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Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation

Sören Bartels and Andreas Prohl
SIAM Journal on Numerical Analysis
Vol. 44, No. 4 (2006), pp. 1405-1419
Stable URL: http://www.jstor.org/stable/40232675
Page Count: 15
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Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation
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Abstract

The Landau-Lifshitz-Gilbert equation describes the dynamics of ferromagnetism, where strong nonlinearity and nonconvexity are hard to tackle: so far, existing explicit schemes to approximate weak solutions suffer from severe time-step restrictions. In this paper, we propose an implicit fully discrete scheme and verify unconditional convergence.

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