332.35348 Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 3, 281-315 (2014). Reviewer: Dirk Blömker (Augsburg) MSC: 35Q60 65Z05 35K55 60H15 35R60 65M12 35B45 PDFBibTeX XMLCite \textit{F. Alouges} et al., Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 3, 281--315 (2014; Zbl 1332.35348) 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
Alouges, François; Kritsikis, Evaggelos; Steiner, Jutta; Toussaint, Jean-Christophe A convergent and precise finite element scheme for Landau-Lifschitz-Gilbert equation. (English) Zbl 1334.78039 Numer. Math. 128, No. 3, 407-430 (2014). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 78M10 65M60 65M12 35Q60 35K55 PDFBibTeX XMLCite \textit{F. Alouges} et al., Numer. Math. 128, No. 3, 407--430 (2014; Zbl 1334.78039) 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
Le, Kim-Ngan; Tran, Thanh A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations. (English) Zbl 1350.65127 Comput. Math. Appl. 66, No. 8, 1389-1402 (2013). MSC: 65N30 65N12 78A30 78M10 35Q61 35Q60 35Q56 PDFBibTeX XMLCite \textit{K.-N. Le} and \textit{T. Tran}, Comput. Math. Appl. 66, No. 8, 1389--1402 (2013; Zbl 1350.65127) Full Text: DOI arXiv
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel Stability properties of steady-states for a network of ferromagnetic nanowires. (English) Zbl 1247.35173 J. Differ. Equations 253, No. 6, 1709-1728 (2012). MSC: 35Q82 35B35 82D37 PDFBibTeX XMLCite \textit{S. Labbé} et al., J. Differ. Equations 253, No. 6, 1709--1728 (2012; Zbl 1247.35173) Full Text: DOI
Bartels, Sören Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. (English) Zbl 1211.65151 Math. Comput. 79, No. 271, 1263-1301 (2010). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N12 58E20 PDFBibTeX XMLCite \textit{S. Bartels}, Math. Comput. 79, No. 271, 1263--1301 (2010; Zbl 1211.65151) Full Text: DOI
Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H. A finite element scheme for the evolution of orientational order in fluid membranes. (English) Zbl 1423.76210 ESAIM, Math. Model. Numer. Anal. 44, No. 1, 1-31 (2010). MSC: 76M10 92C37 35Q92 PDFBibTeX XMLCite \textit{S. Bartels} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 1, 1--31 (2010; Zbl 1423.76210) Full Text: DOI EuDML
Cimrák, Ivan Convergence result for the constraint preserving mid-point scheme for micromagnetism. (English) Zbl 1172.78002 J. Comput. Appl. Math. 228, No. 1, 238-246 (2009). Reviewer: Nina Shokina (Freiburg) MSC: 78A30 35Q60 65N12 PDFBibTeX XMLCite \textit{I. Cimrák}, J. Comput. Appl. Math. 228, No. 1, 238--246 (2009; Zbl 1172.78002) Full Text: DOI