Numerical analysis of the Landau–Lifshitz–Gilbert equation with inertial effects
DOI10.1051/m2an/2022043zbMath1497.65180arXiv2103.09888OpenAlexW3138749250MaRDI QIDQ5867505
Publication date: 14 September 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.09888
PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Applications to the sciences (65Z05) Weak solutions to PDEs (35D30) Statistical mechanics of magnetic materials (82D40) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Optimal error estimates of linearized Crank-Nicolson Galerkin method for Landau-Lifshitz equation
- A convergent and precise finite element scheme for Landau-Lifschitz-Gilbert equation
- On magnetization dynamics with inertial effects
- Micromagnetics of curved thin films
- A new finite element scheme for Landau-Lifschitz equations
- A finite-difference scheme for a model of magnetization dynamics with inertial effects
- Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
- Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
- Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator
- Projection-free approximation of geometrically constrained partial differential equations
- A New Angular Momentum Method for Computing Wave Maps into Spheres
- Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers
- Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces
- Finite Element Approximations of Wave Maps into Spheres
- On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
- The wave maps equation
- Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
- Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation
- THIN LAYERS IN MICROMAGNETISM
- The Eddy Current--LLG Equations: FEM-BEM Coupling and A Priori Error Estimates
- Optimal Error Estimates of a Linearized Backward Euler FEM for the Landau--Lifshitz Equation
- Fast and accurate finite element approximation of wave maps into spheres
- CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
- 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
- Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation
- Introduction
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