A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels
报告题目(Title)：A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels
报告人(Speaker)：阴小波（华中师范大学）
地点(Place)：后主楼1129
时间(Time)：2021年7月16日10:00-11:00
邀请人(Inviter)：陈华杰
报告摘要
The numerical solution of nonlocal constrained value problems with integrable kernels is considered in this talk. These nonlocal problems arise in nonlocal mechanics and nonlocal diffusion. The structure of the true solution to the problem is analyzed first. The analysis leads naturally to a new kind of discontinuous Galerkin method that can more efficiently solve the problem numerically. The new method is shown to be asymptotically compatible. Moreover, it has optimal convergence rate for any dimensional case under mild assumptions. We also give some applications of this method, such as to diffusion and sub-diffusion equations.
