On a decoupled linear FEM integrator for eddy-current-LLG

DOI10.1080/00036811.2014.916401zbMath1316.65087arXiv1306.3319OpenAlexW3102831449MaRDI QIDQ5249961

No author found.

Publication date: 13 May 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3319

zbMATH Keywords

algorithmconvergence analysisferromagnetismnumerical resultfinite element method (FEM)Landau-Lifshitz-Gilbert systemeddy-current equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electro- and magnetostatics (78A30) Maxwell equations (35Q61) Ginzburg-Landau equations (35Q56)

Related Items

Temporal convergence of extrapolated BDF-2 scheme for the Maxwell-Landau-Lifshitz equations, Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator, A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation, Existence of Regular Solutions of the Landau--Lifshitz--Gilbert Equation in 3D with Natural Boundary Conditions, FEM-BEM coupling for the Maxwell-Landau-Lifshitz-Gilbert equations via convolution quadrature: weak form and numerical approximation, Computational micromagnetics with Commics, Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics, Second-order semi-implicit projection methods for micromagnetics simulations, Convergence of an implicit-explicit midpoint scheme for computational micromagnetics, Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics, The Eddy Current--LLG Equations: FEM-BEM Coupling and A Priori Error Estimates

Cites Work

• A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations
• A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism
• A new finite element scheme for Landau-Lifschitz equations
• Geometrical integration of Landau-Lifshitz-Gilbert equation based on the mid-point rule
• Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
• A Convergent Implicit Finite Element Discretization of the Maxwell–Landau–Lifshitz–Gilbert Equation
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• On Landau-Lifshitz’ equations for ferromagnetism
• Finite Element Methods for Maxwell's Equations
• Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation
• Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation