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- W2610710411 abstract "We propose an unconditionally convergent linear finite element scheme for the stochastic Landau--Lifshitz--Gilbert (LLG) equation with multi-dimensional noise. By using the Doss-Sussmann technique, we first transform the stochastic LLG equation into a partial differential equation that depends on the solution of the auxiliary equation for the diffusion part. The resulting equation has solutions absolutely continuous with respect to time. We then propose a convergent $theta$-linear scheme for the numerical solution of the reformulated equation. As a consequence, we are able to show the existence of weak martingale solutions to the stochastic LLG equation." @default.
- W2610710411 created "2017-05-12" @default.
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- W2610710411 date "2017-03-17" @default.
- W2610710411 modified "2023-09-25" @default.
- W2610710411 title "A finite element approximation for the stochastic Landau--Lifshitz--Gilbert equation with multi-dimensional noise" @default.
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- W2610710411 doi "https://doi.org/10.48550/arxiv.1703.05901" @default.
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