Seminar: Discontinuous Galerkin Method for Convection Dominated Partial Differential Equations

Date/Time

Sept. 14, 2017 from 03:00 PM - 05:00 PM

Location

University of Toronto Institute for Aerospace Studies (UTIAS Lecture Hall)
4925 Dufferin St
North York, ON M3H5T6

Calendar

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Presentations

Title: Discontinuous Galerkin Method for Convection Dominated Partial Differential Equations

Prof. Chi-Wang Shu, Brown University, Providence United States -- Division of Applied Mathematics

Abstract:

Discontinuous Galerkin (DG) method is a finite element method with features from high resolution finite difference and finite volume schemes such as approximate Riemann solvers and nonlinear limiters. It was originally designed for solving hyperbolic conservation laws but has been generalized later to solve higher order convection dominated partial differential equations (PDEs) such as convection diffusion equations and convection dispersion equations. The DG method has been widely applied, in areas such as computational fluid dynamics, computational electromagnetism, and semiconductor device simulations, just to name a few. In this talk we will give a general survey of the DG method, emphasizing its designing principles and main ingredients. We will also describe some of the recent developments in DG methods.