无斜率选择的分子束外延方程两阶能量稳定的线性格式

Second Order Energy Stable Linear Schemes for the Molecular Beam Epitaxy Model without Slope Selection

针对无斜率选择的分子束外延(Molecular Beam Epitaxy,MBE)模型,考虑了一种新的正则项设计和非线性项外推,得到了一种新的线性求解和能量稳定的数值格式,并从理论上证明了这种格式具有两阶时间精度.数值实验验证了格式的误差精度和能量下降等性质.

A new regular term and extrapolation of nonlinear term are considered for the molecular beam epitaxy model without slope selection,resulting in a new linear energy stable scheme.We theoretically proved that this scheme has second order time accuracy.Numerical experiments are presented,which verifies the accuracy and the energy decay property of the scheme.