A Survey on the Numerics and Computations for the Landau-Lifshitz Equation of Micromagnetism
暂无分享,去创建一个
[1] I. Cimrák. Convergence result for the constraint preserving mid-point scheme for micromagnetism , 2009 .
[2] Andreas Prohl,et al. Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres , 2008, Numerische Mathematik.
[3] I. Cimrák. Regularity properties of the solutions to the 3D Maxwell-Landau-Lifshitz system in weighted Sobolev spaces , 2008 .
[4] Andreas Prohl,et al. A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation , 2008, SIAM J. Numer. Anal..
[5] G. Bertotti,et al. Generalized Landau–Lifshitz–Gilbert equation for uniformly magnetized bodies , 2008 .
[6] Roger Van Keer,et al. Level set method for optimal shape design of MRAM core. Micromagnetic approach , 2008 .
[7] Andreas Prohl,et al. Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation , 2007, Math. Comput..
[8] Andreas Prohl,et al. Constraint preserving implicit finite element discretization of harmonic map flow into spheres , 2007, Math. Comput..
[9] Ivan Cimrák,et al. Error analysis of a numerical scheme for 3D Maxwell–Landau–Lifshitz system , 2007 .
[10] Ivan Cimrák,et al. Existence, regularity and local uniqueness of the solutions to the Maxwell–Landau–Lifshitz system in three dimensions☆ , 2007 .
[11] John W. Barrett,et al. A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres , 2007, SIAM J. Numer. Anal..
[12] V. Melicher,et al. Sensitivity analysis framework for micromagnetism with application to the optimal shape design of magnetic random access memories , 2007 .
[13] Sören Bartels,et al. Constraint Preserving, Inexact Solution of Implicit Discretizations of Landau–Lifshitz–Gilbert Equations and Consequences for Convergence , 2006 .
[14] V. Melicher,et al. The Landau‐Lifshitz model for shape optimization of MRAM memories , 2006 .
[15] Andreas Prohl,et al. Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation , 2006, SIAM J. Numer. Anal..
[16] Andreas Prohl,et al. Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism , 2006, SIAM Rev..
[17] François Alouges,et al. CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU¿LIFSHITZ EQUATIONS IN MICROMAGNETISM , 2006 .
[18] H. Lee,et al. Mapping the Monte Carlo scheme to Langevin dynamics: a Fokker-Planck approach. , 2006, Physical review letters.
[19] M. d’Aquino,et al. Geometrical integration of Landau-Lifshitz-Gilbert equation based on the mid-point rule , 2005 .
[20] Ivan Cimrák,et al. Error estimates for a semi-implicit numerical scheme solving the Landau-Lifshitz equation with an exchange field , 2005 .
[21] I. Cimrák,et al. Improved error estimates for a Maxwell‐Landau‐Lifschitz system , 2004 .
[22] Marián Slodicka,et al. A numerical scheme for a Maxwell-Landau-Lifshitz-Gilbert system , 2004, Appl. Math. Comput..
[23] Marián Slodička,et al. An iterative approximation scheme for the Landau-Lifshitz-Gilbert equation , 2004 .
[24] Lubomír Bañas,et al. Numerical Methods for the Landau-Lifshitz-Gilbert Equation , 2004, NAA.
[25] Ivan Cimrák,et al. Numerical study of nonlinear ferromagnetic materials , 2003 .
[26] Peter Monk,et al. Finite Element Methods for Maxwell's Equations , 2003 .
[27] D. Lewis,et al. Geometric integration on spheres and some interesting applications , 2003, 1112.0547.
[28] R. Kubo. Statistical Physics II: Nonequilibrium Statistical Mechanics , 2003 .
[29] Werner Scholz,et al. The effect of the cell size in Langevin micromagnetic simulations , 2002 .
[30] Xiaobo Tan,et al. Cayley transforms in micromagnetics , 2001 .
[31] B. Guo,et al. NEUMANN PROBLEM FOR THE LANDAU-LIFSHITZ-MAXWELL SYSTEM IN TWO DIMENSIONS , 2001 .
[32] Werner Scholz,et al. Micromagnetic simulation of thermally activated switching in fine particles , 2001 .
[33] Peter Monk,et al. Accurate discretization of a non-linear micromagnetic problem , 2001 .
[34] Isaak D. Mayergoyz,et al. Numerical technique for integration of the Landau–Lifshitz equation , 2001 .
[35] P. Podio-Guidugli,et al. On dissipation mechanisms in micromagnetics , 2001 .
[36] G. Bertotti,et al. Nonlinear magnetization dynamics under circularly polarized field. , 2001, Physical review letters.
[37] Gilles Carbou,et al. Regular solutions for Landau-Lifschitz equation in a bounded domain , 2001, Differential and Integral Equations.
[38] E Weinan,et al. Numerical Methods for the Landau-Lifshitz Equation , 2000, SIAM J. Numer. Anal..
[39] D. Lewis,et al. A geometric integration algorithm with applications to micromagnetics , 2000 .
[40] Isaak D. Mayergoyz,et al. Coupling between eddy currents and Landau–Lifshitz dynamics , 2000 .
[41] O. Vacus,et al. Error Estimates for a Numerical Scheme for Ferromagnetic Problems , 1999 .
[42] F. Lázaro,et al. Langevin-dynamics study of the dynamical properties of small magnetic particles , 1998 .
[43] Gilles Carbou,et al. Time Average in Micromagnetism , 1998 .
[44] Boling Guo,et al. The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps , 1993 .
[45] François Alouges,et al. On global weak solutions for Landau-Lifshitz equations: existence and nonuniqueness , 1992 .
[46] J. W. Brown. Thermal Fluctuations of a Single-Domain Particle , 1963 .
[47] M. Bellac,et al. Nonequilibrium statistical mechanics , 2007, Physics Subject Headings (PhySH).
[48] L'ubomír Baňas,et al. Adaptive Methods for Dynamical Micromagnetics , 2006 .
[49] Pilar Salgado,et al. Numerical mathematics and advance applications : Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005 , 2006 .
[50] Sören Bartels,et al. Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps , 2005, SIAM J. Numer. Anal..
[51] T. Chan,et al. Multiple level set methods with applications for identifying piecewise constant functions , 2004 .
[52] Marián Slodička,et al. Optimal convergence rate for Maxwell-Landau-Lifschitz system , 2004 .
[53] T. Schrefl,et al. The effect of the spatial correlation length in Langevin micromagnetic simulations , 2001 .
[54] M. Toda,et al. In: Statistical physics II , 1985 .
[55] Jd Landes,et al. Recent Developments in J Ic Testing , 1977 .
[56] T. Gilbert. A Lagrangian Formulation of the Gyromagnetic Equation of the Magnetization Field , 1955 .
[57] Lev Davidovich Landau,et al. ON THE THEORY OF THE DISPERSION OF MAGNETIC PERMEABILITY IN FERROMAGNETIC BODIES , 1935 .