Speaker：Yanqiu Wang（Nanjing Normal University）

Time：2022-05-12, 16:30

Location：Tencent Meeting ID：153327738（No Password）

Abstract:

This talk focuses on the weak Galerkin (WG) mixed finite element method for second order elliptic equations on 2D domains with curved boundary. It is well-known that the discrepancy between the curved physical domain and the polygonal approximation domain leads to a loss of accuracy for high order discretizations. We propose a simple solution using the nice feature of the WG method that it can be defined on polygonal meshes. Curved boundary can then be better approximated by polygons with many short edges. The main advantage of this approach is its simplicity in the implementation. We show that a boundary correction technique can be further employed to reduce the number of short edges needed in order to reach optimal convergence. Numerical results agree well with the theoretical predictions.