国家天元数学中部中心高性能计算系列报告 | 包承龙 (清华大学)

发布时间: 2022-05-12 17:07

报告:Bregmanian Proximal Gradient Methods for the Computation of Phase Field Crystal Models

报告时间:2022-05-13  14:00 - 15:30

报告人:包承龙  清华大学

腾讯会议ID:619-273-313

Abstract:In this talk, we focus on the fast computation of stationary states of a class of phase field crystal models using the Bregmanian proximal gradient (BPG) methods. In the full discretization formulation, it is proved that the sequence generated by the BPG method satisfies the energy dissipation property. Moreover, we extend the BPG to the infinite-dimensional case and analyze its convergence rate using the Lojasicwicz-Simon inequality. Finally, experiments on LB, LP and OK models validate the effectiveness of the proposed method.