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名 称 国家数学与交叉科学中心合肥分中心 计算与应用系列讲座
题 目 Introduction to Space-Time Discontinuous Galerkin Finite Element Methods
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时 间 0000-00-00
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讲座题目: Introduction to Space-Time Discontinuous Galerkin Finite Element Methods
 

主讲人: Professor Jaap van der Vegt

Department of Applied Mathematics, University of Twente

 

  点:东区管理科研楼  数学科学学院

  间:下午15:55 -- 17:30

日期

1019

1021

1023

1026

1028

教室

1208

1308

1208

1208

1308

内容提要:

In space-time discontinuous Galerkin (DG) finite element methods time is considered an additional dimension. Spatial and temporal variables are discretized simultaneously in d+1 space using basis functions that are discontinuous, both in space and time. Space-time DG methods are well suited to solve partial differential equations on time-dependent domains. Examples are free surface waves and fluid structure interaction problems, but also internal interfaces, which occur in multi-fluid problems.

 

In this class we will first consider space-time DG discretizations for simple hyperbolic and parabolic equations to explain the main concept of the space-time DG method. In the second part some examples from fluid mechanics will be discussed, such as the compressible Euler and Navier-Stokes equations and dispersed multiphase flows modeled by non-conservative hyperbolic partial differential equations.

 
 
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