Unconditionally optimal convergence analysis of second-order BDF scheme for Landau-Lifshitz equation

DOI10.11948/20200189MaRDI QIDQ6596662

Bolin Chen, Rong An

Publication date: 2 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

finite element methodoptimal error estimatesLandau-Lifshitz equationBDF2 scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• The mimetic finite difference method for the Landau-Lifshitz equation
• Numerical Methods for the Landau--Lifshitz Equation
• Projection-free approximation of geometrically constrained partial differential equations
• Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
• Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
• A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• A Convergent and Constraint‐Preserving Finite Element Method for thep‐Harmonic Flow into Spheres
• New development in freefem++
• Optimal Error Estimates of a Linearized Backward Euler FEM for the Landau--Lifshitz Equation
• CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
• Error estimates for a semi-implicit numerical scheme solving the Landau–Lifshitz equation with an exchange field
• Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation
• Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
• Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
• A Gauss-Seidel projection method for micromagnetics simulations

This page was built for publication: Unconditionally optimal convergence analysis of second-order BDF scheme for Landau-Lifshitz equation