课程名称：间断有限元简介

英文名称：Introduction to Discontinuous Galerkin Methods

开课单位：数学学院

上课时间：7月 6, 8, 9, 10,15日，  8:30-11:40

讲课教师：舒其望

预修课程：elementary numerical analysis and computer programming

上课地点：教五楼5307教室　

该学期教材：Numerical Solutions of Partial Differential Equations,
          S. Bertoluzza, S. Falletta, G. Russo and C.-W. Shu,
          Advanced Courses in Mathematics CRM Barcelona,
          Birkh/"{a}user, Basel, 2009, pages 149-201.

课程简介：This short course is open to upper level undergraduate students who have taken basic numerical analysis courses, and graduate students.  It will give a short introductionto 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.