An efficient multigrid preconditioner for Maxwell's equations in micromagnetism

DOI10.1016/j.matcom.2009.02.009zbMath1197.78005OpenAlexW2158860400MaRDI QIDQ991493

Ľubomír Baňas

Publication date: 7 September 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.02.009

zbMATH Keywords

finite elementsmultigridpreconditionerferromagnetismMaxwell-Landau-Lifshitz-Gilbert equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

Related Items (4)

Temporal convergence of extrapolated BDF-2 scheme for the Maxwell-Landau-Lifshitz equations ⋮ Computational micromagnetics with Commics ⋮ Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording ⋮ Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics

Uses Software

• ALBERT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Multigrid in H(div) and H(curl)
• Geometrical integration of Landau-Lifshitz-Gilbert equation based on the mid-point rule
• An eddy-current and micromagnetism model with applicationsto disk write heads
• A Convergent Implicit Finite Element Discretization of the Maxwell–Landau–Lifshitz–Gilbert Equation
• Multigrid Method for Maxwell's Equations
• On Landau-Lifshitz’ equations for ferromagnetism
• Finite Element Methods for Maxwell's Equations
• A Prolongation/Restriction Operator for Whitney Elements on Simplicial Meshes
• Accurate discretization of a nonlinear micromagnetic problem

This page was built for publication: An efficient multigrid preconditioner for Maxwell's equations in micromagnetism