Improved Gauss-Seidel projection method for micromagnetics simulations

Carlos J. García-Cervera; E. Weinan

doi:10.1109/TMAG.2003.810610

Improved Gauss-Seidel projection method for micromagnetics simulations

Carlos J. García-Cervera
, E. Weinan

Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

The Gauss-Seidel projection method (GSPM) (Wang et al., J. Comp. Phys., vol. 171, pp. 357-372, 2001) is a simple, efficient, and unconditionally stable method for micromagnetics simulations. We present an improvement of the method for small values of the damping parameter. With the new method, we are able to carry out fully resolved simulations of the magnetization reversal process in the presence of thermal noise.

Original language	English (US)
Pages (from-to)	1766-1770
Number of pages	5
Journal	IEEE Transactions on Magnetics
Volume	39
Issue number	3 II
DOIs	https://doi.org/10.1109/TMAG.2003.810610
State	Published - May 2003

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

Keywords

Landau-Lifshitz equations
Micromagnetics
Projection method

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10.1109/TMAG.2003.810610

Cite this

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abstract = "The Gauss-Seidel projection method (GSPM) (Wang et al., J. Comp. Phys., vol. 171, pp. 357-372, 2001) is a simple, efficient, and unconditionally stable method for micromagnetics simulations. We present an improvement of the method for small values of the damping parameter. With the new method, we are able to carry out fully resolved simulations of the magnetization reversal process in the presence of thermal noise.",

keywords = "Landau-Lifshitz equations, Micromagnetics, Projection method",

author = "Garc{\'i}a-Cervera, \{Carlos J.\} and E. Weinan",

note = "Funding Information: Manuscript received September 17, 2002; revised January 20, 2003. The work of W. E was supported in part by the National Science Foundation under Grant DMS01–30107. C. J. Garc{\'i}a-Cervera is with the Mathematics Department, University of California, Santa Barbara, CA 93106 USA (e-mail: [email protected]). W. E is with the Mathematics Department and Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08540 USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TMAG.2003.810610",

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AU - Weinan, E.

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KW - Landau-Lifshitz equations

KW - Micromagnetics

KW - Projection method

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 3 II

ER -

Improved Gauss-Seidel projection method for micromagnetics simulations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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