Applications of \(\mathcal H\)-matrix techniques in micromagnetics

DOI10.1007/s00607-004-0098-7zbMath1070.78011OpenAlexW1983865093MaRDI QIDQ556640

Dirk Praetorius, Nikola Popović

Publication date: 22 June 2005

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-004-0098-7

zbMATH Keywords

interpolationfinite element methodmicromagneticshierarchical matricesmagnetic potentialLandau-Lifshitz model

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38) Optimization problems in optics and electromagnetic theory (78M50)

Related Items

Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models, A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations, Preconditioned nonlinear conjugate gradient method for micromagnetic energy minimization, Fast stray field computation on tensor grids, Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation, The mimetic finite difference method for the Landau-Lifshitz equation, On stabilized models in micromagnetics, MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS

Cites Work

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• The best strong uniqueness constant for a multivariate Chebyshev polynomial
• Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models
• Energy minimizers for large ferromagnetic bodies
• Parametrized measures and variational principles
• Construction and arithmetics of \(\mathcal H\)-matrices
• Introduction to hierarchical matrices with applications.
• Direct integration of the Newton potential over cubes
• Effective simulation of a macroscopic model for stationary micromagnetics
• \(\mathcal H^2\)-matrix approximation of integral operators by interpolation
• Low-rank approximation of integral operators by interpolation
• Beyond Young measures
• Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy
• Analysis of the Finite Element Approximation of Microstructure in Micromagnetics
• Numerical Analysis for a Macroscopic Model in Micromagnetics
• Young measure approximation in micromagnetics
• Multilevel approximation of boundary integral operators
• Numerical analysis of relaxed micromagnetics by penalised finite elements