NUMERICAL MICROMAGNETICS: A REVIEW
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[1] Stephen J. Wright,et al. Numerical Optimization , 2018, Fundamental Statistical Inference.
[2] Robert V. Kohn,et al. Effective dynamics for ferromagnetic thin films: a rigorous justification , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[3] Xiao-Ming Wu. Two dimensional Landau-Lifshitz equations in micromagnetism , 2000 .
[4] Guo Boling,et al. Global Weak Solution for the Landau–Lifshitz–Maxwell Equation in Three Space Dimensions , 1997 .
[5] Piet Hut,et al. A hierarchical O(N log N) force-calculation algorithm , 1986, Nature.
[6] N. Hayashi,et al. A numerical study of LaBonte's iteration: an approach to acceleration , 1996 .
[7] W. Brown,et al. Structure and Energy of One‐Dimensional Domain Walls in Ferromagnetic Thin Films , 1965 .
[8] Luis Vega,et al. Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations , 1998 .
[9] Thomas C. Anthony,et al. Thermal variations in switching fields for sub-micron MRAM cells , 2001 .
[10] Robert V. Kohn,et al. Magnetic Elements at Finite Temperature and Large Deviation Theory , 2005, Journal of nonlinear science.
[11] Isaak D. Mayergoyz,et al. Landau–Lifshitz magnetization dynamics and eddy currents in metallic thin films , 2002 .
[12] I. A. Privorotskii. Thermodynamic theory of domain structures , 1976 .
[13] Saied N. Tehrani,et al. Edge-pinned states in patterned submicron NiFeCo structures , 2000 .
[14] J. Bland,et al. Ultrathin Magnetic Structures III , 1994 .
[15] Lev Davidovich Landau,et al. ON THE THEORY OF THE DISPERSION OF MAGNETIC PERMEABILITY IN FERROMAGNETIC BODIES , 1935 .
[16] A. Hubert,et al. Magnetic Domains: The Analysis of Magnetic Microstructures , 2014 .
[17] Carlos J. García-Cervera,et al. SPIN-POLARIZED TRANSPORT: EXISTENCE OF WEAK SOLUTIONS , 2006 .
[18] Trond Steihaug,et al. Truncated-newtono algorithms for large-scale unconstrained optimization , 1983, Math. Program..
[19] I. B. Puchalska,et al. Magnetization process in Permalloy multilayer films , 1991 .
[20] Carlos J. García-Cervera,et al. One-dimensional magnetic domain walls , 2004, European Journal of Applied Mathematics.
[21] A. M. Roma,et al. Adaptive mesh refinement for micromagnetics simulations , 2006, IEEE Transactions on Magnetics.
[22] F. Lázaro,et al. Langevin-dynamics study of the dynamical properties of small magnetic particles , 1998 .
[23] Nilima Nigam,et al. Geometric integration on spheres and some interesting applications , 2003 .
[24] J. Tukey,et al. An algorithm for the machine calculation of complex Fourier series , 1965 .
[25] Luis Vega,et al. Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation , 2003 .
[26] Xiaobo Tan,et al. Cayley transforms in micromagnetics , 2001 .
[27] Jian-Gang Zhu,et al. Magnetization vortices and anomalous switching in patterned NiFeCo submicron arrays , 1999 .
[28] Luis Vega,et al. Self-similar solutions of the localized induction approximation: singularity formation , 2004 .
[29] J. M. Sanz-Serna,et al. Symplectic integrators for Hamiltonian problems: an overview , 1992, Acta Numerica.
[30] Werner Scholz,et al. Langevin micromagnetics of recording media using subgrain discretization , 2000 .
[31] E Weinan,et al. Energy landscape and thermally activated switching of submicron-sized ferromagnetic elements , 2003 .
[32] Jalal Shatah,et al. The stability of localized solutions of Landau‐Lifshitz equations , 2002 .
[33] Maria G. Reznikoff. Rare Events in Finite and Infinite Dimensions , 2004 .
[34] J. L. Blue,et al. Using multipoles decreases computation time for magnetostatic self-energy , 1991 .
[35] J. W. Brown. Thermal Fluctuations of a Single-Domain Particle , 1963 .
[36] J. L. Olsen,et al. Interscience Tracts on Physics and Astronomy, No. 12, Electron Transport in Metals , 1963 .
[37] I. G. BONNER CLAPPISON. Editor , 1960, The Electric Power Engineering Handbook - Five Volume Set.
[38] S. W. Yuan,et al. Fast adaptive algorithms for micromagnetics , 1992 .
[39] J. CARRIERt,et al. A FAST ADAPTIVE MULTIPOLE ALGORITHM FOR PARTICLE SIMULATIONS * , 2022 .
[40] R. Kubo. The fluctuation-dissipation theorem , 1966 .
[41] Christof Melcher,et al. Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ3 , 2005 .
[42] W. Heisenberg. Zur Theorie des Ferromagnetismus , 1928 .
[43] On Difference Schemes and Symplectic Geometry ? X1 Introductory Remarks , 2022 .
[44] Roger Moser. Partial Regularity for Harmonic Maps and Related Problems , 2005 .
[45] William L. Briggs,et al. A multigrid tutorial , 1987 .
[46] E Weinan,et al. Numerical Methods for the Landau-Lifshitz Equation , 2000, SIAM J. Numer. Anal..
[47] D. R. Fredkin,et al. Finite element methods for micromagnetics , 1992 .
[48] Luis Vega,et al. Small solutions to nonlinear Schrödinger equations , 1993 .
[49] Robert V. Kohn,et al. Domain Branching in Uniaxial Ferromagnets: A Scaling Law for the Minimum Energy , 1999 .
