08-31【J.J.W. van der Vegt】Zoom 天元基金几何与随机分析及其应用交叉讲座之172

发布者:卢珊珊发布时间:2020-08-21浏览次数:462

报告题目:Space-Time Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

 

报告人: J.J.W. van der Vegt (University of Twente)

 

报告地点:Online腾讯会议,会议号为339 6612 3504

 

报告时间:

15:00-17:00, August 31, 2020 (Beijing time)

15:00-17:00, September 1, 2020 (Beijing time)

15:00-17:00, September 2, 2020 (Beijing time)

15:00-17:00, September 3, 2020 (Beijing time)

15:00-17:00, September 4, 2020 (Beijing time)

 

摘要:

In Space-Time Discontinuous Galerkin finite element methods for time-dependent partial differential equations time is considered as an additional dimension. By formulating the problem in space-time, the spatial and temporal variables can be simultaneously discretized using basis functions that are discontinuous both in space and in time. Space-time DG methods are well suited to solve a large class of partial differential equations on (time-dependent) domains and provide accurate and conservative numerical discretizations that are suitable for hp-mesh adaptation.

 

In this series of lectures, we will first consider space-time DG discretizations for simple hyperbolic and parabolic equations in order 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, the incompressible Navier-Stokes equations, and if time permits, dispersed multiphase flows modeled by non-conservative hyperbolic partial differential equations.