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
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
地 点：东区管理科研楼 数学科学学院
时 间：下午15:55 -- 17:30
日期 | 10月19日 | 10月21日 | 10月23日 | 10月26日 | 10月28日 |
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.
