报告人：杨志国教授

报告题目：Exact structure-preserving spectral method for plasma simulations

报告摘要：

(1) In this talk, we present H1-, H(div) and H(curl)-conforming spectral method with exact preservation of the curl/divergence-free constraints for two typical PDEs arising from plasma simulations. One is the incompressible visco-resistive MHD system and the other one is the Vlasov-Ampere system. 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 the derivation of the desired basis functions.

(2) Besides, several novel second-order energy-stable or energy-conserving time discretization schemes are proposed. Ample 2D and 3D numerical examples illustrate both the accuracy of the structure-preserving basis functions and the efficiency of the proposed schemes.

报告时间：2022年10月29日下午16:00-19:00

报告形式：腾讯会议；会议号：697-731-856

获取会议密码请发邮件至：mathgzc@hit.edu.cn

报告人简介：杨志国，2017年博士毕业于新加坡南洋理工大学，2017-2020年于美国普渡大学任访问助理教授，2020年加入上海交通大学数学院任副教授。报告人长期从事谱与谱元方法、保结构数值算法及其在电磁、流体模拟中的应用。研究成果发表于计算数学的高水平期刊如SIAM系列、JCP、CMAME、JSC等。入选2020年上海海外高层次人才引进计划，2021年入选国家高层次青年人才计划，主持扬帆计划基金、国自然青年科学基金，参与中科院先导专项等。