[50] Antonio DeSimone,et al. 2-d stability of the Néel wall , 2006 .
[51] Robert V. Kohn,et al. Repulsive Interaction of Néel Walls, and the Internal Length Scale of the Cross-Tie Wall , 2003, Multiscale Model. Simul..
[52] P. Weiss. L'hypothèse du champ moléculaire et la propriété ferromagnétique , 1907 .
[53] Felix Otto. Cross-over in Scaling Laws: A Simple Example from Micromagnetics , 2002 .
[54] S. Tsynkov. Numerical solution of problems on unbounded domains. a review , 1998 .
[55] Robert V. Kohn,et al. Magnetic microstructures - a paradigm of multiscale problems , 1999 .
[56] Rugang Ye,et al. Finite-time blow-up of the heat flow of harmonic maps from surfaces , 1992 .
[57] Jian Zhai,et al. Existence and behavior of solutions to the Landau-Lifshitz equation , 1999 .
[58] Nakao Hayashi,et al. Remarks on nonlinear Schrödinger equations in one space dimension , 1994, Differential and Integral Equations.
[59] Michael Struwe,et al. On the evolution of harmonic maps in higher dimensions , 1988 .
[60] Richard D. James,et al. Micromagnetics of very thin films , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[61] M. Lakshmanan,et al. Landau-Lifshitz equation of ferromagnetism: exact treatment of the Gilbert damping , 1984 .
[62] E Weinan,et al. Accurate numerical methods for micromagnetics simulations with general geometries , 2003 .
[63] Stephen J. Wright,et al. Numerical Optimization (Springer Series in Operations Research and Financial Engineering) , 2000 .
[64] Yasutaro Uesaka,et al. Direct Solution of the Landau-Lifshitz-Gilbert Equation for Micromagnetics , 1989 .
[65] J. Zabczyk,et al. Stochastic Equations in Infinite Dimensions , 2008 .
[66] Hans G. Kaper,et al. Hysteresis in layered spring magnets , 2001 .
[67] Christof Melcher,et al. The Logarithmic Tail of Néel Walls , 2003 .
[68] Hiroyuki Chihara,et al. LOCAL EXISTENCE FOR SEMILINEAR SCHRODINGER EQUATIONS , 1995 .
[69] M. Freidlin,et al. Random Perturbations of Dynamical Systems , 1984 .
[70] I. Bejenaru,et al. On Schrödinger maps , 2008 .
[71] Gallagher,et al. Thermally assisted magnetization reversal in submicron-sized magnetic thin films , 2000, Physical review letters.
[72] E Weinan,et al. Minimum action method for the study of rare events , 2004 .
[73] Antonio DeSimone,et al. A constrained theory of magnetoelasticity , 2002 .
[74] Antonio DeSimone,et al. Existence of Minimizers for a Variational Problem in Two‐Dimensional Nonlinear Magnetoelasticity , 1998 .
[75] Augusto Visintin,et al. On Landau-Lifshitz’ equations for ferromagnetism , 1985 .
[76] Nobuo Hayashi,et al. Calculation of Demagnetizing Field Distribution Based on Fast Fourier Transform of Convolution , 1996 .
[77] Dirk Praetorius,et al. H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics , 2005, LSSC.
[78] David Kinderlehrer,et al. Frustration and microstructure : an example in magnetostriction , 1991 .
[79] E Weinan,et al. A Gauss-Seidel projection method for micromagnetics simulations , 2001 .
[80] Weizhu Bao,et al. High-order local artificial boundary conditions for problems in unbounded domains , 2000 .
[81] François Alouges,et al. On global weak solutions for Landau-Lifshitz equations: existence and nonuniqueness , 1992 .
[82] M. Hestenes,et al. Methods of conjugate gradients for solving linear systems , 1952 .
[83] Leslie Greengard,et al. A fast algorithm for particle simulations , 1987 .
[84] J. Daughton. Magnetoresistive memory technology , 1992 .
[85] H. Nussbaumer. Fast Fourier transform and convolution algorithms , 1981 .
[86] C. García-Cervera. Structure of the Bloch wall in multilayers , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[87] E. Weinan,et al. Topics in the analysis and computation of stochastic differential equations , 2003 .
[88] E. Vanden-Eijnden,et al. String method for the study of rare events , 2002, cond-mat/0205527.
[89] Gilles Carbou,et al. On the Ferromagnetism equations in the non static case , 2004 .
[90] D. A. Dunnett. Classical Electrodynamics , 2020, Nature.
[91] Yunmei Chen,et al. Existence and singularities for the Dirichlet boundary value problems of Landau-Lifshitz equations , 2002 .
[92] J. Lambert. Computational Methods in Ordinary Differential Equations , 1973 .
[93] Claude Bardos,et al. On the continuous limit for a system of classical spins , 1986 .
[94] Gilles Carbou,et al. Regular solutions for Landau-Lifschitz equation in a bounded domain , 2001, Differential and Integral Equations.
[95] Gilles Carbou,et al. Recent results in micromagnetism , 1999 .
[96] Carlos J. García-Cervera,et al. Improved Gauss-Seidel projection method for micromagnetics simulations , 2003 .
[97] Vladimir L. Safonov,et al. Thermal-dynamic reversal of fine magnetic grains with arbitrary anisotropy axes orientation , 2002 .
[98] J. Weber,et al. Fluctuation Dissipation Theorem , 1956 .
[99] A. Hubert,et al. Solving Micromagnetic Problems. Towards an Optimal Numerical Method , 1993 .
[100] Weiqing Ren,et al. Higher Order String Method for Finding Minimum Energy Paths , 2003 .