数学学科Seminar第2696讲 Vlasov-Maxwell方程的保结构谱方法和谱元法

创建时间:  2024/09/04  龚惠英   浏览次数:   返回

报告题目 (Title):Structure-preserving spectral and spectral-element method for Vlasov-Maxwell equations (Vlasov-Maxwell方程的保结构谱方法和谱元法)

报告人 (Speaker):杨志国 副教授(上海交通大学)

报告时间 (Time):2024年9月6日(周五) 10:00-12:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):蔡敏、李常品

主办部门:金沙威尼斯欢乐娱人城数学系

报告摘要: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.

上一条:物理学科Seminar第681讲 通过绝对星等的转变缓解哈勃参数和生长率危机

下一条:数学学科Seminar第2695讲 基于高维数据的复杂生物系统临界状态预警方法


数学学科Seminar第2696讲 Vlasov-Maxwell方程的保结构谱方法和谱元法

创建时间:  2024/09/04  龚惠英   浏览次数:   返回

报告题目 (Title):Structure-preserving spectral and spectral-element method for Vlasov-Maxwell equations (Vlasov-Maxwell方程的保结构谱方法和谱元法)

报告人 (Speaker):杨志国 副教授(上海交通大学)

报告时间 (Time):2024年9月6日(周五) 10:00-12:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):蔡敏、李常品

主办部门:金沙威尼斯欢乐娱人城数学系

报告摘要: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.

上一条:物理学科Seminar第681讲 通过绝对星等的转变缓解哈勃参数和生长率危机

下一条:数学学科Seminar第2695讲 基于高维数据的复杂生物系统临界状态预警方法