Finite Element Development: Higher Order

This lecture covers the development of higher-order finite elements, including the notion of internal nodes without connection roles and the construction of higher-order basis functions. It also discusses the Lagrangian finite element family, quadratic finite elements, and the stiffness matrix components. The instructor explains the process of digital integration, Gauss-Legendre quadrature rules, and the evaluation of components of the elastic stiffness matrix of a quadratic element.