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Introduction
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Scalable Parallel Micromagnetic Solvers
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Kurzfassung
Contents
1. Motivation
2. The Finite Element Method
2.1 Poisson Problem
2.2 The Weak Formulation
2.3 Galerkin Discretization
2.4 Mesh Generation
2.5 Stiffness Matrix and Right Hand Side
3. Finite Element Micromagnetics
3.1 Gibbs Free Energy
3.2 Gilbert Equation of Motion
3.3 Discretization
3.3.1 Exchange Energy
3.3.2 Magnetocrystalline Anisotropy Energy
3.3.3 Zeeman Energy
3.4 Demagnetizing Field and Magnetostatic Energy
3.5 Effective Field
4. Solution of the Micromagnetic Equations
4.1 Energy Minimization
4.2 The Dynamic Equation
4.2.1 Preconditioning
4.3 The Nudged Elastic Band Method
5. Implementation
5.1 Required Libraries
5.2 Program Structure
5.2.1 Serial Initialization
5.2.2 Parallel Initialization
5.2.3 Parallel Solution
5.2.4 Clean Up
6. Optimization
6.1 Profiling
6.2 Data I/O
6.2.1 Mesh Refinement
6.2.2 Data Output
6.3 Performance
7. Domain Wall Pinning in SmCo Permanent Magnets
7.1 Introduction
7.2 Experimental Characterization
7.3 Simplified models
7.3.1 Pinning on a Planar Interface
7.3.2 Pinning on an Intercellular Phase
7.3.3 Pinning on the Cell Structure
7.3.4 Artificial Pinning
7.4 Rhomboidal Cell Structure
7.4.1 Attractive and Repulsive Pinning
7.4.2 Influence of the Thickness of the Intercellular Phase
7.5 Conclusions
8. Nucleation Processes in FePt Nanoparticles
8.1 Introduction
8.2 Finite Element Model
8.3 Stoner-Wohlfarth Behavior
8.4 Multiple Easy Axes
8.5 Conclusions
9. Permalloy Nanodots
9.1 Introduction
9.2 Analytical and Numerical Models
9.2.1 The Analytical Rigid Vortex Model
9.2.2 Numerical Finite Element Simulations
9.3 Static Properties
9.3.1 Magnetization Distribution
9.3.2 Energy
9.3.3 Hysteresis
9.3.4 Average Magnetization
9.3.5 Surface Charge Density
9.3.6 Phase Diagram
9.4 Dynamic Properties
9.4.1 Vortex Precession
9.4.2 Discrete Fourier Transforms
9.4.3 Radial Modes
9.5 Conclusions
10. Elliptical Permalloy Nanoparticles
10.1 Single Particle
10.1.1 Geometry and Material Parameters
10.1.2 Magnetization Reversal
10.2 Chain of Particles
10.2.1 Particles with Rectangular Shape
10.2.2 Behavior in an External Field Parallel to the Chain Axis
10.2.3 Elliptical Particles with Contact Faces
10.3 Conclusions
A. Micromagnetics Packages
B. Selected Software Packages
C. Typical Material Parameters
List of Figures
List of Tables
Bibliography
Werner Scholz 2003-06-08
