Approximate Weak Form: Galerkin Method

This lecture covers the insertion of the approximation in the approximate weak form using the Galerkin method, including the forces vector, stiffness matrix, and application of the method to practical examples. It discusses the advantages and disadvantages of the Galerkin method, the equivalence of strong and weak formulations, and the calculation of the stiffness matrix. The lecture also explores the adaptation of the approximate weak formulation, choice of approximation functions, and the construction of essential boundary conditions. It concludes with a discussion on the precision of the approximation with varying terms and the generalizability of the method.