Finite Element Method: Basis Functions

This lecture covers the concept of basis functions in the context of the Finite Element Method, focusing on the construction of the basis functions from local to global maps, the interpolation of polynomials, and the assembly of finite element matrices. The instructor explains the process of defining basis functions on triangles, the local numbering, and the global numbering of vertices. The lecture emphasizes the importance of understanding the basis functions for accurate numerical simulations.