Lecture "Introduction to Discontinuous Galerkin Methods"
Professor Chi-Wang Shu, Division of Applied Mathematics, Brown University, Providence, Rhode Island, USA
Professor Chi-Wang Shu is 2017/2018 Sackler Fellow of the Mortimer and Raymond Sackler Institute of Advanced Studies.
This course will give a short introduction to a class of very popular finite element methods, the so-called discontinuous Galerkin methods, for solving convection dominated partial differential equations. We will describe the algorithm formulation, give stability analysis and error estimates, and discuss practical implementation issues of the discontinuous Galerkin methods when applied to hyperbolic conservation laws, convection diffusion equations, PDEs containing higher derivatives such as the KdV equations, and steady state elliptic type equations