Weak Galerkin Finite Element Method For Curved Regions

In this paper,we study the second-order elliptic problems in convex curved regions by using the weak Galerkin finite element method.For curved regions,we use the straight-edge polygonal partition with multiple short edges to approximate the curved boundary.We achieve the optimal convergence order in H1 norm for higher-order elements.Finally,we provide some numerical examples to verify the correctness of the theoretical results.