First and second order numerical methods based on a new convex splitting for phase-field crystal equation
نویسندگان
چکیده
Article history: Received 5 April 2016 Received in revised form 22 September 2016 Accepted 23 September 2016 Available online 28 September 2016
منابع مشابه
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
In this paper we present two unconditionally energy stable finite difference schemes for the Modified Phase Field Crystal (MPFC) equation, a sixth-order nonlinear damped wave equation, of which the purely parabolic Phase Field Crystal (PFC) model can be viewed as a special case. The first is a convex splitting scheme based on an appropriate decomposition of the discrete energy and is first orde...
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عنوان ژورنال:
- J. Comput. Physics
دوره 327 شماره
صفحات -
تاریخ انتشار 2016