题目：Entropy Stable Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws
报告人: Gero Schnuecke，  University of Cologne

时间： 2019年3月28日（周四） 上午 9：30-10：30
地点： 管理科研楼1418

摘要：
In this talk, a fully-discrete provable entropy stable nodal discontinuous Galerkin spectral element method (DGSEM) will be presented. The DGSEM is constructed with a local tensor-product Lagrange-polynomial basis computed from Legendre-Gauss-Lobatto (LGL) points. Furthermore, the collocation of interpolation and quadrature nodes is used in the temporal and spatial discretization. This approach leads to discrete derivative approximations in time and space that are summation-by-parts (SBP) operators. The SBP property and suitable two-point flux functions, which satisfy the discrete entropy condition from Tadmor, allow to mimic results from the continuous entropy analysis on the discrete level. In particular, the discrete entropy analysis for the methods described herein does not assume any exactness of quadrature in the variational forms.