Optimal Error Analysis of Euler and Crank--Nicolson Projection Finite Difference Schemes for Landau--Lifshitz Equation-Reference-Cited by-同舟云学术

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Optimal Error Analysis of Euler and Crank--Nicolson Projection Finite Difference Schemes for Landau--Lifshitz Equation

Published:2021-01 Issue:3 Volume:59 Page:1639-1662
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

An Rong,Gao Huadong,Sun Weiwei

Funder

Hubei Key Laboratory of Engineering, Modeling and Scientific Computing

National Natural Science Foundation of China

Beijing Normal University

United International College

Guangdong Province Higher Vocational Colleges and Schools Pearl River Scholar Funded Scheme

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1335431

Reference31 articles.

1. Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation

2. CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM

3. A convergent and precise finite element scheme for Landau–Lifschitz–Gilbert equation

4. On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness

5. Optimal Error Estimates of Linearized Crank–Nicolson Galerkin Method for Landau–Lifshitz Equation

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1. A Unified $$L^2$$ Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations;Journal of Scientific Computing;2024-05-21

2. Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii–Moriya interaction;Communications in Nonlinear Science and Numerical Simulation;2023-11

3. Error analysis of a linear numerical scheme for the Landau–Lifshitz equation with large damping parameters;Mathematical Methods in the Applied Sciences;2023-09-06

4. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints;IMA Journal of Numerical Analysis;2023-06-08

5. Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches;SIAM Journal on Scientific Computing;2023-04-26

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