演講訊息 TALKS

The discontinuous Galerkin (DG) method, which is a finite element method suitable for solving convection dominated partial differential equations (PDEs). This method has gained a lot of popularity in recent years because of its nice mathematical properties in stability and convergence, its flexibility to many different PDEs from applications, and its efficiency for adaptivity and parallel implementation. In the mini-course, we will give a general introduction and a detail implementation of the DG methods for solving time-dependent, convection-dominated PDEs, including the hyperbolic conservation laws, convection-diffusion equations, and Hamilton-Jacobi equations. We will discuss cell entropy inequalities, nonlinear stability of DG methods.