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Introduction to Space-Time Discontinuous Galerkin Finite Element Methods
Introduction to Space-Time Discontinuous Galerkin Finite Element Methods
教师介绍
Professor of Numerical Analysis and Computational Mechanics,Department of Applied Mathematics,Chair Mathematics of Computational Science,Faculty of Electrical Engineering, Mathematics and Computer Science,University of Twente

本讲教师:Jaap van der Vegt
所属学科:理科
人  气:3794

课程介绍
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【Jaap van der Vegt】 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 教室 10月19日 1208 10月21日 1308 10月23日 1208 10月26日 1208 10月28日 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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