中國科學技術大學徐岩教授學術報告通知

作者:晏妮 審核人:郭瑞鵬 點擊:[ ]

活動信息:

題目:Well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations

報告人:徐岩教授(中國科學技術大學)

報告時間:2020年9月4日(周五) 10:00-11:30

報告地點:騰訊會議ID:370 522 386

報告簡介:

In this paper, we develop well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) methods for the shallow water equations, which preserve not only the still water equilibrium, but also the moving water equilibrium. Based on the time dependent linear affine mapping, the ALE-DG method for conservation laws maintains almost all mathematical properties of DG methods on static grids, such as conservation, geometric conservation law (GCL), entropy stability and optimal error estimates. The main difficulty to obtain the well-balanced property of the ALE-DG method for shallow water equations is that the grid movement and usual time discretization may destroy the equilibrium. By adopting the GCL preserving Runge-Kutta methods and the techniques of well-balanced DG schemes on static grids, we successfully construct the high order well-balanced ALE-DG schemes for the shallow water equations. Numerical experiments in different circumstances are provided to illustrate the well-balanced property and accuracy of these schemes.

報告人簡介:

徐岩,中國科學技術大學數學科學學院教授。2005年於中國科學技術大學數學係獲計算數學博士學位。2005-2007年在荷蘭Twente大學從事博士後研究工作。2009年獲得德國洪堡基金會的支持在德國Freiburg大學訪問工作一年。主要研究領域為高精度數值計算方法。2008年度獲全國優秀博士學位論文獎,2017年獲國家自然科學基金委“優秀青年基金”。徐岩教授入選了教育部新世紀優秀人才計劃,主持國家自然科學基金麵上項目、德國洪堡基金會研究組合作計劃(Research Group Linkage Programme)、霍英東青年教師基礎研究課題等科研項目。擔任Journal of Scientific Computing, Advances in Applied Mathematics and Mechanics, Communication on Applied Mathematics and Computation、計算物理等雜誌的編委。

理學院

2020年8月31日

上一條:333manbetx

下一條:中科院鄭偉英教授學術報告通知

關閉

掃一掃分享本頁