Finite Element Method: Local Approach

This lecture covers the local approach of the finite element method, focusing on the compactness of nodal shape functions, generic elements, solution restrictions, overall and local sizes, boundary conditions, nodal movements localization, continuity and convergence criteria, weak form approximation, assembly of elementary quantities, stiffness matrix, and assembly operations. The instructor explains the insertion of local approximations, discrete weak forms, elementary matrices and vectors, and provides examples of finite element assemblies.