Energy-Conserving Discontinuous Galerkin Methods for Vlasov Systems

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:Prof. Zhong Xinghui
:2020-11-26 10:00
:实验楼105 (线下)

SpeakerProf. Zhong Xinghui

          Zhejiang University

Title: Energy-Conserving Discontinuous Galerkin Methods for Vlasov Systems

Time26th, Nov., 2020, 10:00

Location实验楼105 (线下

Abstract:

We propose energy-conserving numerical schemes for the Vlasov-type systems. Those equations are fundamental models in the simulation of plasma physics. The total energy is an important physical quantity that is conserved by those models. Our methods are the first Eulerian solver that can preserve fully discrete total energy conservation. The main features of our methods include energy-conservative temporal and spatial discretization. In particular, an energy-conserving operator splitting is proposed to enable efficient calculation of fully implicit methods. We validate our schemes by rigorous derivations and benchmark numerical examples.

Speaker Introduction

仲杏慧教授于2007年获中国科学技术大学学士学位,2012年获美国布朗大学博士学位,导师为舒其望教授。2012-2016分别在密歇根州立大学和犹他大学从事博士后研究工作。2016年入职浙江大学,现任浙江大学百人计划研究员、博士生导师。研究方向为数值分析,科学计算,不确定性量化等领域,主要研究工作包括间断有限元方法的算法设计及其分析、动力学传输方程的数值模拟及其在等离子体物理中的应用、不确定量化及随机计算算法及应用等方面。

 

联系人:熊涛