Structure-preserving finite element methods for computing dynamics of rotating Bose–Einstein condensates

主 讲 人 ：李猛    副教授

活动时间：09月28日10时30分    

地      点 ：理科群1号楼C-105室

讲座内容：

This work is concerned with the construction and analysis of structure-preserving Galerkin methods for computing the dynamics of rotating Bose–Einstein condensate (BEC) based on the Gross-Pitaevskii equation with angular momentum rotation. Due to the presence of the rotation term, constructing finite element methods (FEMs) that preserve both mass and energy remains an unresolved issue, particularly in the context of nonconforming FEMs. Furthermore, in comparison to existing works, we provide a comprehensive convergence analysis, offering a thorough demonstration of the methods' optimal and high-order convergence properties. Finally, extensive numerical results are presented to check the theoretical analysis of the structure-preserving numerical method for rotating BEC, and the quantized vortex lattice's behavior is scrutinized through a series of numerical tests.

主讲人介绍：

李猛，郑州大学副教授，2017年博士毕业于华中科技大学。研究方法主要包括：虚拟元方法、有限元方法、谱方法，近期的研究问题集中在几何PDE、BEC、半导体材料。在ESAIM、IMAJNA、CMAME、JCP等期刊上发表学术论文六十余篇。曾主持中国博士后科学基金第16批特别资助（站中）、国家自然科学基金青年项目和中国博士后基金面上项目等。获得2021年度河南省自然科学二等奖。

发布时间：2024-09-26 09:17:59