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Journal of Scientific Computing

Erschienen in:

15.02.2016

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

verfasst von: Rong An

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2016

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Abstract

This paper focuses on the optimal error estimates of a linearized Crank–Nicolson scheme for the Landau–Lifshitz (LL) equation describing the evolution of spin fields in continuum ferromagnets. We present a rigorous analysis for the regularity of the local strong solution to LL equation with Neumann boundary conditions. The proof of the optimal error estimates are based upon an error splitting technique proposed by Li and Sun. Numerical results are provided to confirm our theoretical analysis.

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Titel: Optimal Error Estimates of Linearized Crank–Nicolson Galerkin Method for Landau–Lifshitz Equation
verfasst von: Rong An
Publikationsdatum: 15.02.2016
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2016
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-016-0181-1

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