Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noises

14 May 2015 Feng Xiaobing Li Yukun Zhang Yi

This paper studies finite element approximations of the stochastic Allen-Cahn equation with gradient-type multiplicative noises that are white in time and correlated in space. The sharp interface limit as the parameter $\epsilon \rightarrow 0$ of the stochastic equation formally approximates a stochastic mean curvature flow which is described by a stochastically perturbed geometric law of the deterministic mean curvature flow... (read more)

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