报告题目：Compatible  norm convergence of the variable-step L1 energy stable scheme for the time-fractional MBE model

报 告 人：杨银教授

报告摘要：The convergence of the variable-step L1 schemes are studied for the time-fractional molecular beam epitaxy (MBE) model with or without slope selection. By taking advantage of the convex splitting of nonlinear bulk, a novel asymptotically compatible  norm error estimates of the variable-step L1 schemes are established under a convergence-solvability-stability (CSS)-consistent time-step constraint. Just as the backward Euler scheme can maintain the physical properties of the MBE equation, the variable-step L1 scheme can also preserve the corresponding properties of the time-fractional MBE model, including the volume conservation, variational energy dissipation law and  norm boundedness. Numerical experiments are presented to support our theoretical results.

报告人简介：杨银，1982 年出生，湘潭大学数学与计算科学学院院长、教授，湖南国家应用数学中心常务副主任，湖南省科技创新领军人才、湖南省首批芙蓉青年学者、湖南省担当作为优秀干部。主持国家重点研发计划、国家自然科学基金、湖南省杰出青年科学基金等多项研究项目。

报告时间：2022年11月01日9:00-11:00

报告地点：腾讯会议ID： 963-448-005

主办单位：伟德国际1946源自英国