报告人：卢键方博士， 华南师范大学

时间：2019年7月1日（周一）15:00―16:00

地点：管理科研楼 1318室

报告题目：A penalty discontinuous Galerkin method for one-dimensional nonlocal diffusion problems

报告摘要：

In this talk, we propose and analyze a new discontinuous Galerkin method for solving one-dimensional steady-state and time-dependent ND problems, based on a formulation that directly penalizes the jumps across the element interfaces in the nonlocal sense. We show that the proposed discontinuous Galerkin scheme is stable and convergent. Moreover, the local limit of such DG scheme recovers classical DG scheme for the corresponding local diffusion problem, which is a distinct feature of the new formulation and assures the asymptotic compatibility of the discretization. Numerical tests are also presented to demonstrate the effectiveness and the robustness of the proposed method.