汇报标题 (Title)：Structure-preserving spectral and spectral-element method for Vlasov-Maxwell equations (Vlasov-Maxwell方程的保结构谱步骤和谱元法)
汇报人 (Speaker)：杨志国 副教授（上海交通大学）
汇报功夫 (Time)：2024年9月6日(周五) 10：00-12：00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：蔡敏、李常品
主办部门：理学院数学系
汇报提要：In this talk, we present structure-preserving spectral and spectral element methods for Vlasov-Maxwell (VM) equations. Two key ingredients, i.e. exact de Rham complexes and their commuting diagram, and the derivative property of the generalized Jacobi polynomials are essential for deriving the divergence-free spectral element basis and obtaining fast solution algorithms. Besides, asymptotic-preserving time discretization schemes are proposed for VM equations in the quasi-neutral regime. Ample numerical examples illustrate both the accuracy of the divergence-free basis functions and the efficiency of the proposed schemes.
